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Calibration of orifice meters at low Reynolds numbers 1966

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CALIBRATION OF ORIFICE METERS AT LOW REYNOLDS NUMBERS by FREDERICK CLIFFORD SWAIN Diploma, Royal M i l i t a r y College of Canada, I960 B. A. Sc., U n i v e r s i t y of Toronto, 1961 A THESIS SUBMITTED IN PARTIAL FULFILMENT OF the requirements f o r the degree o f MASTER OF APPLIED SCIENCE i n the Department o f CHEMICAL ENGINEERING We accept t h i s t h e s i s as conforming to the re q u i r e d standard- THE UNIVERSITY OF BRITISH COLUMBIA January, 1966 i i ABSTRACT Seventeen square-edged ori f i c e plates were calibrated to study tiie effect of varying throat length, both i n the absence and in the presence of geomet- r i c a l similarity, on the coefficient of discharge for pipe Reynolds numbers from 20 to1 10,000. : The experiments involved the use of hydraulically smooth pipe i n test lines of 1 - inch, l o 5 - inch and 2 - inch nominal I.D., corner pressure taps and Beta ratios (orifice diameter^iipe diameter) of 0.2, O.U and 0.6. ; • Six of the plates were b u i l t using design c r i t e r i a recommended by the A.S.H.E. i n "Fluid Meters" ( l ) , and with Beta ratios specified at 0 oU» Each test line was used with two plates, which were identical except for a variation i n throat length within the range of the given design recommendations. A comparison of discharge coefficients as a function of pipe Reynolds number indicated the followingt (1) Reynolds numbers 30 - 3,000. Consistent differences of 2-6% were observed in the calibration curves due to the variation i n throat longth allowed by "Fluid Meters".' ( 1 ) . (2) Reynolds number 3,000 - 10,000. Geometry appeared to be much less important, as a l l calibration curves tended to coincide. Two further plates, for the 1.5 - inch pipe only, were bu i l t using the A.S.M.E. "Power Test Code" (2) as a design reference. They were designed to have respectively the minimum and maximum throat length allowable under the code. The results, when plotted, indicated that i n a pipe Reynolds number range of h0 - 1,500, plates b u i l t identically except for small' differences in throat length, s t i l l gave d i s t i n g u i 6 h a b l y different calibration curves. i i i The remaining nine plates were divided into three groups of three plates each, encompassing the three pipe, diameters and three Beta ratios. A l l plates within a group were geometrically similar. The results, for pipe Reynolds numbers from 20 to 2,000, indicated that a t o t a l specification of o r i f i c e shape gave consistent calibration curves with no apparent absol- ute size effects. Thus, both "Fluid Meters" *and the "Power Test Code" recommended design c r i t e r i a for standard o r i f i c e plates which do not completely take into account the effect'of geometry on the coefficient of discharge at low Reynolds numbers. In particular, the tolerances allowed on throat length are too large. TABLE OF CONTENTS INTRODUCTION 1 EXPERIMENTAL A Apparatus 8 V i s c o s i t y and Density Measurements 2h Experimental Procedure 25" THEORY 27 RESULTS AND DISCUSSION 33 NOMENCLATURE U7 LITERATURE CITED 5*1 APPENDIX 1 - RESULTS 1-1 A Sample C a l c u l a t i o n 1-1 T a b u l a t i o n o f C a l c u l a t e d Results 1-3 APPENDIX 2 - DATA ". 2-1 Tabulation o f the Experimental Data 2-2 APPENDIX 3 - ERROR ANALSSSS 3-1 Tabulation o f the S t a t i s t i c a l Results 3-2 APPENDIX U - CALIBRATIONS U - l C a l i b r a t i o n o f Thermocouples and Thermometers . . . .U-UO C a l i b r a t i o n o f tonometer F l u i d s U-l6 LIST OF TABLES Page Dimensions o f G.S. O r i f i c e S e r i e s and A s s o c i a t e d Equipment lU Dimensions of Standard, Sharp and S p e c i a l O r i f i c e S e r i e s and A s s o c i a t e d Equipment 15 ) Comparison o f A c t u a l and T h e b r i t i c a l l y Maximum E n t r y Lengths f o r Laminar and Turbulent Flows 19 D e s c r i p t i o n of Manometers 20 R e s u l t s - O r i f i c e type 1.0 i n c h Standard 1-3 Results - O r i f i c e type 1.5 i n c h Standard 1-5 R e s u l t s - O r i f i c e type 2.0 i n c h Standard 1-6 R e s u l t s - O r i f i c e type 1.0 i n c h Sharp 1-8 Results - O r i f i c e type 1.5 i n c h Sharp 1-10 R e s u l t s - O r i f i c e type 2.0 i n c h Sharp 1-11 R e s u l t s - O r i f i c e type G.S. Beta - 0.2 1-13 Results - O r i f i c e type G.S. Beta - O.U 1-16 Results - O r i f i c e type G.S. Beta - 0.6 1-21 R e s u l t s - O r i f i c e type S p e c i a l 15 1-28 R e s u l t s - O r i f i c e type S p e c i a l 30 1-29 Data - O r i f i c e type Standard 1.0 i n c h 2-2 Data - O r i f i c e type Standard 1.5 i n c h 2-3 Data - O r i f i c e type Standard 2.0 i n c h 2-5 Data - O r i f i c e type Sharp 1.0 i n c h 2-6 Data - O r i f i c e type Sharp 1.5 i n c h 2-8 Data - O r i f i c e type Sharp 2.0 i n c h 2-9 Data - O r i f i c e type G.S. Beta - 0.2 2-11 Data - O r i f i c e type G.S. Beta - O.U 2-lU Table 2-9 Data - O r i f i c e type 0. S. Beta =0 .6 2-10 Data - O r i f i c e type S p e c i a l 15 2- 11 Data - O r i f i c e type S p e c i a l 30 3- 1 95% confidence i n t e r v a l f o r K and Ren, O r i f i c e type 1.0 i n c h Standard 3-2 95% confidence i n t e r v a l f o r K and Re n, O r i f i c e type 1.5 i n c h Standard 3-3 95* confidence i n t e r v a l f o r K and Ren, O r i f i c e type 2.0 i n c h Stand.?rd 3-h 95't confidence i n t e r v a l f c r K and" Ren, O r i f i c e type 1.0 i n c h Sharp 3-5 95% confidence i n t e r v a l f o r K and K e n , O r i f i c e type 1.5 i n c h Sharp ,3-6 95^ confidence i n t e r v a l f o r K and Re-n, O r i f i c e type 2.0 i n c h Sharp 3-7 95% confidence i n t e r v a l f o r K and Ren, O r i f i c e type G. S. Beta =0.2 i 3-8 ' 95$ -confidence i n t e r v a l f o r K and Re-p* O r i f i c e ' type G. S. Beta = O.U 3-9 95% confidence i n t e r v a l f o r K and Re n, O r i f i c e type G. S. Beta = 0.6 3-10 95$ confidence i n t e r v a l f o r K and Rep, O r i f i c e type S p e c i a l 15 3-11 95% confidence i n t e r v a l f o r K and Ren, O r i f i c e type S p e c i a l 30 vi i Table' Page Ii -1 ' Data f o r the c a l i b r a t i o n of thermocouples h-2 1,2,3,14,5, and thermometer 1 . it-2 C a l i b r a t i o n data f o r the thermometers 2 and 3 U-3 h-3 C a l i b r a t i o n data f o r carbon t e t r a c h l o r i d e h-9 h-h C a l i b r a t i o n data f o r benzene U-9 V LIST OF FIGURES v i i i Figure R Page 1 C a l i b r a t i o n r e s u l t s - Ambrosius and Spink (10) 2 - i n c h and 3 - i n c h pipe 3 2 C a l i b r a t i o n r e s u l t s - Thrasher and Binder (16) 1 - i n c h pipe,, 5* 3 C a l i b r a t i o n r e s u l t s - Galloway (Iii) 1»5 - i n c h and 2 - i n c h pipes 6 h Schematic drawing of the apparatus 9 J> Summary of o r i f i c e p l a t e design c r i t e r i a ' 12 6 Schematic drawing of the t e s t s e c t i o n 17 7 1" M u l t i - p l a t e flow s t r a i g h t e n e r assembly 21 8 1" O r i f i c e flange assembly 22 9 Schematic drawing of an o r i f i c e p l a t e f o r the meter equation d e r i v a t i o n 27 10 C a l i b r a t i o n r e s u l t s - Standard and Sharp o r i f i c e p l a t e s 1 - i n c h t e s t l i n e 3U 11 C a l i b r a t i o n r e s u l t s - Standard and Sharp o r i f i c e p l a t e s lo$ - i n c h t e s t l i n e 35 12 C a l i b r a t i o n r e s u l t s - Standard and Sharp o r i f i c e p l a t e s 2.0 - i n c h t e s t l i n e 36 13 C a l i b r a t i o n r e s u l t s - Standard and Sharp o r i f i c e p l a t e s 1.0, 1 .5 and 2.0 - i n c h t e s t l i n e s 37 l l i C a l i b r a t i o n r e s u l t s - S p e c i a l 15" and S p e c i a l 30 o r i f i c e p l a t e s 39 IX Figure Page. 1 5 Calibration results - G.S., Beta - 0 0 2 1 . 0 , l o ' 5 and 2 o 0 - inch test lines U0 1 6 Calibration results - G.S0, Beta - O.U l o O , l o 5 and 2 » 0 inch test lines 1 * 1 1 7 Calibration results - G.S., Beta - 0 » 6 l o O , l o 5 and 2 o 0 - inch test lines i\Z 1 8 Calibration results - Standard, Sharp, G.S., Galloway and A.S.M.E. U3 U-l Calibration of thermocouple 1 k-U k-2 Calibration of thermocouple 2 1 U-3 Calibration of thermocouple 3 ^-6 U-l* Calibration of thermocouple U ^ "^ U-5 Calibration of thermocouple 5 ^ - 8 U-6 Calibration of thermometer #1 h-11 U-7 Calibration of thermometer # 2 k-l 2 U-8 Calibration of thermometer #3 ^-13 U-9 Calibration of carbon tetrachloride U-lU U-10 ..Calibration of benzene U-l> A 0 K N OV.' LK I1GE ME W T T am indebted to Dr. Norman Epste i n f o r h i s help and encouragement durinp the course of t h i s p r o j e c t . The a s s i s t a n c e of Hr. R. Muelchen, Mr. J . Zorn 3nd Hr. J . Baronowski i s appreciated f o r t h e i r s J v i c c and p r o f i c i e n c y i n b u i l d i n g the r e q u i r e d equipment. I a l s o wish to thank the N a t i o n a l Research C o u n c i l of Canada f o r the f i n a n c i a l a s s i s t a n c e r e c e i v e d , and the Department of Chemical Engineering of II.:i.C. f o r a d d i t i o n a l support. INTRODUCTION Over the past f i f t y y e a r s , a great d e a l o f research has been concerned w i t h the t h i n p l a t e o r i f i c e meter. The c h a r a c t e r i s t i c s o f the c a l i b r a t i o n curves have been explored by many workers (5, 9, 10, 16, 17) over a very wide range o f Reynolds Numbers. H e r e a f t e r , Reynolds numbers based on i n s i d e pipe diameter w i l l be abbreviated Ren while those based on the o r i f i c e diameter w i l l be abbreviated Red. I t i s w e l l known that a t high Reynolds numbers, which i n t h i s study means Reynolds numbers based e i t h e r on pipe diameter o r o r i f i c e diameter gr e a t e r than 10,000, the c o e f f i c i e n t of d i s - charge i s very n e a r l y independent of both the Reynolds number and the d i a - meter r a t i o Beta. However, at a low Reynolds number (Rep or Re^ l e s s than 10,000), the c o e f f i c i e n t of discharge appears to be a f u n c t i o n o f Rep or Re^, Beta and a "shape f a c t o r ( 6 ) . I t i s the e f f e c t of the shape f a c t o r on the c o e f f i c i e n t of discharge i n the low Reynolds number range which i s the primary concern o f t h i s study. A review by Iversen (6) i n 195li attempted t o standardize discharge c o e f f i c i e n t s over t h i s range by compering the r e s u l t s of s i x t e e n invesb- i g a t o r s who c a l i b r a t e d o r i f i c e p l a t e s at. Reynolds numbers (Rep or Re^) between lj and £0,000. However, the two d i f f e r e n t Reynolds numbers used by d i f f e r e n t authors, and the v a r i a b i l i t y of pressure tap l o c a t i o n and o r i f i c e p l a t e d e s i g n , made a d i r e c t comparison of most of these data u n e n l i g h t e n i n g . The l a r g e s t source of reasonably comparable data was that i n which the ex- perimenters used corner pressure taps. These data were r e c a l c u l a t e d u s i n g a c o n s i s t e n t discharge equation and Rep, and p l o t t e d f o r Reynolds numbers: from h to 10,000. U n f o r t u n a t e l y , d e v i a t i o n s from the mean curves increased from C.5% at Rep =» 10,000 to between 5> and 10;? a t Rep = h. Iversen concluded t l i a f ' t h e e s s e n t i a l requirement f o r the s p e c i f i c a t i o n of standard c o e f f i c i e n t s f o r o r i f i c e s i n the low Reynolds number range appears to be a complete 2 s p e c i f i c s t a n d a r d i z a t i o n of the o r i f i c e shape, not merely upper l i m i t s to the s i z e of t h r o a t width and o f p l a t e t h i c k n e s s " . The American S o c i e t y o f Mechanical Engineers has published (1, 2) standard discharge c o e f f i c i e n t data f o r commercial p i p e , 1.5 inches I.D. and l a r g e r , covering a range of Ren from 1,000 to 10,000,000. The pub- l i c a t i o n s i n c l u d e data f o r corner, f l a n g e , vena-contraeta and pipe pressure taps f o r Beta from 0.1 to 0.75* For such data to be a c c u r a t e , standard o r i f i c e meters must be b u i l t according to design s p e c i f i c a t i o n s a l s o found i n (1, 2). Tt i s of i n t e r e s t to o r i f i c e meter users to f u l l y understand the i m p l i c a t i o n s o f u s i n g both standard c a l i b r a t i o n data and standard design c r i t e r i a a t low Reynolds numbers. Th e i r use i m p l i e s t h a t v a r i a t i o n o f o r i f i c e meter shape w i t h i n the upper and lower l i m i t s allowed by the design has no measurable e f f e c t on the discharge c o e f f i c i e n t . This assumption has been amply . j u s t i f i e d f o r Reynolds numbers greater than 10,000 (5, 6, '3, 9, l h ) . However, f o r Reynolds numbers sm a l l e r than 10,000, evidence of an e f f e c t of geometry on the c o e f f i c i e n t of discharge has been shown (10, 16, l l ) . Ambrosius and Spink (10) reported discharge c o e f f i c i e n t data f o r Re d from h0 to 10,000 and Beta below 0.75, u s i n g flange pressure t a p s . The o r i f i c e p l a t e s were of standard A.S.K.E. design, w i t h a v a r i e t y of o r i f i c e t h r o a t lengths and p l a t e t h i c k n e s s e s , and were i n s t a l l e d i n 2 - i n c h , 3 - in c h and U - in c h nominal T.D. commercial p i p e . C o e f f i c i e n t s of d i s - charge when compared a t equal Betas f o r the three pipe s i z e s , d i d not correspond. This may be seen f o r the 2 - inc h and 3 - in c h pipes i n F i g . l, taken from the o r i g i n a l paper. Figure l j CALIBRATION RESULTS - AMBROSIUS AND SPINK (lO) 2 - inch and 3 - inch pipe Each pipe size appears to give a separate set of calibration curves 0 The authors suggested that the lack of geometric similarity due to the use of commercial pipe, the variation i n or i f i c e shapes and the use of flange taps caused the calibration curves to vary appreciably with pipe diameter for any given Beta 0 A more specific geometry effect was observed by Thrasher and Binder ( 1 6 ) , who studied the effect of orifice throat length on the coefficient of discharge using Betas of 0 „ 2 , 0 o 5 " and 0 o 7 and a Re d range of 2 , 8 0 0 - 8 0 , 0 0 0 o Their work indicated that i f the orifice throat length was kept smaller than l/Uo of the inside pipe diameter, no effect oFthe pipe diameter would be observed,. Also, discharge coefficients increased with or i f i c e throat lengths, the greatest increase occurring at the largest Beta and the smallest Reynolds number. The preceding generalizations were based on graphs obtained from the original paper and recorded i n F i g . 2 „ Galloway (Xlt) designed and b u i l t two orifice meters i n accordance with the design recomnendations contained in ( 1 ) , for use i n la$ and 2 - inch nominal I.D. copper water pipe. A l l dimension ratios between the two meters were approximately equal, except for the plate thickness to inside pipe diameter r a t i o . In calibrating these two plates, Galloway found that the two curves of discharge coefficient as a function of Rerj were coincident over a range of Ren from 8 0 0 to 3 0 , 0 0 0 . Below 8 0 0 , however, two separate curves were observed, with consistent differences in discharge coefficient between the two plates of 2-3%° The pertinent part of Galloway's data, obtained from his PhJD. thesis, is recorded i n F i g e 3 » Galloway concluded that the two curves resulted from the geometric dissimilarity of these two or i f i c e plates« The present investigation was conceived as an attempt to extend the general usefulness of standard orifice plates to Ren of 1 0 0 , and to gain 5 A 3«0O2Cf • 9»00i0" 0 S*Q003# t •ft (ft * al • 10 Jt * *• • * t • • * o> > • I • ^5 35 4 <5 5 53 6 6.5 7 REYNOLD'S N'JMBER-Nnio'3 C TH. RN for platea w i th b«U rai l* af 0620 u , I »- Z UJ . • 0 c 06K) g 0 6 0 0 B « • • • D g • • • Ii * * • * * » • * m «0 «• ; - o S «0060" « S •OWO^i aS •0 020 , | • S '0010' o S •0003''' ; t 1 - 3.5 0.620 C aeo 45 Q600 z in o o o cc t 5 if) o REYNOLD'S NUMBER-NxlO' 4 ' C TL RN far plate, with b.U rati* . f " J • • • 0 9 • 0 0 * 0 A i a X f -li—* *4 IA «* a - • S - 0 . 0 6 0 0 ; « 5 - Q O 4 0 " A 9 - 0 . 0 2 0 * •V S - 0 . 0 1 0 ' a S r O O O S ' 4 **• • ft* •fl m t #• 0.630 0 6 2 0 45 35 6 6 5 7 73 8 0 5 9 0610 z U J U l o o UJ cc < X 8 o REYNOLO'S NUMBER-NxlO"4 C Ta. UN for platea with W U rati* . f »,T Figure 2: CALIBRATION RESULTS - THRASHER AND BINDER (16) 1 - i n c h pipe For Reynold's read Reynolds Figure 3: CALIBRATION RESULTS - GALLOWAY (lU) 1.5 and 2 - i n c h pipe 7 some understanding of the effect of geometry on the coefficient of discharge at low Reynolds numbers. This was accomplished by designing and calibrating standard A.S.M.E. or i f i c e plates arid observing the effect on the discharge coefficient due to geometry differences. These differences could then be eliminated between ori f i c e plates i f they were built with exacting geometrical similarity. / 8 EXPERIMENTAL l I Apparatus See F i g . k a) General The purpose of the experimental apparatus was to circulate water or a solution of polyethylene-glycol and water (known hereafter as PEG), at a cpnstant hydrostatic head, and constant temperature, through a test section. The solution was then returned to a supply tank for recycle. The apparatus consists essentially of three flow loops connected i n par a l l e l . Loop 1 includes the primary centrifugal pump and the heat ex- changer » A globe valve, situated at position 11 in Fig. Ii, controls to a major degree the pump discharge pressure, which i n turn, controls the rate at which f l u i d i s pumped into the constant head tanko Loop 2 returns over- flow f l u i d from the constant head tank to the main supply tank by means of a small gear pump and an overflow tank. Loop 3 supplies f l u i d to the test section and the weighing station (see F i g . U), flow being controlled by valve 21. At the completion of a run, f l u i d collected i n the weighing tank i s pumped to the main supply tank. b) Pumps A Peerless, Model B centrifugal pump supplied the primary motive power for the flow loops. Its design capacity was 150 U.S. gallons per minute against a 70 foot head. It was run by a 7 l/2 H.P. 3-phase constant speed A.C. electric motor. A second centrifugal pump, Leraco Model FL 1 l/k> emptied the weighing tank after each experimental run. It was driven by a 1/2 H.P. single phase A.C. e l e c t r i c motor,, A small gear pump, a Worthington Model 11F169B, emptied the overflow tank. This pump, which was powered by a l/k H.P. single phase A.C. elect r i c 9 FIGURE li: SCHEMATIC DRAWING OF APPARATUS Key to Figure U . (1) Multi-plate flow straightener 1 - inch line (2) Multi-plate flow straightener 2 - inch line (3) Multi-plate flow straightener 1.5 - inch line (U) Control valve 1 - inch line (5) Control valve 2 - inch line (6) Control valve, 1.5 - inch line (7) Orifice assembly 1 - inch line (8) Orifice assembly 2 - inch line (9) Orifice assembly 1.5 inch line (10) Constant head tank (11) Control valve i n heat exchanger loop (12) Heat exchanger (13) Primary pump 1 (lli) Overflow tank (15) Secondary pump to empty overflow tank (16) Check valve (17) Supply tank - 100 Imperial gallons (18) Secondary pump to empty weighing tank (19) Beam balance scales (20) Weighing tank (21) Control valve (22) Thermocouple 5 (23) Thermocouple U on the heat exchanger loop and thermocouple 6 on the control board s 11 motor, ran continuously. c) Heat Exchanger Temperature control was provided by c i r c u l a t i n g cooling water through a single-pass she11-and-tube heat exchanger mounted above the primary pump ou t l e t . d) Tankageo A 100 Imperial gallon glass-lined supply tank, a 50 U.S. gallon aluminum constant head tank, a 50 U.S. gallon aluminum overflow tank and a 50 U.S. gallon s t e e l weighing b a r r e l were used i n the experimental apparatus 0 The s t e e l b a r r e l was tygon-coated inside p r i o r to use, to ensure a non- corrodatle surfaces. The other tanks were chemically i n e r t to the experimental fluid*. e) Piping Both 2-inch and 3-inch nominal diameter Type L copper water pipe was used throughout the main flow loops of the apparatus. The test section, which w i l l be described i n greater d e t a i l subsequently, contained 1 - inch, 1 1/2 - inch and 2 - inch Type L copper water pipe. A l l j o i n t s were soldered^ A glass window, i n s t a l l e d by a previous worker ( l U ) , ensured that no undes- ir a b l e entrained a i r passed through the test section during a run. Venting was allowed for at the top of the heat exchanger loop, and i n each o r i f i c e flange i n the t e s t section. f) Design of O r i f i c e Plates Seventeen o r i f i c e plates were designed and b u i l t to carry out the ex- perimental program. Design c r i t e r i a f o r the Standard, Sharp and Special plates can be found i n " F l u i d Meters" ( l ) , and i n "Flow Measurement, Power Test Code" (2). This information i s summarized i n F i g . 5 along with design information f o r the geometrically s i m i l a r (abbreviated G.S.) o r i f i c e meter series and the s l i t width, t s , for the corner pressure t a p s D S p e c i f i c 12 D d '45' STANDARD / \ SHARP A-S-M-E- — FLUID METERS t2 t2 < D/30, (D-d)/8, d/8 If t2 > D/30, (D-d)/8, d/8, Downstream Edge Is Bevelled At A 45° Angle Until t, £ D/30, (D-d)/8, d/8 45' b SPECIAL A-S-M-E- POWER TEST CODE For D < 3 OOID< t, < 0 02D t2 = 3/3 2" ± 1/32" 45 G S GEOMETRICALLY SIMILAR t, = 1/ I 6 D t, » I/32D / / / / / / CORNER PRESSURE TAPS U = 0 02 D FIGURE 5: SUMMARY OF ORIFICE PLATE DESIGN CRITERIA dimensions f o r each o r i f i c e p l a t e are contained i n Tables 1 and 2. S i x p l a t e s , three each o f the "Standard" and "Sharp" t y p e s , were constructed of l/8 - i n c h brass p l a t e . They were designed w i t h reference t o (1), the more important geometric s p e c i f i c a t i o n s o f which are contained i n F i g . 5 Two f u r t h e r p l a t e s , S p e c i a l 15 and S p e c i a l 30 were designed w i t h reference t o (2). l/8 - i n c h brass p l a t e was ag a i n used; F i g . 5 (b) i s p e c i f i e s t h e i r geometry. The f i n a l nine p l a t e s , the "G.S" s e r i e s , were machined from 2 3A inch brass bar st o c k . Design c r i t e r i a were based on the requirements o f reference 1 and geometric s i m i l a r i t y , as i l l u s t r a t e d by F i g . 5 ( c ) . Pressure drop was measured i n the o r i f i c e flange by corner taps. A schematic drawing of t h e i r design i s shown i n F i g . 5(d). TABLE 1 DIMENSIONS OF G. S. ORIFICE SERIES AND ASSOCIATED EQUIPMENT Orifice Type G. S. Beta " 0.2 G. S. Beta 0 0.1* G. S. Beta = 0.6 Inside diameter of pipe D, i n . Orifice diameter d, i n . Beta d/D 1.0232 1.0232 1.0232 1.5058 1.5058 1.5058 1.9851 1.9851 1.9851 0.2032 8.1*079 0.6131* 0.3012 0,6027 0.9011 0.3969 0.79UU 1.1912 0.198 0.399 0.599 0.200 0.399 0.598 ' 0.200 0.1*00 0.600 Orifice throat length t i , i n . Design throat length (1/32)D i n . Ratio ti/TJ 0.0339 0.0320 0.03U2 0.0300 0.0320 0.0293 0.0339 0.0320 O.033I 0.01*72 .0.01*71 0.031U 0,01*39 0,01*71 0.0292 0.01*71 0.01*71 0.0339 0.0586 0.0620 0.0295 0,0595 0,0670 0.0299 O.O602 0.0620 0,0303 Orifice plate thickness t2, i n Design plate thickness (1A6)D i n . . Ratio t2/D 0.061*1* 0.061*0 0.0630 0.061*1* 0.061*0 O.O63O 0.061*1* 0.061*0 0.0630 0.0932 0.091*1 0.0619 0.0933 0.091A 0.0619 0.0939 0.091*1 0.0619 0.1257 0.121*0 0.0621* 0.1253 0.121*0 0.0633 0.1272 0.121*0 0.061*0 Width of s l i t , t s , i n . Design width of s l i t 0.02D i n . Ratio ts/T) 0.0201*5 0.0201*5 0,0201*!: 0,0301 0.0301 0.0301 0.0397 0.0397 0.0397 0.0201* 0.020 0.0201* 0.020 0.0201* 0.020 0>0301 0.020 0,0301 0.020 0,0301 0.020 C 9,0397 0.020 0.0397 0,020 0,0397 0.020 Entrance length, L^, i n . Ratio Li/D 85.13 83.2 85.13 83.2 85.13 83.2 88.56 58.8 38.56 $ . 8 58.56 8 . 8 39.87 U5.3 89.87 1*5.3 89.87 1*5.3 E x i t length, L2, i n . Ratio L2/D 39.56 32.96 39.56 32.96 39.56 32.96 li8.75 31.6 *8.75 31.6 0 .75 (1.6 1*8.75 29.6 1*8.75 2l*.6 U8.75 21*.6 TABLE 2 DIMENSIONS OF STANDARD, SHARP AND SPECIAL ORIFICE SERIES AND ASSOCIATED EQUIPMENT Orifice Type Standard Beta = o.U Sharp Beta ' => o.H Special Beta O . U Inside diameter of pipe D, in. Orifice diameter d, in. Beta d/D 1 . 0 2 3 2 0 . U 0 9 o.Uoo l o 5 0 5 8 0.616 0.U03 1 . 9 8 5 1 0 . 7 9 5 o.Uoo L 0 2 3 2 O.Jill OoUOl 1 . 5 0 5 8 0 . 6 1 3 O0I1O7 1»9851 0 . 7 9 3 0 . U 0 2 1 . 5 0 5 8 0 o 6 0 5 0 . U 0 2 1 . 5 0 5 8 0 . 6 0 3 0 . U 0 1 Orifice throat length t i , in. Ratio ti/b Recommended Maximum, in. Recommended Minimum, in. 0 . 0 2 6 8 0 . 0 2 6 2 0 o 0 3 U 2 0 . 0 U 8 I 0 . 0 3 2 0 0 . 0 5 0 2 0 . 0 5 8 7 0 . 0 2 9 6 O 0 O 6 6 2 0.0 OoO 0.0 0 . 0 0.0 OoO OoO 0.0 0.0 0 . 0 1 6 6 0 . 0 1 1 0 0 . 0 2 9 9 O0O230 0 . 0 3 0 1 0 o 0 l 5 l Orifice plate thickness t 2 , in. Design plate thickness, in. Ratio t2/D 0 . 1 2 1 0 . 1 2 5 0.119 0 . 1 2 5 0 . 1 2 5 0 . 0 7 9 5 0 . 1 2 U 0 . 1 2 5 0 o 0 6 1 9 0 . 1 2 U 0 . 1 2 5 0 . 1 2 1 0 . 1 2 0 0 . 1 2 5 0 . 0 7 9 8 0 . 1 2 7 0 . 1 2 5 0 . 0 6 U 5 0 . 1 2 U 0 0 . 1 2 5 0 0 0 8 2 3 0 . 1 2 2 0 . 1 2 5 O0O810 Width of sl i t tg, in. Design width of s l i t , in. 0.02D in. Ratio ts/D 0 . 0 2 0 L ( 0 . 0 2 0 U 0 . 0 2 0 . 0 3 0 1 0 . 0 3 0 1 0 . 0 2 0 . 0 3 9 7 0 . 0 3 9 7 0 . 0 2 0 . 0 2 0 U 0 . 0 2 0 U 0 . 0 2 0 . 0 3 0 1 0 . 0 3 0 1 0 . 0 2 0 . 0 3 9 7 0 , . 0 3 9 7 0 . 0 2 0 . 0 3 0 1 0 . . 0 3 0 1 0.02 0 . 0 3 0 1 0 . 0 3 0 1 0.02 Entrance length, L]_, in. 8 8 . 5 6 88 .56 8 8 . 5 6 8 8 . 5 6 38 .56 8 8 . 5 6 880 5 6 88 .56 Ratio Li/D 5 8 . 8 5 8 . 8 5 8 . 8 • 5 8 . 8 5 8 . 8 5 8 . 8 5808 5 8 . 8 Exit Length, I/?, in 1 . 8 . 7 5 U 8 . 7 5 U 8 . 7 5 U 8 . 7 5 1.8.75 U 8 . 7 5 U 8 o 7 5 U 8 . 7 5 Ratio 1 /̂4) 3 1 . 6 3106 3106 31.6 3106 31.6 3 1 . 6 31.6 16 g) Test Section See Fig, 6 The test section consists of three parallel horizontal test lines made from 1 - inch, 1 l/2 - inch and 2 - inch copper water pipe. Each of the test lines contained the following components$ (1) Globe valve (2) Multi-plate flow straightener (3) Calming section (U) Orifice flange assembly (5) Exit section (6) Thermocouple well In working out the design for the test section, there was some question as to the positioning of the multiplate flow straighteners, Sprenkle (7) recommended ins t a l l i n g them approximately eight pipe diameters upstream of the o r i f i c e plates for turbulent flow. Galloway (Hi) concluded that his discharge coefficient calibration curves had the least scatter at 8 l/2 diameters upstreamo Unfortunately, due to technical d i f f i c u l t i e s , i t was v i r t u a l l y impossible to build the flow straighteners geometrically similar to each other. Hence, there was no guarantee that the velocity profiles produced at the orifice plates would be identical for different sized pipes. Therefore, i t was decided to i n s t a l l the flow straighteners immediately following the globe valves i n each l i n e . It was reasoned that the flow profiles would then, in a l l probability, be f u l l y developed in traversing the calming section. Empirically, the situation i s as follows: For laminar flow, assuming a f l a t velocity profile at the entrance, the following equation (8, 13) predicts the approximate length of straight pipe required to produce a f u l l y developed velocity profile Xt/b - 0,05 Bej) ( I N 17 FIGURE 6i • SCHEMATIC DRAWING OF THE TEST SECTION Key to Figure 6. (1) Control valve. (2) Multi-plate flow straightener. (3) Orifice flange vents. (k) Pressure line to manometers. (5) Orifice assemblyo (6) Thermocouple for 1 - inch l i n e . (7) Thermocouple for 2 - inch l i n e . (8) Thermocouple for 1 l /2 - inch l i n e . 1 9 In turbulent flow, an entrance length of from I4O to 5 0 pipe diameters i s considered sufficient to produce a f u l l y developed- turbulent velocity- profile ( 3 ) o A comparison of the theoretical requirements with the actual entrance lengths i s supplied i n Table 3 . TABLE 3 Comparison of Actual and Theoretically Maximum Entry Lengths for Laminar and Turbulent Flows Nominal Pipe X - I t X Size in„ D D D Actual eq. 1 turbulent Ren - 2 1 0 0 Re D > 2 1 0 0 1 " 8 3 o 2 1 0 5 U 0 - 5 0 - 105 IiO - SO 2 • W o 3 • 105 ho - 5 0 ... Obviously, for Reynolds numbers greater than 2 1 0 0 , assuming turbulent flow, there i s sufficient entrance length available. However, for Reynolds numbers close to but less than 2 1 0 0 , not even the one - inch pipe provides sufficient entrance length for a complete profile development. According to Sprenkle (7), however, the multi-plate flow straights ner produces a well rounded velocity profile immediately downstream. I t i s therefore reasonable to assume that this rounded rather than f l a t starting profile should radically shorten the entrance length necessary for a f u l l y developed velocity p r o f i l e . A minimum of 2$ pipe diameters was recommended by the A.S.M.E. report on Fluid Meters (2), for the exit section. A l l ttoee flow lines satisfied this requirement. 20 Working drawings o f the m u l t i - p l a t e flow s t r a i g h t e n e r and the o r i f i c e f lange assembly f o r the 1 - i n c h t e s t l i n e may be found r e s p e c t i v e l y i n F i g s . 7 and 8. Drawings f o r the 1 . 5 and 2 - i n c h t e s t l i n e s are contained i n reference ( l l i ) . h) Pressure Measurement D i f f e r e n t i a l pressures were measured usi n g one or '>iore of f o u r U-tube manometers. A d e s c r i p t i o n c f each f o l l o w s i n Table h. TABLE h 1 .- DESCRIPTION OF THE HAKOl-IB'fSPS No. Type L i q u i d Length ' • I I'-tube u p r i r h t iie r c u r y 7? cm. 2 • U-tube i n v e r t e d A i r 150 cm. 3 U-tube u o r i p h t i • c c i u 52 cm. • h U-tube i n v e r t e d C6H6 150 cm. The nanometers wpre connected to the o r i f i c e flanges by 3/°' - i n c h O.D. copper t u b i n g . Pressure head d i f f e r e n c e s were measured by means of a cathetometer t o 0 . 0 0 5 inches f o r the f i r s t 130 runs. For the remaining runs, d i f f e r e n t i a l heads wfjre measured t o ' 0 . 0 5 cm. without s p e c i a l _ viewing equipment. i ) Temperature Measurement - See F i g . h and F i g . 5. Temperature was measured u s i n g s i x copper-constantan thermocouples and three research q u a l i t y thermometers. The s i x thermocouples and thermometer #1 were c a l i b r a t e d a g a i n s t Platinum Resistance Thermometer #l693l!i. The' o t h e r two thermometers were c a l i b r a t e d using thermometer i'l as a standard. A Leeds and Northrup // 8662 p o r t a b l e P r e c i s i o n Potentiometer, w i t h e x t e r n a l Standard Weston C e l l ' % l l 6 6 k i j , was usedtipto FASTEN PLATES TOGETHER WITH 4 - 1/16" BRASS OR COPPER RODS SOLDER RODS TO PLATES SOFT SOLDER 1/8" COPPER WATER PIPE RUBBER GASKET DRILL 37 HOLES 0 120 DIAMETER ON 17/128" SQUARE PITCH USE # 31 ASA TWIST DRILL BEVEL INLET SIDE OF EACH HOLE AS SHOWN 5/16 DRILL 6 HOLES EQUALLY SPACED 1/16" DRILL 4 HOLES I.D. PIPE 1.025 IN. CROSS-SECTIONAL AREA 0.8252 IN.2 FREE AREA OF PLATE 37n/4(.l20) 2 = 0.4184 IN2 RATIO FREE AREA TO PIPE AREA = .4184/.8252 . = .5070 LOCATING PLATE SCALE: - FULL. MATERIAL BRASS I REQUIRED PLATE SCALE : - FULL. MATERIAL BRASS • 2 REQUIRED SECTION THROUGH HOLE S C A L E : - NONE ro M FIGUR'S 7: l" M U L T I P L A T E F L O W S T R A I G H T E N E R A S S E M B L Y 1/4"- 1 -I 1/4" - SECTION A - B J _ i _ — t, —1 M- SECTION B-B r ORIFICE PLATE SCALE:- Fill I MATERIAL:- -BRASS SECTION A-A FIGURE 8: l" ORIFICE ASSEMBLY SCALE:- FULL MATERIAL :- BRASS I REQUIRED DRILL AND TAP 6 HOLES FOR 1/4X2 CAP SCREWS DRILL AND TAP 1/4 NPT IN) 23 measure thermocouple E.M.F. This was the same equipment used originally to calibrate the temperature measuring equipmento Thermocouples 1, 2 and 3 indicated f l u i d temperatures at the orifice meters o Thermocouples k and 5 measured, respectively, the heat exchanger loop and the upstream header temperatures. Thermocouple # 6 and thermometer # 1 measured the temperature at the control boardo The remaining thermometers, § 2 and #3, were used res- pectively i n the density and viscosity measurements of the f l u i d samples removed during a run 0 Temperature control was maintained i n the flow loop by two methods. One method was to compare the E.M.F. of thermocouple 6 with the E.M.F. of one of thermocouples 1, 2 or 3, depending on which test line was being used, on a Scalarap galvanometer. Temperature could be maintained within 0o5°F» using this method, as long as room temperature fluctuations remained small 0 However, due to large temperature variations during some days i n the summer, the above method could not always be used« In this case, the cooling water rate was set at a reasonable level and the fl u i d temperature was allowed to vary slowly with room temperature. This method also gave good results, as the temperature change for any one run was always small. A non-weighted average of from 3 to 7 E.M.F. readings over a run was accept- ed as the correct temperature measurement by both methods. j) Weighing. A platform scale, with a capacity of $00 pounds, was used for a l l the calibration runs. This scale was la s t calibrated by Galloway (lk) i n 1963, and found to be accurate to i 2 oz. over i t s entire range. 2h I I Viscosity and Density Measurements The f i r s t 130 runs were carried out using tap water as the test f l u i d . Densities and viscosities were obtained from reference (18), assuming the physical properties of tap water were very nearly those of d i s t i l l e d water,, For the remaining runs, one-litre samples of the test f l u i d were removed from the experimental apparatus at the beginning and at the end of each day's experimental runs. Approximately l£0 ml. was set aside for viscosity measurements. The remainder was used in the density determination. a) Viscosity The kinematic viscosity measurements of the samples were carried out by means of two Cannon - Fenske precision viscometers, C-8 and C-3. Normally, four duplicate readings were taken for each sample' over a temp- erature range of 70 - 80°Fo To obtain the viscosity of the f l u i d for a specific experimental run, the following procedure was adhered to. (1) , The viscosity.was plotted as a function of temperature for each of the two samples on arithmetic graph paper. (2) Two lines which appeared to best f i t the data were drawn through the two sets of points. (3) This graph was entered with the average temperature recorded at the orif i c e for the specified run and the run number. (U) A double interpolation vjas used to obtain the correct viscosity based on the run number and the average temperature. b) Density ! A Cenco #167!?2-C precision hydrometer was used to measure the density of the PEG solution. Its accuracy was checked against a Westphal Balance and found to be correct within 0.3$. The density measurements were taken and plotted i n the same manner as described previously for viscosity. .1 However, f l u i d d e n s i t y a t the o r i f i c e (/̂  ) and i n the manometer (f^0) were obtained i n s l i g h t l y d i f f e r e n t ways. Density i n the flow loop g r a d u a l l y increased during the day due to water evapo r a t i o n . Hence |/0)was obtained by i n t e r p o l a t i o n . However, evaporation was not p o s s i b l e i n the manometers. Therefore the d e n s i t i e s o f the t e s t f l u i d i n the manometer were obtained u s i n g only the morning sample. The manometers were flushed out and r e f i l l e d each working day. I t should be noted t h a t i n the given open system, c o n c e n t r a t i o n of the experimental s o l u t i o n was always t a k i n g place due to the evaporation of water. Thus, both the v i s c o s i t y and d e n s i t y of the c i r c u l a t i n g t e s t f l u i d i ncreased d uring a day's runs. Spot checks i n d i c a t e d the increase to be net mere than 0.7% f o r v i s c o s i t y and 0.1;? f o r the d e n s i t y . I l l Experimental Procedure Jee F i g . h. Ths f o l l o w i n g procedure was c a r r i e d out on s t a r t - u p . The supply tank was i n i t i a l l y f i l l e d w i t h approximately 100 Imperial g a l l o n s of e i t h e r water or PEG. This a u t o m a t i c a l l y primed the Peerless-; pump. A l l vents and valves i n the t e s t s e c t i o n were opened. A f t e r s w i t c h i n g on the primary pump, valve 21 was f u l l y opened and valve H was p a r t i a l l y c l o s e d . The heat exchanger was adjusted as described p r e v i o u s l y . Test f l u i d was pumped i n t o the constant head tank, and flowed out through both the test s e c t i o n and the overflow l i n e i n t o the weighing tank and overflow tank, r e s p e c t i v e l y . These tanks were emptied as required i n t o the supply tank. U s u a l l y , one- h a l f hour was re q u i r e d to remove most of the entrained a i r from the system. This was considered to be almost complete when a i r was no longer i n evidence upon venting the t e s t s e c t i o n , the primary pump was then shut down and any remaining a i r allowed to coalesce f o r approximately 1$ - 30 minutes. The pr.mp was then s t a r t e d a^ain and the l i n e s once more vented. T ' s u a l l y , 26 a small additional amount of air bubbled from the test section vents. The system was then deemed ready for an experimental run. The steps taken to complete an experimental run were as follows. (1) Valve 11 was adjusted to supply adequate liquid to maintain a constant hydraulic head during the experimental run. (2) The test section was checked to ensure that liquid was flowing through the correct test line. (3) Flow into the weighing tank was adjusted by valve 21. . (U) The platform scale was set somewhat in excess of the tare weight, and a stopwatch was activated when the lever arm passed through the zero point. The same procedure was used at the end of a run. (5) The manometers, thermocouples and thermometer were read as often as practicable during a run. (6) The weighing tank contents were returned to the supply tank at the completion of a run. THEORY D e r i v a t i o n o f the O r i f i c e P l a t e Meter Equation Assumption ft =• constant ru 1 o T 0 OL_l F i g . 9 Schematic Drawing of an O r i f i c e P l a t e f o r the Meter Equation D e r i v a t i o n Mechanical Energy 3alance f o r Steady S t a t e : _2 IH 2<* j Rc P l = 2 TJ2 P' 2<Azgc P? Iwf I b f P1 V _2 Uz 2o<2gc Re-arranging equation 2, gc - Iwf Let Cv ( ? x - ?z) P' P* -Pi - Iwf Now 6 • a 17 d ' TT A l 28 -4^ by d e f i n i t i o n From equation 6, 2 _2 and from equation 7, _2 _2 U, - U 0 (7) ( 8 ) ( 9 ) Combining equations 3> U, 8 and 9, - x3 -1 i 1/2 2 g c ( P l - P 2 ) (10) c*c", and c<2 a r e functions of Reynolds number i the effects of which are included i n C v , a modified c o e f f i c i e n t of v e l o c i t y . Then 1 2 g c ( P l - P 2 ) 2 1/ />' Now, by re-arranging equation 11^ 2 4 1 - C c £ I |2g c ( P l - P2) ft' (11) (12) 2 9 or 'c That i s , Cv C c jl- ,3* J 2 g c ( P l - P 2 ) / ^ / (13) U c " C 2 g c (P 1-P 2) (lh) where Mow W Define - M o / - J 2 g c / / ( P I - P S ) ( 1 6 ) K - C/ J/ ( 1 7 ) Then W - K A Q J 2 g c f> (Pj-Pg) ( l 8 ) Equations 16 and 18 are the same as equations 98 and 99 respectively i n Fluid Meters ( l ) . To obtain working equations the following substitutions were made. For a two-liquid vertical manometer, P i - P2 i s the pressure drop across the orifice plate i n lb F / f t . ^ 30 Then P l - ?2 or 1 U L x ( 2 . 5 U ) 2 H (I D n I ) PX - P 2 - 2.0U818 *{\ft0-pc |) (19) where H - difference in levels of the orifice manometer, cm. A Q • cross-sectional area of o r i f i c e , f t . - TT / d v2 -0.005U52 d 2 ' , f t . 2 d • diameter of o r i f i c e , inches K • discharge coefficient, velocity of approach factor included, dimensionless w - mass flow rate, lb ̂ /sec. D - diameter of test l i n e , inches f> - density of f l u i d at o r i f i c e , l b yi/ft. - 62.U287 /O p - density of f l u i d at o r i f i c e , gm./ciru^ n m density of manometer f l u i d , gm./cm.̂ 31 - density of test fluid in manometer, gm./cm.̂ - discharge coefficient, velocity of approach factor not included, dimensionless. The substitution of the above conversions into equation (19) gives W • K A 0 J 2 (32ol7UO) (62.U287 jo ) (2.0H818 H ( | £ , - / g |) Re-arranging equation 2 0 , K - 183.3U6 w d 2 J8227O8708 H ^ d ^ O - / g |) and from equation 17, C - K \l - Q H The Reynolds number based in pipe diameter is given by, ReD " U W TT D U Q where u 0 - absolute viscosity 32 \ ) 0 - kinematic viscosity, centistokes The working equation, based on the experimental units, then becomes Re D - h w 1 2 H88.16 or Ren - 2 2 , 7 3 7 • W (2^) The corresponding orifice Reynolds number is Red - 2 2 , 7 3 7 w ( 2 5 ) A l l calculations for C, K, ReD and Red were carried out in an I.B.M. 70U0 electronic computer. ' 33 RESULTS AND DISCUSSION Discharge coefficients, both with and without the velocity of approach factor included, and Reynolds number based on both pipe and orifice diameter, were calculated for each run by an I.B.M. TOkO Computer and may be found in Appendix H o The original data, which were used in the above calculations, may be found in Appendix IIIo Discharge coefficient K was plotted as a function of Reynolds number, Rey). The results in this form, were easily compared with standard A.S.M.E. orifice plate calibration data available in references (1) and (2), as well as with Galloway's (lk) data,, Figures 10, 11 and 12 compare discharge coefficient calibration curves for the minimum and approximately maximum values of tx allowed by the A.S.M.E. - Fluid Meters (1) orifice plate design, for each of the three pipe diameters studied,, It is obvious that a difference in calibration curves of from 2 to 6% exists between each of the two plates at a given pipe dia- meter, Rerj between 100 and 1000. The calibration curves of the three Sharp and the three Standard orifice plates are compared in Fig. 13. The curves for the three Sharp plates are nearly co-incident. Since these three plates are also very nearly geometrically similar, except for the t2/D ratio, one can conclude that the effect of the t2>fo ratio on the calibration curves is small. On the other hand, the Standard plates are dissimilar in both the tiA> a n d t^^) ratios. Since the spread of the three Standard calibration curves is about the same as the spread for the Sharp plates, i t appears that the t^/fo ratio does not affect the discharge coefficient to a significantly larger degree than does the t2/D ratio. However, scrutiny of Table 2 indicates a correlation between the t\/D ratio and the three Standard calibration curves. For instance, considering the three Standard orifice i I A 1 o ° 1 i i i i i . 7 2 . 7 1 . 7 0 . 6 9 . 6 8 . 6 7 . 6 6 . 6 5 . 6 4 . 6 3 . 6 2 o oo o o o o o 8 d Q o o o o o «58 O R I F I C E S I Z E B E T A S Y M B O L S T A N D A R D 1 0 " 0 - 4 o S H A R P ' 1 0 " 0 - 4 Re D J _ J L © o 4 6 8 10 2 4 6 8 10 2 4 6 8 10 FIGURE 10: ' CALIBRATION RESULTS - STANDARD AND SHARP ORIFICE PLATES 1-INCH TEST LINE . 7 2 .71 . 7 0 . 6 9 . 6 8 . 6 7 . 6 6 . 6 5 . 6 4 . 6 3 . 6 2 o i r i i rr~r 1 i i i O R I F I C E S I Z E B E T A S Y M B O L S T A N D A R D 1-5" 0 - 4 O, S H A R P 1-5" 0 - 4 - Q CD J I I I I J_ R e D j i i i i i i JL _l I I 1_L 4 6 8 10 2 4 6 8 10 2 4 6 8 10 FIGURE 11 - CALIBRATION RESULTS - STANDARD AND SHARP ORIFICE PIATES 1„5 INCH TEST LINE VA . 7 2 .71 . 7 0 6 9 . 6 8 . 6 7 . 6 6 . 6 5 . 6 4 . 6 3 . 6 2 J I l__L_L i r T T CD Q) Q> O R I F I C E S I Z E B E T A S Y M B O L S T A N D A R D 2 0 " 0 - 4 o S H A R P 2 0 " 0 - 4 o C D o o o 0 R e D o o J I I L © O O , w «©*t © © I I I l l l l 4 6 8 10 2 4 6 8 10 2 4 6 8 10 FIGURE 12: CALIBRATION RESULTS - STANDARD AND SHARP ORIFICE PLATES - 2„0 INCH TEST LINE CN 1 — I I I I I 4 6 8 IO2 2 4 6 8 10 3 2 4 6 8 1 0 ^ FIGURE 1 3 i CALIBRATION RESULTS - STANDARD AND SHARP ORIFICE PLATES 1 . 0 , 1.5 AND 2 . 0 INCH TEST LINES - J plates, the highest calibration curve in terras of K was obtained in the 1<>5 - inch test line. This corresponded to the highest t]_/TJ ratio of the three Standard plates. The 2 - inch and 1 - inch test lines gave corresponding results. There was no similar pattern for the t2A^ ratioo Therefore, there does in fact appear to be an effect of t̂ /D regardless of the effect of t2 / D . The results plotted on Fig. Hi represent calibration curves based on design recommendations of the A.S.M.E. - Power Test Code (2 ) . Special 15 and Special 30, the two orifice plates involved, have respectively the minimum and maximum values of t i recommended in (2). Both plates.were built for the 1.5 - inch test line only. It is interesting that even under the more rigorous specifications of reference (2) for tj_, geometry effects on the discharge coefficient, although smaller than those between the sharp and standard plates, are s t i l l observable. Figures 15, 16 and 17 contain the calibration curves of the nine plates designated G.S. The G.S. series includes diameter ratios of 0.2, 0.U and 0 o6. The three plates included in each diameter ratio were geometrically similar. Figures 15and 16 , with Betas of 0 o2 and 0 oU res- pectively, yielded single curves. Fig. 17, however, with a Beta of 0.6, had a much larger data spread. Since experimentally, accurate data were difficult to gather for the /2> <90l.'6.̂ pai&fees due to the small clocking time for the fixed throughput of fluid required to f i l l the weigh tank, and the relatively small manometer differentials, a larger spread in the data was to be expected0 A comparison of some of the results of this study for the 1»5 -inch pipe with data from Galloway's calibration curves, and with standard A.S.M.E. calibration data, is recorded in Fig. 18. For Re^ between 100 i r~~i—i i i i i 1 — i — i — I r 73 . 7 2 .71 . 7 0 . 6 9 . 6 8 . 6 7 . 6 6 . 6 5 . 6 4 . 6 3 i — r r ~ r O 8 °i 88 e ° 8 O O o 9. Re 9 ) i l i i i O R I F I C E S I Z E B E T A S Y M B O L S P E C I A L 15 1-5" 0-4 S P E C I A L 3 0 1-5" 0 - 4 - o _L J 1 I 1 I 6 8 10 FIGURE lk: 2 4 6 8 10 2 4 3ALIBRATI0N RESULTS - SPECIAL l£ AND SFECIAL 30 ORIFICE PLATES 8 10 U> NO a 7 2 * 7 1 o 7 0 , 6 8 , 6 7 6 6 3 6 5 , 6 4 0 6 3 „ 6 2 o i i i i O R I F I C E S I Z E B E T A . S Y M B O L G S I O " 0-2 W G S 1-5" 0-2 G S - 2 0 " 0-2 O Re, j i i i i J I L 10 4 6 8 10^ 2 4 6 8 1 0 ° 2 4 FIGURE 1$: CALIBRATION RESULTS - G . S . , BETA - 0.2, 1.0, 1.5 AND 2.0 INCH TEST LINES g" 1 I — T T i—i—r 3 © o 3 o s i r O R I F I C E S I Z E B E T A S Y M B O L G S I O " 0 - 4 G S - 1-5" 0 - 4 3 G S 2 0 " 0 4 O ReD 3, _L _i_ 4 6 8 10 2 4 6 8 10 2 4 6 8 10 FIGURE 16: C A L I B R A T I O N RESULTS - G . S . , BETA - O.U, 1.0, 1.5 AND 2.0 INCH TEST L I N E S 1 r i — i — i r . 8 5 . 8 4 . 8 3 . 8 2 . 8 1 . 8 0 . 7 9 . 7 8 . 7 7 . 7 6 . 7 5 L o O R I F I C E S I Z E B E T A S Y M B O L G S - 1 0 " 0 - 6 O G S 1 5 " 0 6 G S- 2 0 " 0 - 6 o 0 R e D J L o G _L J I I I 4 6 8 10 2 4 6 FIGURE 17: CALIBRATION RESULTS - G.S., BETA 8 10 2 4 6 8 0.6, 1.0, 1.5 AND 2.0 INCH TEST LINES 10 •p- ro . 7 2 . 7 1 . 7 0 \- . 6 9 . 6 8 . 6 7 . 6 6 . 6 5 . 6 4 1 . 6 3 . 6 2 U 3 1 I I V I O R I F I C E S Y M B O L S T A N D A R D S H A R P S P E C I A L 15 € S P E C I A L 3 C 3 G S 4 O G A L L O W A Y A S M E e S I Z E 1-5" B E T A 0 4 Re J I L J I I I I 6 8 10 2 4 6 8 1 0 2 4 FIGURE 18: CALIBRATION RESULTS - STANDARD, SHARP, G.S., GALLOWAY AND A.S.M.E, 8 10 and 1,000, a l l data f a l l between the Sharp and Standard calibration curves. Between Her> of 1,000 and 10,000, the same generalization applies with two exceptions. F i r s t l y , the curves which were separate and disti n c t at a Reynolds number of 1,000, gradually merged by Reynolds number of 10,000. Secondly, the A.S.M.E. standard calibration data curve plotted lower than the Sharp plate calibration cui've between Ren of 1,000 and 10,000. This difference appears to increase s l i g h t l y at lower Reynolds numbers, and might indicate a slight u n r e l i a b i l i t y of the standard A.S.M.E. discharge coefficients over this range. The apparent u n r e l i a b i l i t y of the standard A.S .M.E. data may be connected with the shape of the ori f i c e plates used i n the original study by Marchetti (15), who b u i l t his plates with a 30° bevel rather than a 1*5° bevel as was used i n this study. Both bevel angles are acceptable under A.S.M.E. standards (2). Considering the effect of other small geometry changes observed from the discharge coefficient data i n the o low Reynolds number region, i t seems possible that the 15 difference i n the angle of downstream bevel could cause the discharge coefficients given i n reference (1) for corner taps to be lower than those found i n both this study and Galloway's work. A.S.M.E. design c r i t e r i a allow a range of ori f i c e plate thickness of l/l6 - l/& inch and an o r i f i c e throat length, depending on the reference used, of either (i) t i between 0.01D and 0.02D (2) or ( i i ) less than design c r i t e r i a are available for pipe sizes greater than 3 inches. I t i s the implication of the design codes that variation of geometry within the limits specified should have no discernible effect on the discharge co- e f f i c i e n t . Results presented here have shown this implication to be (1) for inside pipe diameter up to 3 inches. Similar untenable, i n g e n e r a l , f o r pipe Reynolds numbers l e s s than 10,000. Thrasher (16) and Calloway (11;) have shown the e f f e c t of o r i f i c e geometry on c a l i b r a t i o n curves. Both suggested that more s p e c i f i c o r i f i c e p l a t e c r i t e r i a were needed. The G.S. s e r i e s was designed to s t a y w i t h i n the A.S.M.A. - F l u i d Meters ( l ) design standards w i t h i n the o v e r - r i d i n g c r i t e r i o n of geometric s i m i l a r i t y . The aim was to a r r i v e at design c r i t e r i a f o r o r i f i c e p l a t e s which could be used with confidence and without c a l i b r a t i o n as low as Rep of 100. The r e s u l t s i n d i c a t e 'that t h i s i s p o s s i b l e f o r p l a t e s designed s i m i l a r to the 0.3. s e r i e s w i t h the use of corner taps. That i s , f o r p l a t e s designed using the same geometrical shape as the G.S. s e r i e s , Beta w i l l be the only parameter. The preceding r e s u l t s i n d i c a t e a strong e f f e c t of o r i f i c e geometry, p r i m a r i l y o r i f i c e t h r o a t l e n g t h , on the c o e f f i c i e n t of discharge f o r pipe Reynolds numbers from 100 to 10,000. O r i f i c e . ' t h r e a t l e n g t h can a l s o be discussed w i t h re Terence to other workers i n the f i e l d . Iversen (6) p l o t t e d Johansen's ( 9 ) Sharp type and Tuve .and Sprenkle 1 s (£) Standard type o r i f i c e p l a t e r e s u l t s , along w i t h o t h e r s , f o r comparative purposes. C a r e f u l s c r u t i n y of the curves i n d i c a t e s that Johansen's p l a t e s have s l i g h t l y lower discharge c o e f f i c i e n t s f o r the same Reynolds number and 3eta. Thrasher (16) too observed a trend of increased discharge c o e f f i c i e n t w i t h t h r o a t l e n g t h , as was observed a l s o i n the present study. A more;extreme comparison was' c a r r i e d out by Grace and Lapple (17), whose c a l i b r a t i o n s of Sharp and Thick Standard (t]_ = d) p l a t e s f u r t h e r confirmed that, discharge c o e f f i c i e n t i n - creased w i t h t h r o a t l e n g t h . F u r t h e r l i g h t i s thrown on the present r e s u l t s by c o n s i d e r i n g the "Standard Short.Tube" discussed i n Perry For a Short Tube running f u l l , the discharge c o e f f i c i e n t i s about 0.82. However, when a short tube 1*6 i s running free, the value of the coefficient i s about 0.62. The l i q u i d i n a tube "running free" separates at the upstream sharp edge and does not touch the wallso A tube running f u l l , on the other hand, has l i t t l e or no separation upstream, and the whole vessel i s f i l l e d with f l u i d . Since there i s less contraction with a " f u l l " tube, the coefficient of discharge i s larger. Comparison of the data from the Sharp and Standard series shows a similar increase of discharge coefficient. The Sharp plates tend, to act like standard short tubes•"running free", whereas the Standard and Special plates act like tubes "running f u l l " . An explanation for this behaviour arises from speculation as to the exact point at which flow separation takes place. For a sharp plate, sep- aration can only occur at the knife edge. However, for the Standard and Special plates, separation i s possible at both the upstream and downstream ends of the orifice throat. It seems plausible that at low Reynolds numbers, separation would occur at the downstream edge, while higher Reynolds numbers would shift the point of separation to the upstream edge due to the increased f l u i d i n e r t i a . Hence, at the downstream pressure tap for a Sharp plate, contraction w i l l be equal to or greater than that allowed by a Standard or Special plate. Therefore discharge coefficients for Sharp plates should be less than (low Ren), or at the most equal to (high Ren) those obtained for o r i f i c e plates with f i n i t e throat length. The actual results conformed to this pattern. NOMENCLATURE U7 A • constant i n resistance thermometer equation, (°C . ) -1 Ao - orifice cross-sectional area, ft . 2 Al » upstream pipe inside cross-sectional area A2 « downstream pipe inside cross-sectional area Ap • pipe inside cross-sectional area, i n 0 2 B - constant i n resistance thermometer equation, (°C.)~2 Beta • ratio, d/D dimensionless C •» coefficient of discharge, velocity of approach term JJ_*J£L not included, dimensionless C c • coefficient of contraction, dimensionless C v • coefficient of velocity, dimensionless C v - coefficient of velocity including the effect of , and cX dimensionless d • orifice diameter, i n . D - pipe inside diameter, i n . g • local acceleration due to gravity, ft./sec.^ g c - gravitational constant, (lbM) (ft . y(lbj') (sec.)2 H • pressure drop across the o r i f i c e , cm. of liq u i d I.D. - inside diameter, i n . or f t . K • discharge coefficient, velocity of approach factor included Iwf - internal f r i c t i o n a l dissipation (lb.p-ft.)/lb Li » length of unobstructed pipe upstream of the o r i f i c e , i n . L2 • length of unobstructed pipe downstream of the o r i f i c e , i n . Pj. « pressure sensed by upstream pressure tap, lb.p/ft. P2 • pressure sensed by downstream.pressure tap, l b . p / f t . 2 U8 P l - ?2 • pressure drop across o r i f i c e l b . p - f t . P' l b . M PEG • s o l u t i o n of polyethylene g l y c o l (E9000) and water Re » Reynolds number f o r flow through c i r c u l a r passage - U ' , . ' /n'^(diameter), dimensionless REd or = Reynolds number based on o r i f i c e diameter and f l u i d Re d c o n d i t i o n s a t the o r i f i c e RED or • Reynolds numbers based on pipe I.D. and f l u i d Re n c o n d i t i o n s a t the o r i f i c e Ro = r e s i s t a n c e of the platinum r e s i s t a n c e thermometer a t • OOC., ohms Rt " r e s i s t a n c e of the platinum r e s i s t a n c e thermometer a t toC., ohms t i - time, see's. t]_ • o r i f i c e t h r o a t l e n g t h , i n . t 2 » o r i f i c e p l a t e t h i c k n e s s , i n . t ^ • w i d t h of pressure measuring s l i t , i n . T - temperature, °F. or °C. T C s l ™ temperature of thermocouple 1 ^cs2 " temperature of thermocouple 2 - r e f e r r e d to the r e s i s t a n c e thermometer Tcs3 " temperature of thermocouple 3 - r e f e r r e d t o the r e s i s t a n c e thermometer T c s k - temperature of thermocouple I4 - r e f e r r e d to the r e s i s t a n c e thermometer T c s £ - temperature of thermocouple 5 - r e f e r r e d to the r e s i s t a n c e thermometer U 9 Tmsl • temperature of thermometer 1 - referred to the resistance thermometer m̂s2 * temperature of. thermometer 2 - referred to the resistance thermometer Tms3 a temperature of thermometer 3 - referred to the resistance thermometer T^i = temperature read by thermometer 1 1̂ 2 ° temperature read by thermometer 2 Tm3 • temperature read by thermometer 3 U^ o bulk average upstream velocity, ft./sec, u*2 » bulk average downstream velocity, ft./sec. U 0 - bulk average velocity at the orifice, ft./sec. W = mass flow rate, lb. /sec. Wa - weight of working fluid, lb. X = actual upstream length of unobstructed pipe in test section, in. Xt • length of unobstructed pipe in test section, in. predicted by equation 1 Ul =• absolute viscosity, (lbH)/(ft.) (sec.) U Q - absolute viscosity of fluid at the orifice. 50 Greek Symbols f> = d e n s i t y , lbw/ft.3 tl o r V0 = kinematic v i s c o s i t y o f f l u i d a t o r i f i c e , C.S. FC o r ^. = d e n s i t y o f manometer f l u i d , gin./cm.3 PBO or = d e n s i t y o f t e s t f l u i d i n manometer l e g s , gm./cm.3 PO or p o = d e n s i t y of t e s t f l u i d a t o r i f i c e , gm./cm.3 / 3 • r a t i o , d/D dimensionless 51 LITERATURE CITED 1. A.S.M.E. "Fluid Meters" - Their Theory and Application" Report of the A.S.M.E. Research Committee on Fluid Meters, 5th ed., New York, 1959• 2. ' Supplement to A.S.M.E. Power Test Codes, Part 5, Chapter U, • "Flow Measurement", New York, 1959. 3. Prandtl, L. and 0. G. Tietjens, Applied Hydro and Aero Mechanics, Dover Publications Inc., New York, 1957. U. Perry, J„ HD edo, Chemical Engineers' Handbook, McGraw-flill Book Company, Inc, New York, 1950© 5«- Tuve, G.L. and R. E. Sprenkle, "Orifice Discharge Coefficients for Viscous Liquids", Instruments, 6, 201 (1933)° 6. Iversen, H. W., Orifice Coefficients for Reynolds Numbers from k to 50,000. Trans. A.S.M.E., 18, 359 (1956). 7. Sprenkle, R.E. and N. S. Courtright, "Straighteneing Vanes for Flow Measurements", Mech. Eng., 80, 71 (1958). 8. McCabe, W.L. and J. C. Smith, Unit Operations in Chemical Engineering, McGraw-Hill Company, Inc., New York, 1956, p 103. 9. Johansen, F.C., "Flow through Pipe Orifices at Low Reynolds Numbers", Reports and Memoranda No. 1252 of the Aeronautical Research Committee, London, England, June 1929. 10. "Ambrosius, E.E. and L.K. Spink, "Coefficients of Discharge of Sharp- Edged Concentric Orifices in Commercial 2-In., 3-In. and U-In. Pipes for Low Reynolds Numbers", Trans A.S.M.E., 69, 805 (19U7). 11. 12. 13. U'. IS. 16. 17. 18. 19. 20. Linden, fl. R. and 0. F. Othmer, " A i r Flow Through Small O r i f i c e s i n the Viscous Region",-Trans A.3.M.E., 71, 765 (19h9)• Kowalke, 0.. L., "Manner o f L i q u i d Flow Through a P i p e - L i n e O r i f i c e " , - I n d u s t r i a l and Engineering Chemistry, 30, February, 217.(1938). Rothfus, R. R., and R. S. Prengle,•"Laminar- t u r b u l e n t T r a n s i t i o n i n smooth p i p e s " , Ind. Eng. Chem., hhf 1683 (1952). Galloway, L. R., and W. E p s t e i n , Ph.D. Th e s i s , U n i v e r s i t y o f B r i t i s h Columbia, December, 1963. M a r d h e t t i , M., " I b o c c a g l i E I Diaframmi N o r m a l i z z a t l I.S.A.", L'Energia E l e t t r i c a , 13, 7^9, A p r i l , (1935). Thrasher, L. V., 3nd R. C. Hinder, "Small O r i f i c e Meters", Instruments and Automation, 27, November 1R10 (195M. Grace, H. P., and C. i\ Lapple, "Discharge C o e f f i c i e n t s o f Small Diameter O r i f i c e s and Flow Nozzles", Trans. A.C.M.E. 73, 639 (1951). Handbook of Chemistry and P h y s i c s , Forty-Second E d i t i o n , Chemical Rubber Company, 1960-1?6l. P r . r r a t t , L. G., P r o b a b i l i t y and Experimental E r r o r s ir. Science. John Wiley and Sons (1961), Chapter 3« Ratkowsky, D. A., " E s t i m a t i o n o f Random E r r o r i n a Derived Quantity", The J o u r n a l o f Chemical Engineering Education, 3, 3, Decamber, (1965). I-l APPENDIX 1 - RESULTS A Sample C a l c u l a t i o n S i n c e an e l e c t r o n i c computer was used f o r a l l c o m p u t a t i o n s , a sample c a l c u l a t i o n w i l l be p resented t o i n d i c a t e the method used* Tab les 1 - 1 1 i n c l u s i v e c o n t a i n the r e s u l t s in t a b u l a r f o r m . RUN 321 • > Wa - 230 l b . t i « 636.U s e c . />o - 1.03576 g m . / c . c . pho - 1.03551 g m . / c . c . Pc 1.58687U g m . / c . c . W H Vo 13.96 cm. 22.11 cm / s e c . W s / t i d 0.60267 i n . D 1.5058 i n . C o e f f i c i e n t o f D ischarge - r e f e r to e q u a t i o n s 21 and 22. K - I83.3U6 x W (26) I83.3U6 x 230/636ok C - K ll - f 0.60267 ) h v I 1.5o58 / - 0.70118 Reynolds number - refer to equations Rep - 22,737 W - D Vo/f - 22,737 x 230/636.U 1.5058 x 22.11 x 1.03576 - 238.2953 Red - 22,737 x 230/636.U .$60267 x 22.11 x lo03576 - 595.3925 1-2 (27) 24 and- 2-5 (28) ; ; ! / (29) 1 P TABLE 1-1 -._ [ , L I ' ; " [ RESULTS f , ; „ j RUN K. C REd RED NO. ' " O R I F I C E TYPE 1.0 INCH STANDARD j _ 1 0 5 ° « 6 2 0 ^ 6 _ _ _ _ _ _ 0.61248 17870.59 7144.39 f~ 106" 0.61958 """6.61162 16409.~13 6560.13" \ 107 0.61971 0.61174 ' 14850.35 5936.95 | 10 8 0.6214 6 0 ^ 1 3 4 7 13 74Q.3 4 5h 93«_18_ \ 109 0.62171 0.61372 12921.98 5166.01 | 110 0.62131 0.61332 11862.65 4742.51 j 111 0.62372 0.61570__ ___10812.85 4322.81 4 112 " 0 . 6 2 3 7 1 "0.61569' """9914.63 3963.72" 113 0.62670 0.61865 8857.76 3541.20 114 0.6 2821 0 ._62 014 78 3 5.8 5__ 313 2 .j65_ - 115 0.6300 7 0.62197 6823.5 5 2121.95 116 0.63374 0.62560 5906.14 .2361.19 117 0.63906 0.63085 5448.68 _2JLT8• 30_ 118 0.67911 6.670 38" 5108". 94 2042748 i 131 0.70911 0.70000 532.89 213.04 ] 132 0 ^ 0 9 9 5 0.70082 513.61 205_^3J_ | 133 0771067 6.70154 514.20 205.57 i 134 0.70357 0.69453 479.84 191.83 | 135 0.71381 0.70463 442.44 , 176.88 j"~~136 0.71717"" " " 0770795 401.55" 166753" | 137 0.71985 0.71060 378.13 151.17 ! 13 8 0.7 2 08 7 0 .71161 3JL9jL9_3 114JL3JL f 139 0.72116 6.71189 273.98 109.53 [' 140 0.72645 0.71711 211.55 . 84.58 | 141 0.72472 0.71540' 179.71 71.85 1 4 2 0.71284 0.70 367 117774 ! 41,OT | 143 0.67352 0.66486 60.49 24.18 j 505 0.71440 0.70 5 2 1 _ 523 .31 2 0?_^ 2L ! 506 0.70952 6770040 5237 31 209.21 | 506 0.71245 0.70329 544.41 217.65 i 506 0.70525 0.69618 544.41 217.65 f 5 0 7 ' " 0.70330 " 0.69426""'" 735.46"" 294763" \ I \ » I I TABLE 1-1 (CONTINUED) l-U r 1 RUN NO. • K C REd RED 507 508 0.69969 0.68854 0.69070 0.67969 735.46 1069.75 294.03 427.67 i 508 509 509 0.69546 0.67706 0.68214 0.68652 0.66836 0.67337 1069.75 • 1457.30 1457.30 427.67 582.60 582.60 1 1 510 510 511 0.66744 0.67159 0.66373 0.65886 0.66296 0.65520 1868.09 1868.09 2153.88 746.83 746.83 861.09 f 511 512 513 0.66802 0.66119 0.65742 0.65943 0.65269 0.64897 2153.88 2484.79 2807.02 861.09 993.38 , 1122.20 i i 514 515 \ 0 . 6 5 2 8 9 0.64859 0.64450 0*64026 3152.25 3465.72 1260.22 1385.54 t i TABLE 1-2 1-5 RESULTS i 1 I RUN NO, K C REd RED | O R I F I C E i ! 87 TYPE 1.5 INCH STANDARD 0.62085 0.61208 24475.65 10018.14 88 89 90 0.62124 0.62191 0.62223 0.61246 0.61312 0.61343 22863.66 21252.59 19866.99 9358.34 8698.91 8131.77 91 92 93 0.62355 0.62494 0.62657 0.61474 0.61611 0.61771 17531.19 15535.87 13671.72 7175.70 6359.00 5595.98 | 94 I 95 | 96 ,0.62642 0.62667 0.62723 0.61757 • 0.61782 0.61837 12264.85 11142.61 9940.64 5020.13 4560.79 4068.81 j 97 98 99 0.62958 0.59021 0.62826 0.62068 0.58187 0.61938 9015.34 9261.79 9051.35 3690.07 3790.95 3704.82 100 101 102 0.63190 0.63191, 0.63644 0.62297 0.62298 0.62745 7876.09 7313.32 6303.64 3223.77 2993.42 2580.15 103 104 151 0.64260 0.66205 0.70805' 0.63352 0.65270 0.69804 5121.76 3481.27 789.43 2096.39 1424.92 • 323.12 i ! 152 |. 153 i 154 0.70990 0.71284 0.71529 0.69986 0.70277 , 0.70518 739.79 681.21 639.78 302.80 278.83 261.87 155 156 157 0.71857 0.72178 0.72444 0.70841 0.71157 ' 0.71420 577.55 503.33 439.36 236.40 i 206.02 j 179.84 ! "158" 159 160 "0.72845 0.72879 0.73028 0.71815 0.71849 0.71996 380.53 334.35 272.55 155.76 1 136.85 | 111.56' j 161 162 522 0.72926 0.71748 0.71756 0.71896 0.70734 0.70742 194.23 126.15 638.24 79.50 ; 51.64 j 261.24 | 0.71433 0.70423 638.24 261.24 j l i TABLE 1-3 1-6 • RESULTS j RUN K C REd RED NO. O R I F I C E TYPE 2.0 INCH STANDARD 123 0.62077 0.61274 19133.92 7660.89 124 0.62211 0.61406 16532.48 6619.32 125 0.62360 0.61554 14313.22 5730.77 i 126 0.66456 0.65596 13165.24 5271.13 ; 127 0.62403 0.61596 11113.59 4449.69 128 0.62681 , 0.61871 9821.69 3932.43 129 0.62889. . 0.62076 8523.60 . 3412.70 •; 130 0.63736 0.62912 6195.34 2480.51 144 0.69340 0.68444 972.91 389.54 j 145 0.69689 0.68788 880.63 352.59 ! 146 0.70142' 0.69234 788.40 315.66 i 147 0.70513 0.69601 709.75 284.17 j 148 0.70869 0.69953 642.69 257.32 i 149 0.43668 0.43103 355.81 142.46 ! 150 0.71484 0.70560 497.95 199.37 j 151 0.72101 . 0.71168 431.30 172.68 ! 152 0.72113 0.71180 399.75 160.05 i 153 0.72377 0.71441 . 339.98 136.12 j 154 0.84451 0.83358 240.16 96.16 i 155 0.58198 0.57445 98.24 39.33 1 516 *" 0.68967 0.68075 791.16 316.77 517 0.68422 0.67537 1274.16 510.15 517 0.67877 0.66999 1274.16 510.15 518 0.67601 . 0.66727 1655.82 662.96 518 0.6718 8 0.66319 1655.82 662.96 519 0.66271 0.65414 2266.27 907.38 519 0.66957 0.66091 2266.27 907.38 520 0.65710 0.64860 • . • • 2753.32 1102.38 119 0.61720 0.60922 29017.75 11618.21 120 0.61908 0.61107 27418.22 , 10977.78 i 121 0.61622. 0.60825 25298.8 1 10129.21 | 122 0.62045 0.61243 23024.33 9218.54 I T A B L E 1 - 3 ( C O N T I N U E D ) i -7 ; i R U N K C R E d R E D j ! N O o j 5 2 3 0 . 7 1 1 0 1 0 . 7 0 0 9 * 6 7 1 4 . 1 6 i 2 9 2 . 3 1 i 5 2 3 0 . 7 0 4 8 0 0 . 6 9 4 8 4 7 1 4 . 1 6 2 9 2 . 3 1 ! 5 2 4 0 . 7 0 0 7 2 0 . 6 9 0 8 2 9 8 0 . 0 0 4 0 1 . 1 2 5 2 4 0 . 6 9 6 4 5 0 . 6 8 6 6 1 9 8 0 . 0 0 4 0 1 . 1 2 5 2 5 0 . 6 9 5 5 6 0 . 6 8 5 7 3 1 4 3 4 . 9 2 5 8 7 . 3 3 5 2 5 0 . 6 8 3 6 0 0 . 6 7 3 9 3 1 4 3 4 . 9 2 5 8 7 . 3 3 : 5 2 6 0 . 6 7 5 6 1 0 . 6 6 6 0 6 1 7 9 5 . 6 1 7 3 4 . 9 6 5 2 6 0 . 6 7 6 8 0 0 . 6 6 7 2 4 1 7 9 5 . 6 1 7 3 4 . 9 6 5 2 7 0 . 6 6 8 7 9 0 . 6 5 9 3 4 2 1 7 2 . 4 2 8 8 9 . 2 0 5 2 8 0 . 6 6 4 0 3 0 . 6 5 4 6 4 2 5 4 7 . 2 3 1 0 4 2 . 6 1 5 2 8 0 . 6 6 8 1 2 0 . 6 5 8 6 7 2 5 4 7 . 2 3 1 0 4 2 . 6 1 1 5 2 9 , 0 . 6 5 9 7 1 0 . 6 5 0 3 8 2 9 2 3 . 3 0 1 1 9 6 . 5 4 : 5 2 9 0 . 6 6 6 0 6 0 . 6 5 6 6 4 2 9 2 3 . 3 0 1 1 9 6 . 5 4 5 3 0 0 . 6 5 6 3 7 0 . 6 4 7 0 9 3 2 1 0 . 5 9 1 3 1 4 . 1 3 1 5 3 0 0 . 6 6 0 1 6 0 . 6 5 0 8 3 3 2 1 0 . 5 9 1 3 1 4 . 1 3 ! TABLE 1-3 (CONTINUED) 1-8 RUN NO. "520' 521 . 0.66072 0.67054 0.65217 0.66187 REd "275*3732"" 1653.41 RED 1102.38 662.00 TABLE 1-4 RESULTS RUN NO. O R I F I C E , T Y P E 1.0 INCH SHARP RE RED 16 0.63052 0.62227 16936.86 6799.91 17 18 19 20 21 22 23 24 _ 2 5 „ 26 65 66 67 68 69 76" 71 72 163 164 165 "166" 0.62033 0.61947 0.62015 "6'. 62 076" 0.62017 _0_.62487_ 6 o62811 0.62851 0.62968 0.62678" 0.62853 0.59776 0.62607 0.62937 0.63387 ~0.6369 9~ 0.64364 0.63788 0 .67497 0.67445 _0.67618_ 0". 67836 .61222 .61137 .61204 o 61264" .61206 • 616_70_ .61990 .62029 .62144 V61859" .62031 .58994 .61788 .62114 .62558 .62866" .63522 .62954 .66614 .66563 .66734 .66949" 16731.18 15413.04 1_5770.70 "1474 2."5 5" 15155.87 13768.09 12351.68 11454.73 _10382.54_ 9228.73 7270.82 6748.87 5906.86 5171.94 4938.78 "43 Ol". 39" 2855.88 1856.59 500.15 459.91 _427.JL5_ 383.33 6717.33 6188.11 _6331.71_ 5918.92 6084.86 5527.69 4959.02 4598.91 _4168.44 3705." 2'6~ 2919.13 2709.57 2371.52 2076.46 1982.85 "1726.95" 1146.59 745.39 200.80 184.65 171.50 153.90 TABLE 1-4 (CONTINUED) 1-9 167 0.68306 0.67413 333.47 133.88 j 168 0.68867 0.67966 272.10 109.24 ! 169 0.68878 0.67978 242.89 97.52 j 170 • 0.69662 0.68 751 214.93 86.29 ; 172 0.69987 0.69071 169.75 68.15 ! 173 0.71566 0.70630 140.42 56.38 i 174 0.72070 0.71128 75.23 30.20 J 537 0.67865 0.66978 361.86 145.28 j 537 0.67695 0.66809 361.86 145.28 . ! 538 0.66971 0.66095 585.96 235.26 ! "• 538 - 0.66738 0.65865 585.96 235.26 539 0.66258 0.65392 830.73 333.53 539 0.65949 0.65086 830.73 333.53 540 0.65637 0.64779 1076.46 432.18 j 0.66200 0.65335 1076.46 432.18 • ! 541 0.65343 0.64488 1370.13 550.09 ! i 541 0.65950 0.65088 1370.13 550.09 i \ 542 0.65130 0.64278 1627.06 6 5 3.24 I 542 0.65605 0.64747 1627.06 • 653.24 543 0.64896 0.64047 1897.44 761.79 ; 543 0.65121 0.64270, 1897.44 761.79 j 544 0.65039 0.64189 - 2122.90 852.31 J 1 545 0.64659 0.63813 2442.51 980.63 | 546 0.64680 0.63834 2729.45 1095.83 j 547 0.64608 0.63763 3079.60 1236.41 | 548 0.64486 , 0.63643 3442.51 1382.12 1 TABLE 1-5 1-10 RESULTS RUN K. C REd RED NO. i O R I F I C E TYPE 1.5 INCH SHARP i 37 0*63002 0.62129 24070.00 9804.79 38 0.62241 0.61378 23310.43 9495.39 39 0.62483 0.61617 21960.13 8945.35 V t 40 0o62433 . 0.61568 20820.31 8481.05 41 0.61715 0.60860 19019.91 7747.66 42 0.62355 0.61491 17491.17 7124.94 43 0.62453 0.61588 15474.76 6303.56 44 0 c 6 2 5 2 5 0.61658 14042.96 5720.33 45 0.62565 0.61698 12673.94 5162.66 ! 46 0.62253 0.61390 12591.53 5129.09 j 47 0o62469 0.61603 12376.08 5041.33 i 48 0.62614 0.61746 11670.46 4753.90 ; r 49 0.62823 0.61952 11264.74 4588.63 50 0.62836 0.61965 10416.85 4243.25 i 51 0.62868 0.61996 9449.70 3849.29 52 0.62902 0.62030 8962.40 3650.79 53 0.62729 0.61859 8179.23 3331.77 [ 54 0.63171 0.62295 7222.65 2942.11 55 0.63666 0.62783 6050.00 2464.44 ! 56 0.64608 0.63712 4369.63 1779.95 j 57 0.64784 0.63886 2643.86 1076.96 j 184 0.66881 0.65954 764.94 311.59 I 185 . 0.67528 0.66592 600.73 244.70 j \ 186 0.67038 0.66108 695.90 283.47 j I 187 0.67006 0.66078 669.51 272.72 1 188 0.67526 0.66590 550.69 224.32 | ,189 0.67828 0.66887 478.38 194.86 ! ! 190 0.68264. 0.67318 423.80 172.63 ! j 191 0.68582 0.67631 383.44 156.19 | ? 192 0.69029 0.68072 335.31 136.59 | 193 0.68938 0.67982 298.51 121.60 i 194 0.69881 0.68912 239.84 97.70 I I TABLE 1-5' (CONTINUED) i _ n I RUN K C REd RED i j NO. | 195 0.70666 0o69687 140.40 57.19 I 557 0 c6 72 3 9 p ._66_3 0 7 §J32JL? 7 257.55 1 557 0.66723 0.65798 632.27 257.55 { 558 0.66947 0.66019 937.81 382.01 \ 558 0.66400 • 0.65480 937.81 382.01 ; \ "559" 0.66549' " ""6.65626 1192.34 48 5.69 | 559 0.66131 0.65215 1192.34 485.69 | 560 , 0.6 56 00 0.64691 1602.23 65 2.66 i 560 0.65834 . 0.64922 1602.23 652.66 561 0.65369 0.64462 1832.61 746.50 | 561 0.65777 0.64866 1832.61 . . . J 4 6 ' 5 0 ' j ""'562 0.65198 0.64294 " 2~108~.74 8~5 8"798 | 562 0.65191 0.64288 2108.74 858.98 t f _ _ 5 63 0.6 5157 0_.64 2_54 2417.08 984.58 i j 563 0.65485 0.64577 2417.08 984.58 ! 564 0.64981 0.64080 • 2823.35 1150.08 \ 1 564 0.65482 0.64574 2823.3 5 1150.08 i | 565 •0~o'65 203 'o'.64299~ ~3d8'l.99 1255.43 ! 565 0.65537 0.64629 3081.99 1255.43 i j TABLE 1-6 I . • ^ ; ; ; RESULTS j \ NO. ,' ! i ' ! • OR I F I C E""T Y P E " "2". 0~I N C H S HA RP " ! i 7 3 0 .6165 7 0 .6084 7 3 094 4.8 3 0 74" 0.61710 6.60899 28390.81 11411.53" 75 0.61695 0.60885 26945.65 10830.65 76 0.61605 0.60796 24677.14 \ 9918.84 77" 0.61884 : ~ "0.61071 ' """2243274'8' 9Q16Y6T 1 i: T A B L E 1 - 6 ( C O N T I N U E D ) 1 - 1 2 R U N K c • R E d R E D . N O o • 7 8 0 . 6 1 6 0 3 0 . 6 0 7 9 3 1 9 8 2 7 . 9 5 7 9 6 9 . 7 3 7 9 0 . 6 2 0 3 5 0 . 6 1 2 2 0 1 7 0 3 4 . 4 2 6 8 4 6 . 8 9 8 0 0 . 6 1 9 9 7 0 . 6 1 1 8 2 1 4 5 4 0 . 3 6 5 8 4 4 . 4 2 8 1 0 . 6 2 0 6 4 . 0 . 6 1 2 4 9 1 3 4 0 0 . 2 4 5 3 8 6 . 1 5 8 2 0 . 6 2 1 8 2 0 . 6 1 3 6 5 1 1 7 1 4 . 6 9 ' 4 7 0 8 . 6 6 • ( 8 3 0 . 6 2 2 3 9 0 . 6 1 4 2 1 1 0 4 6 0 . 6 5 4 2 0 4 . 6 0 1 1 8 4 0 . 6 2 0 7 4 • 0 . 6 1 2 5 8 8 3 2 3 . 8 3 3 3 4 5 . 7 2 j r 8 5 0 . 6 2 8 1 0 . 0 . 6 1 9 8 5 6 2 2 5 . 0 3 2 5 0 2 . 1 2 [ 8 6 0 . 6 3 5 7 6 0 . 6 2 7 4 1 4 9 9 5 . 2 1 2 0 0 7 . 8 0 1 7 2 0 . 6 5 7 1 4 0 . 6 4 8 5 1 1 0 6 5 . 2 9 4 2 8 . 1 9 1 7 3 0 . 6 5 9 0 1 0 . 6 5 0 3 6 1 0 0 2 . 6 3 4 0 3 . 0 0 | 1 7 4 , 0 . 6 5 9 7 1 0 . 6 5 1 0 4 8 7 3 . 0 0 3 5 0 . 9 0 • 1 1 7 5 0 . 6 6 0 9 7 0 . 6 5 2 2 9 8 3 0 . 8 5 3 3 3 . 9 5 j 1 7 6 0 . 6 6 4 2 3 • 0 . 6 5 5 5 1 7 1 6 . 1 7 2 8 7 . 8 6 | 1 7 7 0 . 6 6 6 2 1 0 . 6 5 7 4 6 6 0 7 . 1 0 2 4 4 . 0 2 j 1 7 8 0 . 6 7 2 6 8 0 . 6 6 3 8 4 5 1 1 . 6 2 2 0 5 . 6 4 \ 1 7 9 0 . 6 7 5 9 7 0 . 6 6 7 0 9 4 4 5 . 6 0 1 7 9 . 1 1 I i 1 8 0 0 . 6 7 8 1 0 0 . 6 6 9 1 9 4 1 2 . 7 5 1 6 5 . 9 0 i 1 8 1 0 . 6 8 4 6 2 0 . 6 7 5 6 3 3 4 2 . 1 1 1 3 7 . 5 1 * 1 8 2 0 . 6 8 1 6 2 0 . 6 7 2 6 6 2 4 2 . 0 8 9 7 . 3 0 ' j 1 8 3 0 . 6 8 3 3 3 0 . 6 7 4 5 5 1 6 3 . 6 7 6 5 . 7 8 5 4 9 0 . 6 6 6 0 2 0 . 6 5 7 2 7 6 8 4 . 4 0 2 7 5 . 0 9 j 5 5 0 0 . 6 5 8 9 6 0 . 6 5 0 3 1 9 9 5 . 7 1 4 0 0 . 2 2 5 5 0 0 . 6 5 5 0 1 0 . 6 4 6 4 1 9 9 5 . 7 1 4 0 0 . 2 2 j 5 4 9 0 . 6 5 7 8 7 0 . 6 4 9 2 2 6 8 4 . 4 0 2 7 5 . 0 9 j 5 5 1 0 . 6 5 6 0 8 0 . 6 4 7 4 6 1 2 9 0 . 8 0 5 1 8 . 8 3 ! 5 5 1 0 . 6 5 2 6 1 0 . 6 4 4 0 4 1 2 9 0 . 8 0 5 1 8 . 8 3 I 5 5 2 0 . 6 5 1 8 3 0 . 6 4 3 2 7 1 5 6 5 . 4 0 6 2 9 . 2 0 I 5 5 2 0 . 6 4 9 9 1 0 . 6 4 1 3 7 1 5 6 5 . 4 0 6 2 9 . 2 0 | 5 5 3 0 . 6 4 6 5 4 0 . 6 3 8 0 5 1 9 7 8 . 8 6 7 9 5 . 3 9 1 • . 5 5 4 0 . 6 4 7 8 8 0 . 6 3 9 3 7 1 7 7 5 . 0 5 7 1 3 . 4 7 | 1 5 5 5 0 . 6 4 6 1 0 0 . 6 3 7 6 1 2 2 7 4 . 5 9 9 1 4 . 2 6 1 5 5 6 0 . 6 4 5 9 0 0 . 6 3 7 4 1 2 5 0 6 . 8 1 1 0 0 7 . 6 0 TABLE 1-7 1-13 RESULTS RUN ~ K- "~ "" C™ " " "REd RED NO. O R I F I C E TYPE G.S. BETA=0.2 __2 26 0.72378 0.723 22 _309.06 .61.36 227 ' 0.71729 " 0.71674~ • 283.91 56.37~ 228 0.71652 0.71597 258.32 51.29 229 0.71 517 0.71462 2_3J7o_82 47.22 230 0.7T341 6.71286 213.93 42.48 231 0.70676 0.70621 183.98 36.53 _ 2 3 2 _ 0.70076 0.70021 150.29 29.84 "233 0.72605 6 7 7 2 5 4 8 ™ "118.73 23757" 384 0.70136 0.70082 693.29 137.65 385 °jJH* °_2 0.71347 486.18 96.53 386 6.71574 0.71518 292.46 58.07 396 0.71665 0.71609 360.60 71.60 __397 0.70344 0.70289 585.89 116.32 398 6".69750" " 0.69695 ~(>Si"o52 \3b*S0 399 0.68900 0.68847 797.41 158.32 400 0.674 80 0_._6_7428 891.30 176.96 401 0.66534 0.66482 987.07 195.98 402 • 0.65586 0.65535 1101.00 218.60 403 • 0.65258 0.65207 1206.72 239.59 404 0.65411 0.65361 "l374.~07 2 7 2 . Y 1 405 0.65212 0.65162 1536.46 305.05 40 6 0_. 64915 0o6 4865 1695.16 336.56 407 0.64643 , 0.64593 1823.78 362.10 408 0.64213 0.64163 1989.61 395.03 _ 4 0 9 0.6269 5J 0.62646 2131.20 42 3_.14 410 ~ 0.62581 "* 0.62532 2266.35 449.97" ,411 0.62413 0.62365 2387.62 474.05 211 0. 71 33 4 0. 71277 ^AtP* 85.11 212 0.71426 0.Y1369 403.25 80.66 213 0.71598 0.71541 383.91 76.79 _ 2 1 4 0.J1624 0.71566 372.54 71» 5 1 215 6.71753 " 0771695 " 35"i'.'0 2 10 721 f f TABLE 1-7 (CONTINUED) j 1-iU ; t RUN K C V REd RED i _ N 0 . j 216 0,71610 0.71553 329. 19 65.84 I 217 0,71818 0.71761 ' 292.81 58.57 218 0,71689 0.71632 260.16 52.04 8 1 219 0,71584 0.71527 234.17 46.84 1 J 220 0,71518 0.71460 209.19 41.84 1 i j 221 0.71364 0.71307 180.70 36.14 j 222 0,71163 0,71106 163.51 32.70 : i f a 223 0,70905 0.70848 144.85 28.97 * 224 0,70094 0.70038 118.79 23.76 ; 393 0,70819 0.70762 468.92 93.79 394 0,70347 0.70291 611.44 122.30 421 . 0,70492 0.70435 505.24 101.05 : 422 0,69094. 0.69039 732.56 146.52 423 0,67601 0 .67547 933.14 186,64 424 0,66781 0.66728 1051,17 210.25 i 425 0,64692 0.64640 1148.15 229.65 1 425 0,66264 0.66211 1176,06 235.23 1 426 0,65579 0.65527 1307,30 261.48 i 427 . 0,64510 0.64459 1619,99 324,02 ; 1 ' 428 0,64974 0.64922 1482.91 296.60 I 429 0,63482 0.63432 1688.08 337.64 ; 430 0,67960 0.67905 1795.25 359.07 431 0,64365 0.64314 1952.48 390.52 • 432 0.63809 0.63758 2174.37 434.90 j 433 0.63542 0.63492 2318.45 463.72 ! 434 0.63210 0.63159 2585.45 517.12 j I • 435 0.62901 .. 0.62850 2852.28 570.49 ! i 436 0.62625 0.62575 3096.45 619.33 j ; 387 0.65988 0.65935 1206.69 241.23 388 0.66237 0.66184 1092.23 218.35 ! 1 389 0.67054 0.67000 972.18 194.35 ? . 390 0.67596 0.67542 870.95 174.12 391 0.68354 0.68299 752.04 150.34 1 392 0.70003 0.69947 501.44 100.24 : 196 0.70083 0.70027 546.14 109.18 I 197 0.70286 0.70230 524.01 104.76 j I [ TABLE 1-7 (CONTINUED) 1-15 RUN K ' C REd RED l N 0 . ^ ; , 198 • 0.70349 0.70293 494.63 98.88 199 0o70638 0.70582 463.33 92.63 1 ! 200 0o70756 0,.70700 432.71 86.51 1 201 0.70992 0.70936 402.69 80.50 1 202 0,71197 0.71140 357.42 71.45 \ • 203 0.79539 0.79475 321.99 64.37 1 204 0.71346 0.71289 249.39 49.86 205 0.71429 0.71372 320.88 64.15 206 0.71312 0.71255 228.20 45.62 207 0.71345 0.71288 201.40 40.26 208 0.70992 0.70935 172.45 34.48 209 0,70086 • 0.70030 • 137.86 27.56 210 0.68997 0.68941 89.55 17.90 412 0.69015 0.68960 689.82 137.90 413 0.67471 0.67417 928.13 185.55 414 0.66292 0.66239 1129.73 225.85 415 0.64331 0.64280 1319.19 263.72 415 0.65418 0.65366 1341.48 268.18 416 0.64715 0.64664 1512.90 ' 302.45 417 0.64289 0.64237 1667.22 333.30 418 0.63812 0.63761 1847.13 369.27 419 0.63596 • 0.63545 2009.08 401.64 420 0.63311 • 0.63261 2137.98 427.41 TABLE 1.-8 1-16 RESULTS RUN NO* REd RED URTF'IC'E TYPE 6 . S . B E f A = 0 . 4 278 "279" 280 _28_1_ 282 2 8 3 2 8 4 "28 5 " 286 _2_8J_ 288 289 _290 3 3 5~ 336 _3 3_7_ 3 38 339 340 " 3 4 1 " 342 _343_ 4 52 4 5 3 4 5 4 4 5 5 " 4 5 6 _4_5_7_ 458 4 5 9 460 Oo "bo Oo Oo 0 . Oo Oo "oV Oo Oo Oo Oo Oo "Oo Oo Oo 71394_ 71670 71804 7_189 7_ 72078 72278 7 2 2 8 6 _ 7213 5 71853 7p_O_O_0_ 71966 69434 67858 6 9 9 4 2 " 70158 70426 , 7 0 6 9 6 , 7 1 0 0 6 , 7 1 3 5 8 77175 6™ , 7 1 9 6 7 , 7 1 4 1 6 Oo Oo Oo "oV Oo Oo "Oo Oo 0 . 4 6 1 9 7 8 4 6 6 8 7 6 8 6 8 2 9 9 6 9 1 8 0 " 6 7 6 3 0 672_9 3_ 6 6 4 7 2 6 6 0 6 8 6 6 2 0 2 7 4 7 5 8" 0 o 7 0 4 8 7 0 . 70 759" Oo 7 0 8 9 2 _0Wj0983_ 0 . 7 1 1 6 2 0 . 7 1 3 6 0 0 . 7 1 3 6 7 "0* 71 218" 0 o 7 0 9 4 0 0 . 6 9 1 1 1 0 . 7 1 0 5 1 0 o 6 8 5 5 1 0 . 6 6 9 9 6 V. 690 5 3" 0 . 6 9 2 6 6 0 o 6 9 5 3 2 0 . 6 9 7 9 8 0 o 7 0 1 0 4 0 o 7 0 4 5 2 " 0 o 7 0 8 4 4 " 0 . 7 1 0 5 3 0 . 7 0 5 0 9 0 . 9 6 6 0 3 0 . 6 7 8 9 4 jO . 6 7 4 3 2 6 .68 3 0 1 " 0 . 6 6 7 7 1 0 . 6 6 4 3 8 0 . 6 5 6 2 7 0 . 6 5 2 2 9 0 . 6 5 3 6 1 _ "0 • 7 3 8 0 9 5 1 0 . 8 0 "467 o 6 5" 4 3 2 . 3 2 3 9 6 . 6 2 3 4 9 o 5 6 2 9 1 * 5 9 2 5 2 o 5 1 " "213 .38" 1 8 4 . 1 7 1 3 6 . 19 1 2 7 o 2 8 1 0 4 . 9 0 6 2 . 8 3 _ " 8 3 2 . 2 1 7 9 6 . 3 4 7 1 5 . 9 0 6 5 4 . 7 3 5 7 7 . 2 1 5 0 2 . 8 1 _ "45" l «29 3 7 2 . 3 0 2 9 7 . 5 8 1 0 1 2 . 1 1 9 4 0 . 2 9 1 1 7 0 . 8 7 93T .¥0~ 1 3 7 9 . 7 5 1 5 2 0 . 0 9 1 9 0 5 . 7 0 2 1 7 6 . 8 2 2 4 7 2 . 2 6 ""32 0 3 . 33* 2 0 3 . 6 2 "l8*6~.42" 1 7 2 . 3 3 1 5 8 . 1 0 1 3 9 . 3 4 1 1 6 . 2 3 19°966 8 ' 5 . 06" 7 3 . 4 1 5 4 . 2 9 5 0 . 7 4 4 1 . 8 2 _ 2 5 . 0 5 3 3 T . 7 4 * 3 1 7 . 4 4 2 8 5 . 3 7 2 6 0 . 9 9 2 3 0 » 0 9 2 0 0 o 4 3 " l 7 9 o 8 9 " 1 4 8 . 4 1 1 1 8 o 6 2 4 0 3 . 4 5 3 7 4 . 8 2 4 6 6 . J 4 " 3 7 1 . 2 0 " 5 5 0 . 0 0 6 0 5 . 9 4 7 5 9 . 6 5 8 6 7 . 7 3 9 8 5 . 5 0 1.2 76.79 2" TABLE 1-8 (CONTINUED) i • 1-17 \ RUN K C RE d RED ; ! NO. t 462 0o67843 0.66981 3236.59 1290.18 / 463 0.65051 0.64225 3506.91 1397.93 I 496 0.71040 0.70137 528.95 210.85 j 496 0.70358 0.69464 528.95 210.85 j 497 0.68889 0.68014 1049.96 418.54 i ' 4 9 7 0.68653 0.67780 1049.96 418.54 | 498 0.67508 ; 0.66650 1458.86 581.53 ' 498 0.68312 0.67444 1458.86 581.53 : 499 0.66927 0.66077 1669.02 665.31 500 0.67195 0.66341 1669.02 665.31 500 0.66187 0.65346 2146.14 855.50 ] 500 0.66669 0.65821 2146.14 85 5.50 \ 501 0.66345 0.65502 . 2166.24 863.51 502 0.66399 0.65556 2394.86 954.64 j 503 0.65530 0.64698 2666.39 1062.88 : 504 0.64984 0.64158 2920.06 1164.00 303 0.70322 0.69414 751.92 300.94 304 0.70541 0.69630 707.81 283.29 305 0.70705 0.69792 650.71 260.44 I 306 0.71078 0.70160 591.52 236.74 307 0.71468 0.70545 516.56 206.74 i 308 0.71844 0.70917. 448.64 179.56 309 0.71905 0.70976 399.01 159.70 I 310 0.72188 0.71255 327.04 130.89 311 0.72431 0.71496 279.46 111.85 312 0.72376 0.71441 247.57 99.09 | 313 • 0.72274 0.71340 193.77 77.55 j 314 0.71514 . 0.70590 • 127.54 51.05 ' 315 0.69006 0.68115 1105.42 '442.42 316 ""6.6937 5 0.68479 996.31 398.75 ""I 318 0.69789 0.68888 903.03 361.42 319 0.70185 0.69279 799.28 319.90 ! 320 0.70616 0 .69704 .657.94 26 3.33 321 0.71232 0.70 312 595.39 238.30 J 322 0.71728 0.70802 523.43 209.49 | ""323"" """"" "'677198 3 0.71054 414.89 166.05 ! •i i i F t; i TABLE 1 - 8 (CONTINUED) i 1-18 ' ; RUN • K C REd . RED \ NO. 3 2 4 0 . 7 2 4 4 1 0 . 7 1 5 0 6 3 2 2 . 0 6 1 2 8 . 9 0 |, 3 2 5 0 . 7 2 0 4 6 0 . 7 1 1 1 6 1 6 6 . 2 9 6 6 . 5 5 3 2 6 0 . 6 8 8 4 4 0 . 6 7 9 5 5 1 1 0 5 . 9 4 4 4 2 . 6 3 J 3 2 7 0 . 6 9 2 7 9 0 . 6 8 3 8 4 1 0 2 7 . 7 6 4 1 1 . 3 4 '1 '1 3 2 0 0 . 7 0 4 0 5 0 . 6 9 4 9 6 6 5 7 . 9 4 2 6 3 . 3 3 •> I. 3 2 1 0 . 7 1 0 3 6 0 . 7 0 1 1 9 5 9 5 . 3 9 2 3 8 , 3 0 J 322 0 . 7 1 5 2 0 0 . 7 0 5 9 7 5 2 3 . 3 3 2 0 9 . 4 5 3 2 3 0 . 7 1 7 5 6 0 . 7 0 8 3 0 4 1 4 . 8 9 1 6 6 . 0 5 i 3 2 4 0 . 7 2 5 7 7 0 . 7 1 6 4 0 3 2 2 . 0 6 1 2 8 . 9 0 i i 3 2 5 0 . 7 4 4 4 0 0 . 7 3 4 7 9 1 6 6 . 2 9 6 6 . 5 5 f 3 4 7 0 . 6 9 4 4 0 0 . 6 8 5 4 4 1 5 9 . 5 9 6 3 . 8 7 1 347 0 * 7 2 8 4 1 0 . 7 1 9 0 0 1 5 9 . 5 9 6 3 . 8 7 .t ? 348 0 o 7 2 2 5 7 0 . 7 1 3 2 4 3 5 0 . 2 8 1 4 0 . 1 9 t \ 348 0 . 7 0 8 6 6 0 . 6 9 9 5 1 3 5 0 . 2 8 1 4 0 . 1 9 L i i 349 0 . 7 1 5 7 0 0 . 7 0 6 4 6 4 8 6 . 7 0 1 9 4 . 7 9 f 349 0 . 7 0 5 8 1 0 . 6 9 6 7 0 4 8 6 . 7 0 1 9 4 . 7 9 i 350 0 . 7 1 0 0 0 0 . 7 0 0 8 3 5 9 9 . 3 7 2 3 9 . 8 9 1 " 350 0 . 7 0 2 0 7 0 . 6 9 3 0 1 5 9 9 . 3 7 2 3 9 . 8 9 i i 351 0 . 7 0 4 7 3 0 . 6 9 5 6 3 7 0 4 . 0 3 2 8 1 . 7 7 1 J 352 0 . 7 0 0 3 9 0 . 6 9 1 3 5 8 1 9 . 1 2 3 2 7 . 8 4 353 0 . 6 9 5 5 9 0 . 6 8 6 6 0 8 8 5 . 4 9 3 5 4 . 4 0 i 354 0 . 6 9 5 9 8 0 . 6 8 7 0 0 9 3 9 . 1 7 3 7 5 . 8 9 | 3 5 5 0 . 6 9 3 4 2 0 . 6 8 4 4 6 9 8 6 . 3 9 3 9 4 . 7 8 ! s 3 5 6 0 . 6 9 1 3 2 0 . 6 8 2 3 9 1 0 2 7 . 4 0 4 1 1 . 2 0 f 1 3 5 7 0 . 6 8 9 5 6 0 . 6 8 0 6 5 1 0 8 0 . 3 6 43 2 . 3 9 | 358 0 . 6 8 9 7 9 0 . 6 8 0 8 8 1 1 0 3 . 4 9 4 4 1 . 6 5 1 4 3 7 0 . 9 6 6 6 0 0 . 9 5 4 1 2 1 0 0 5 . 1 3 4 0 2 . 2 9 1 438 0 . 9 5 3 6 1 0 . 9 4 1 3 0 1 4 5 0 . 3 7 5 8 0 . 4 9 j I I t 439 0 . 9 4 6 7 1 0 . 9 3 4 4 9 ' 1 7 1 3 . 9 2 6 8 5 . 9 7 f. 4 4 0 0 . 9 4 0 5 6 0 . 9 2 8 4 2 2 0 8 1 . 1 7 8 3 2 . 9 5 i it 4 4 1 0 . 9 3 7 4 3 0 . 9 2 5 3 3 2 3 6 2 . 9 5 9 4 5 . 7 3 ; >] ,t 4 4 2 0 . 9 3 4 0 1 0 . 9 2 1 9 5 2 7 5 0 . 6 7 1 1 0 0 . 9 1 : 4 4 3 0 . 9 3 6 1 8 0 . 9 2 4 0 9 2 5 7 9 . 0 3 1 0 3 2 . 2 1 4 4 4 0 . 9 3 5 2 6 0 . 9 2 3 1 9 2 9 8 3 . 5 4 1 1 9 4 . 1 1 ; i 4 4 5 0 . 7 8 7 8 2 0 . 7 7 7 6 5 2 8 5 5 . 2 2 1 1 4 2 . 7 5 j r 4 7 9 0 . 7 1 4 2 9 0 . 7 0 5 0 6 6 1 4 . 1 1 2 4 5 . 7 9 j 1 !' : TABLE 1-8 (CONTINUED) 1-19 — RUN K C REd RED NO, 479 0,70530 0.69619 614.11 245.79 480 0,69571 0.68673 956.14 382.68 ij 480 0,69203 0.68310 956.14 382.68 t 481 0,68680 0.67793 1240.47 496.48 ! 481 0.68497 0.67613 1240.47 496.48 ; i 482 0,67682 0.66808 1451.76 581.04 483 0.66847 0.65984 1756.44 702.98 ' 483 0.68104 0.67224 1756.44 702.98 484 0.66487 0.65628 1990.83 796.80 484 0.67191 • 0.66324 1990.83 796.80 485 0.65941 0.65090 2365.10 946.59 ). 485 . 0,66124 0.65270 2365.10 946.59 ; 486 0.65726 0.64877 2686.18 1075.10 ' 486 0.66105 0.65252 2686.18 1075.10 487 0.65303 0.64460 2910.15 1164.74 487 0.65863 0.65012 2910.15 1164.74 291 0.59829 0.59057 839.70 336.02 292 0.69770 0.68869 921.38 368.70 293 0.69970 0.69067 828.93 331.71 294 0.70559 0.69649 704.39 281.87 ! i 295 0.70882 0.69967 630.47 252.29 i 296 0.71417 0.70495 562.34 225.03 \ 297 0.71546 0.70623 508.82 203.61 298 0.71919 0.70991 450.16 180.14 \ 299 0.72195 0.71264 372.12 148.91 ! 300 0.72368 0.71435 301.33 120.58 301 0.72529 0.71593 239.30 95.76 302 0.74560 0.73597 ' 175.33 70.16 327 0.72650 0.71713 196.67 78.70 ! — • 3 2 7 " - 0.72371" "" 0.71437 196.65 78.69 ' 328 0.71957 0.71028' 479.67 191.95 : 328 0.70878 0.69963 479.67 191.95 i 329 0.72150 0.71219 358.69 143.53 329 0.71077 0.70160 358.69 143.53 !- 330 0.71460 0.70538 597.20 238.98 1 3 30 0.70471 " 0.69561 597.19 238.98 ; TABLE 1-8 (CONTINUED) 1-20 RUN K c REd RED NO. I 331 0.70964 0. .7004*8 715. .13 286 .17 ! 331 0.69957 0 .69054 715. .13 286 .17 1 ' 3 32 0.70423 0. .69514 796. .33 318 .67 332 0.69557 . 0. .68659 796. .33 318 .67 I 334 0.69469 0, .68573 1010. .86 404 .51 1 334 0.6849 5 0. .67611 1010. .86 404 .51 344 0.93140 0. .91938 447. .50 179 .07 i 344 0.91743 0. .90559 447. .50 179 .07 345 :• 0.92150 0. .90960 622i .56 249 .13 345 0.91676 0. .90493 622. .56 249 .13 346 0.78451 Oi ,77438 797. ,10 318 .97 346 0.74688 Oi .73725 797. .10 318 .97 447 0.92768 0« .91571 1688, .34 . 675 .62 ! 446 0.94977 0. .93751 1171, .90 468 .95 448 0.91965 0. .90778 2033i .71 813 .82 449 0.91449 Oi .90269 2223i .48 889 . 76 j ' 450 0.91221 0. .90044 2589i • 40 1036 .19 451 0.90931 Oi .89758 2854. .70 1142 .35 ; 488 0.69753 Oi .68853 658. .75 263 .61 i 288 0.68742 0« .67855 658. .75 263. .61 ! 289 0.70406 Oi .69497 679. .02 271 .72 ; 289 0.69305 Oi .68411 679. .02 271, .72 ! 490 0.69617 Oi .68719 940i .16 376 .22 ! 490 0.68973 0. .68083 940. .16 376, .22 j 491 0.67719 0. .66845 145li .99 581, .04 491 0.67406 0. .66536 1451. • 99 581, .04 j 492 0.67203 Oi .66335 1666. .83 667, • 01 ; 492 0.66835 Oi 65973 1666, .83 667, • 01 1 493 0.66577 Oi .65718 1987. ,65 795, • 39 i 493 0.67375 0. .66506 1987. ,65 795, .39 ! 494 0.66011 0< .65159 2287i ,08 915 .21 ; 494 0.65789 Oi .64940 1 2287. ,08 915, •2.1 ] 495 0.65833 0< ,64984 ' 2571. ,94 1029, .21 495 0.66216 Oi .65362 2571. • 94 1029, .21 TABLE 1-9 1-21 RESULTS RUN K C REd RED NO. O R I F I C E TYPE G.S. BETA»0.6 « * ; 235 . 0.81264 0.75835 795 i ,45 476.85 ! 236 ' 0.81750 0.76288 755« ,84 453.11 237 0.81570 . 0.76121 694, ,65 416.43 238 0.80851 0.75450 607. ,07 363.93 239 0.80517 0.75138 520. ,84 312.23 240 0.81387 0*75950 479« ,70 287.57 241 0.81614 ' 0.76162 410, ,63 246.16 i 242 0.81693 0.76235 366, • 25 219.56 . 243 0.81565 0.76116 322, .12 193.10 1 2t*4 0.81858 0.76390 261, .44 156.73 • I 245 0.81029 .0.75615 210, .72 126.32 246 0.79140 0.73853 149, • 42 89.57 247 0.81497 0.76052 458, .49 274.86 248 0.81682 0.76225 525, .28 314.89 377 0.78104 0.72886 237, .94 142.64 378 0.79917 0.74578 411 .00 246.39 379 0.81588 0.76138 514, .03 308.15 380 0.80980 0.75570 • . 644 .18 386.17 381 0.81278 0.75848 729 .78 437.49 382 0.80722 0.75329 831 .59 498.52 383 0.80534 . 0.75154 901 .75 540.58 i 602 0.80778 0.75382 520 .49 312.02 603 0.81167 v 0.75 744 : 1056 .82 633.54 604 0.79400 0.74095 ' 1469 .88 881.16 605 0.78087 0.72870' 1868 .42 1120.07 606 0.77322 0.72156 2213" ."97 1327.22 | 607 0.76785 0.71655' 2426 .79 1454.81 j I 608 0.75881 0.70812 2859 .21 1714.03 I 6 0 9 0.75469 0.70427 3002 .15 1799.72 j } 610 0.78178 0.72956 . 1845 .77 1106.50 ! 611 0.77041 0.71894 2244 .26 1345.38 612 0.81098 6.75680 ' 716 ."8"4 429.73 TABLE 1-9 (CONTINUED) . • 1- • 22 RUN K C REd RED • NO. • 613 0.79774 0.74444 1301.48 780 .21 614 0.79919 0.74580 1258.76 . 754 .60 657 0.69832 . 0.65166 146.74 87 .96 658 0.81305 . 0.75873 324.50 194 .53 658 0.81290 0.75860 324.50 194 .53 659 0.80424 0.75051 223.12 • 133 .75 659 0.80471 0.75095 223.12 133 .75 660 . 0.80240 0.74879 193.51 116, ,00 660 0.79679 0.74356 193.51 . 116, • 00 661 0.81740 ; 0.76279 406.57 243 .73 i 661 0.81746 0.76284 406.57 243 .73 1 662 \ 0.81418 0.75978, 474.50 284 .45 . 662 0.81568 0.76118 474.50 284 .45 663 0.81440 0.75999 581.14 348 .38 1 j' 663 0.81108 0.75690 581.14 348 .38 664 . 0.80903 0.75498 760.04 455 .62 664 0.81057 0.75642 760.04 455 .62 665 0.80812 0.75413 757.15 453, .90 665 0.80861 0.75459 757.15 453 .90 666 0.80489 s0.75112 888.02 532 .35 666 0.80211 0.74853 888.02 532 .35 667 0.80281 0.74918 - 958.51 574 .61 667 0.79304 0.74006 958.51 574 .61 668 0.79399 0.74094 . 1014.38 608 .10 j 668 0.79507 0.74196 1014.38 608 .10 i 669 0.82579 0.77062 144.39 86 .56 ! 669 0.79538 v 0.74224 /. . 144.39 86 .56 670 0.81881 0.76411 ' 189.57 113 .64 670 0.80777 0.75381 1 189.57 113 .64 '! 263 0.81015 0.75642 978.47 585 .54 ! 264 0.81203 0.75817 920.45 550 .82 265 0.81352 0.75956 867.69 519 .25 266 0.81395 • 0.75996 1 793.79 475 .03 267 0.81916 0.76483 728.58 436 .00 . - 268 • 0.81927 0*76494 654.57 391, .71 269 0.82261 < 0.76805 616.93 369 .19 I TABLE 1-9 (CONTINUED) 1-23 | RUN K C REd RED NO. 270 0.82550 0.77075 570.24 341.25 271 0.82652 0.77170 516.78 309.25 ! 272 0.82740 0.77253 465.57 278.61 273 . 0.82761 0.77272 399.35 238.98 • 274 0.82714 0.77229 363.06 217.27 ! 275 0.81616 0.76203 310.06 185.55 j 276 0.82551 . 0.77076 262.79 157.26 : 371 0.79936 0.74634 264.77 158.44 ; 372 0.80518 0.75178 393.26 235.34 373 0.81789 • , 0.76365 530.04 317.19 i 374 0.81749 0.76327 694.17 415.41 ! 375 x 0.81461 0.76058 789.12 472.23 j 376 0.81283 0.75892 925.12 553.62 j ! 636 0.81439 0.76038 694.21 415.44 637 0.81289 0.75898 939.81 562.41 j 638 0.80562 0.75219 1244.45 744.71 j 639 0.79980 0.74676 1458.13 872.58 ! " 640 0.79344 0.74082 1686.63 1009.32 1 641 0.78679 0.73461 1852.85 1108.80 642 0.78450 0.73247 2067.98 1237.54 . 1 643 0.77755 0.72598 2234.86 1337.40 i 644 0.80074 0.74763 1371.66 820.84 j | 699 0.80980• ' 0.75609 • 150.45 90.03 j 699 0.79290 0.74031 . 150.45 90.03 700 0.83938 0.78371 183.52 109.82 • 700 0.80521 0.75181 , 183.52 109.82 701 0.82864 x 0.77369 261.26 156.34 j 701 0.82058 0.76616 261.26 156.34 ! 702 0.82260 0.76805 ; 401.63 240.35 702 0.82682 0.77198 401.63 240.35 703 0.82324 , 0.76864 528.94 316.53 703 0.82115 0.76669 \ 528.94 316.53 | 704 0.82066 0.76623 ' 591.59 354.03 704 0.82046 0.76605 ! 591.59 354.03 L I 70 5 0.81585 0.76174 . 703.20 420.81 j 705""" 0.81349 0.75954 703.20 420.81 I TABLE 1-9 (CONTINUED) 1-21* {. i . . . RUN K C REd RED 1 NO. 706 0.81705 0.76286 815 .48 488.01 • 706 0.81184 0.75799 815 .48 488.01 249 0.81829 0.76340 790 .78 474.53 250 0.82045 0.76541 783 .64 470.24 251 . 0.87115 0.81271 720 .81 432.53 252 0.82062 , 0.76558 678 .25 407.00 253 0.82247 0.76730 659 .32 395.64 254 0.82451 0.76920 632 .24 379.39 255 0.81370 0.75911 584 .31 350.63 256 0.82340 0.76817 572 .58 343.59 257 0.83027 0.77458 518, .79 311.31 258 \ 0.82495 0.76961 470 .81 282.52 259 0.81084 \ ' 0.75645 403 .64 242.21 260 0.81422 0.75960 300 .12 180.09 261 0.81861 0.76370 224 .19 134.53 262 0.7790 2 ' 0.72676 94 .36 56.62 359 0.81410 0.75949 292 .24 175.37 - 359 0.82799 0.77245 292 .24 175.37 360 0.82451 0.76920 395 .50 237.33 360 0.82356 0.76832 395 .50 237.33 361 0.81963 0.76465 541 .28 324.81 361 0.81920 0.76425 541 .28 324.81 363 0.8185 7 • 0.76366 838 .32 503.05 363 . 0.81944 0.76447 838 .32 503.05 366 0.81729 0.76247 812 .77 487.72 366 0.81145 0.75702 812 .77 487.72 367 0.82509 v 0.76974 946 .60 568.03 : 367 0.81386 0.75927 / 946, .60 568.03 368 0.81797 0.76310 , 570 .41 342.29 i 368 0.81251 0.75800 570 .41 342.29 i 369 0.81305 0.75851 462 .13 277.31 370 0.79211 0.73897 \ 298 .06 178.86 i 578 1.07401 1.00196 696 .75 418.10 [ 578 1.15465 1.07720 . 696 .75 418.10 579 1.06722 0o99563 914, .66 548.86 579 1,14944 1.07234 914. .66 548.86 TABLE 1-9 (CONTINUED) RUN K c REd RED NO. 580 1.05007 0 .97963 1256.91 754.23 • 580 1.11011 1. .03564 1256.91 754.23 i 581 1.03642 0 .96690 1535.11 921.18 581 1.09301 - 1 .01969 1535.11 921.18 582 1.02306 0 .95443 1787.14 1072.41 582 1.07882. 1 .00645 1787.14 1072.41 583 1.02144 0 .95292 1886.25 1131.88 583 1.02144 0 .95292 1886.25 1131.88 584 '1.07783 1 .00635 665.98 398.54 584 1.15260 1 .07615 665.98 398.54 585 ' . 1.07791 1 .00642 1082.36 647.71 585 \ 1.13981 1 .06421 1082.36 647.71 586 1.05738 0 .98725 1438.28 860.70 586 1.11272 1. .03892 1438.28 860.70 587 1.04966 0 .98004 1699.67 1017.12 587 1.09720 1 .02443 1699.67 '1017.12 588 1.05283 0 .98300 1949.02 , 1166.34 588 1.08743 1 .01531, 1949.02 1166.34 589 1.03728 0 .96849 2119.11 1268.13 589 1.09437 1 .02179 2119.11 1268.13 590 1.02967 0 ,96138 2300.42 1376.63 590 1.08750 1 .01537 2300.42 1376.63 591 1.04821 0 .97869 1618.57 968.59 591 1.11026 1 .03663 1618.57 968.59 592 1.06753 0 .99673 1058.55 633.47 592 1.12516 1. .05054 , 1058.55 633.47 615 0.80546 >N 0. .75143 778.62 467.22 616 0.81472 0 ,76007 /• . 1083.77 650.34 • 617 , 0.79906 0, .74545' 1327.06 796.33 618 0.79811 0. ,74457 1573.45 944.18 619 0.78803 0, .73517 1777.80 1066.81 620 0.79216 0. ,73903 410.71 246.45 621 0.85034 . 0. 79330 V 537.89 322.77 671 , 0.86647 0. ,80835 230.83 138.51 671 0.80937 ; 0. ,75508 230.83 138.51 672 0.83760 Oi •78142 335.48 201.31 T A B L E 1 - 9 ( C O N T I N U E D ) 1-26 I RUN K C REd RED N O . 5 8 0 1 . 0 5 0 0 7 0 . 9 7 9 6 3 1 2 5 6 . 9 1 7 5 4 . , 2 3 5 8 0 1 . 1 1 0 1 1 1 . 0 3 5 6 4 1 2 5 6 . 9 1 7 5 4 , , 2 3 5 8 1 1 . 0 3 6 4 2 0 . 9 6 6 9 0 1 5 3 5 . 1 1 9 2 1 , , 1 8 5 8 1 1 . 0 9 3 0 1 • 1 . 0 1 9 6 9 1 5 3 5 . 1 1 9 2 1 , , 1 8 5 8 2 . 1 . 0 2 3 0 6 0 . 9 5 4 4 3 1 7 8 7 . 1 4 1 0 7 2 . 4 1 5 8 2 1 . 0 7 8 8 2 1 . 0 0 6 4 5 1 7 8 7 , 1 4 1 0 7 2 , . 4 1 5 8 3 1 . 0 2 1 4 4 0 . 9 5 2 9 2 1 8 8 6 . 2 5 1 1 3 1 , . 8 8 5 8 3 1 . 0 2 1 4 4 0 . 9 5 2 9 2 1 8 8 6 . 2 5 1 1 3 1 . 8 8 5 8 4 1 . 0 7 7 8 3 1 . 0 0 6 3 5 6 6 5 . 9 8 3 9 8 , . 5 4 5 8 4 1 . 1 5 2 6 0 1 . 0 7 6 1 5 6 6 5 . 9 8 3 9 8 , . 5 4 5 8 5 1 . 0 7 7 9 1 ' 1 . 0 0 6 4 2 1 0 8 2 . 3 6 6 4 7 , . 7 1 5 8 5 \, 1 . 1 3 9 8 1 1 . 0 6 4 2 1 1 0 8 2 . . 3 6 6 4 7 , . 7 1 5 8 6 1 . 0 5 7 3 8 0 . 9 8 7 2 5 1 4 3 8 . 2 8 . 8 6 0 , • 7 0 5 8 6 1 . 1 1 2 7 2 1 . 0 3 8 9 2 1 4 3 8 , 2 8 8 6 0 , , 7 0 5 8 7 1 . 0 4 9 6 6 V 0 . 9 8 0 0 4 1 6 9 9 . 6 7 1 0 1 7 , , 1 2 5 8 7 1 . 0 9 7 2 0 1 . 0 2 4 4 3 1 6 9 9 . 6 7 1 0 1 7 . 1 2 5 8 8 1 . 0 5 2 8 3 0 . 9 8 3 0 0 1 9 4 9 , 0 2 1 1 6 6 . 3 4 5 8 8 1 . 0 8 7 4 3 1 . 0 1 5 3 1 1 9 4 9 , . 0 2 1 1 6 6 . 3 4 5 8 9 1 . 0 3 7 2 8 0 . 9 6 8 4 9 2 1 1 9 . 1 1 1 2 6 8 . 1 3 5 8 9 1 . 0 9 4 3 7 1 . 0 2 1 7 9 2 1 1 9 , 1 1 1 2 6 8 , . 1 3 5 9 0 1 . 0 2 9 6 7 • 0 . 9 6 1 3 8 2 3 0 0 , 4 2 1 3 7 6 . 6 3 5 9 0 1 . 0 8 7 5 0 1 . 0 1 5 3 7 2 3 0 0 , . 4 2 1 3 7 6 , . 6 3 5 9 1 1 . 0 4 8 2 1 0 . 9 7 8 6 9 1 6 1 8 . 5 7 9 6 8 . 5 9 5 9 1 1 . 1 1 0 2 6 1 . 0 3 6 6 3 1 6 1 8 . . 5 7 9 6 8 , . 5 9 , 5 9 2 1 . 0 6 7 5 3 0 . 9 9 6 7 3 1 0 5 8 . . 5 5 6 3 3 , , 4 7 5 9 2 1 . 1 2 5 1 6 1 . 0 5 0 5 4 1 0 5 8 . 55 6 3 3 . 4 7 6 1 5 0 . 8 0 5 4 6 , 0 . 7 5 1 4 3 • 7 7 8 , 6 2 4 6 7 , , 2 2 | 6 1 6 0 . 8 1 4 7 2 0 . 7 6 0 0 7 ' : 1 0 8 3 . 7 7 6 5 0 , , 3 4 i 6 1 7 0 . 7 9 9 0 6 0 . 7 4 5 4 5 1 1 3 2 7 , 0 6 7 9 6 , . 3 3 i 6 1 8 0 . 7 9 8 1 1 0 . 7 4 4 5 7 1 5 7 3 . 4 5 9 4 4 , . 1 8 | 6 1 9 0 . 7 8 8 0 3 0 . 7 3 5 1 7 1 7 7 7 . 8 0 1 0 6 6 , . s i -j 6 2 0 0 . 7 9 2 1 6 0 . 7 3 9 0 3 4 1 0 . 7 1 2 4 6 , . 4 5 | 6 2 1 0 . 8 5 0 3 4 0 . 7 9 3 3 0 5 3 7 . 8 9 3 2 2 , , 7 7 6 7 1 0 . 8 6 6 4 7 0 . 8 0 8 3 5 - 2 3 0 . 8 3 1 3 8 , . 5 1 6 7 1 0 . 8 0 9 3 7 0 . 7 5 5 0 8 2 3 0 . 8 3 1 3 8 . , 5 1 6 7 2 0 . 8 3 7 6 0 0 . 7 8 1 4 2 3 3 5 . 4 8 2 0 1 , . 3 1 . j TABLE 1-9 (CONTINUED) 1-27 f RUN K C REd RED ! NO. 672 0.82307 0.7678*6 335.48 201.31 673 0.83937 0.78306 390.84 234.53 673 0.83293 0.77706 390.84 234.53 674 0.82676 0.77130' 417.46 250.51 I 674 0.82522 0.76986 ; 417.46 250.51 675 0.84605 0.78930 501.68 301.04 675 0.83310 0.77721 501.68 301.04 | 676 0.82930 0.77367 516.78 310.11 ! 677 0.80634 0.75225 585.78 351.51 ; 677 0.82638 . 0.77094 585.78 351.51 678 0.82966 - 0.77400 657.07 394.29 i i 1 TABLE 1-10 1-26 J' RESULTS • . I RUN NO. K c . ' REd RED O R I F I C E TYPE S P E C I A L 15 622 0,70271 0.69349 663. .83 266.71 623 .624 625 0.67113 0.69327 0.68742 0.66233 0.68418 0.67840 1581. 650. 860. ,29 ,27 .92 635.33 261.27 345.90 626 627 628 0.68393 0,67216 0.66851 0.67496 0.66335 0.65974 1077, 1368, 1655, ,13 .60 .47 432.77 ! 549.88 665.13 629 630 631 x 0.66401 0.66104 0.65852 0.65530 0.65237' 0.64989 1990, 2269, 2589, .84 ,90 ,79 799.88 i 912.00 1040.52 632 633 634 0.65817 0.65713 0.65864 0.64953 0.64852 0.65000 2899, 2929, 3036, .36 .81 .88 1164.91 ! 1177.14 ! 1220.16 1 635 687 687 0.68355 0.73112 0.71479 0.67458 0.72153 . 0.70542 1025, 149, 149, .32 .87 .87 411.95 60.22 60.22 688 ' 688 689 . 0.71569 0.71717 0.70720• 0.70630 0.70777 0.69792 232, 232, 425, .52 .52 .12 93.42 93.42 170.81 689 690 , 691 0.70360 0.69210 0.68498 0.69437 0.68302 0.67599 425, 647, 826, .12 .13 .78 170.81 260.00 332.19 | 692 692 693 0.67552 v, 0.67822 0.68000 0.66666 0.66933.' 0.67108 1011, 1011, 996, .26 .26 .74 406.30 ! 406.30 ! 400.47 693 694 694 0.68233 0.70733 0.70154' 0.67338 0.69806 0.69234 V 996, 342, 342, .74 .02 .02 400.47 137.42 137.42 695 696 696 0.69590 0.70486 0.7002 7 0.68678 0.69561 0.69109 528, 417, 417, .88 ,87 .87 212.49 167.89 167.89 697 "" 0.71061 0.70129 304, .37 122.29 TABLE 1-10 (CONTINUED) 1 - 2 9 RUN ! NO. K C REd 1 RED 697 0.71120 0.70187 304.37 122.29 TABLE 1-11 RESULTS. RUN NO. K C RE ' RED O R I F I C E TYPE SPECIAL 30 • 1 "645 0.70685 0.69770 679.08 271.98 | 6^6 647 1 648 0.69628 0.68713 0.67637 0.68726 0.67823 0.66762 937.97 1201.92 1438.19 375.67 ' 481.39 ! 576.02 ; j ' 649 650 ! 651 . 0.66948 0.66508 0.65996 0.66081, 0.65647 0.65141 1807.33 2149.35 2549.32 723.87 860.86 1021.05 652 653 654 0.65730 0.65763 • 0.71599 • 0.64878 0.64911 0.70672 2851.29 3198.12 368.64 1141.99 1280.90 147.65 655 656 I 6"79 0.67818 0.68694 0.71365 0.66940 . 0.67804 0.70441 ; 1 3 7 5 . 4 6 1215.86 129.50 550.90 ] 486.97 I 51.87 i 1 6 7 9 680 1 680 0.71054 \ 0.71634 0.71879 0.70134 i 0.70706 ; 0.70949 .' 129.50 299.95 299.95 51.87 120.14 120.14 ! 681 \ 681 ! 681. 0.71548 0.71505 0.71330 0.70622 0.70579 0.70406 • ! 428.84 428.84 428.84 171.76 j 171.76 l 171.76 1 | 682 j 682 683 0.69890 0.71350 0.69991 0.68985 0.70426 ' 0.69084 717.55 717.55 688.49 287.39 287.39 275.75 684 0.72389 0.71451 246.73 98.82 1 TABLE 1-11 (CONTINUED) .. „, 1-30 RUN K C REd RED NO. 684 0.72170 0.71235 246.73 98.82 1 685 0.71954 0.71022 192.75 77.20 0.71945 0.71013 192.75 77.20 ! j 686 0.62820 0.62007 114.36 45.80 i \ 686 0.72351 0.71414 114.36 45.80 I 2-1 APPENDIX 2 - DATA TABLE 2-1 2-2 [ DATA j i RUN WS TI PO PBO PC H u ! NO. 1 1 ORIFICE TYPE STANDARD 1.0 INCH i' 105 380.00 1216.0 0.997926 0.997478 1 .5901 62.590 0.974 106 375.00 1313.0 0.997882 0.997442 1 .5898 52.450 0.969 107 265.00 1027.9 0.997860 0.997394 1 .5895 42.740 0.967 108 270.00 1127.8 0.997895 0.997701 1 .5919 36.520 0.970 109 286.00 .1267.0 0.997915 0.997701 1 .5919 32.440 0.973 110 300.00 1438.0 0.997981 0.997655 1 .5915 27.760 0.980 111 245.00 1286.4 0.997992 0.997597 1 .5911 22.970 0.981 112 2"30V00 • 1326.6 0.997926 0". 997585 1 .5910 19.040 0.974 113 220.00 1421.8 0.997915 0.997538 1 .5906 15.030 0.973 | 114 215.00 1575.6 0.997886 0.997490 1 .5902 11.640 0.97C { 115 188.00 1584.6 0.997871 0.997454 1 .5900 8.750 0.969 116 169.00 1644.0 0.997882 0.997430 1 .5898 6.495 0.969 117 175.00 1912.0 0.997538 0.997369 1 .5893 5.069 0.936 118 117.00 1375.2 0.997442 0.997246 1 .5884 3.884 0.928 131 235.00 733.2 1.041800 1.042260 1 .5940 51.860 32.090 i 132 240.00 783.5 1.041810 1.042220 1 .5937 47.280 31 .820 I I 3 3 240.00 788.1 1.041740 1.041980 1 .5932 46.660 31.600 134 220.00 782.1 1.041700 1.041920 1 .5926 40*660 31.280 135 255.00 991.4 1.041700 1.041620 1 .5921 33.040 31.020 136 255.00 1114.0 1.041600 1.041410 1 .5909 25.970 30.420 137 232.00 1108.4 1.041560 1 .041450 1 .5893 21.620 29.540 138 233.00 1314.6 1.041550 1.041420 1 .5910 15.410 30.420 139 181.00 • 1165.9 1.041520 1.041420 1 .5907 11.820 30.240 140 175.00 1308.2 1.042950 1.042700 1 .5918 8.640 33.700 141 137.00 1207.4 1.042920 ' "1.042500 1 .5913 6.250 33.650 142 93.00 1251.0 1.042950 1.042720 1 .5921 . 2.770 ,3 3". 6 50 143 66.00 1727.2 1.042920 1.042730 1 .5919 0.820 ,'33.670 505 190.00 1165.2 1.030930 1.031130 1 .5945 13.090 16.800 506 190.00 1165.2 1.030930 1.031130 0 .0000 7.250 16.800 506 163.00 967.8 1.030920 1.030950 1 .5931 14.070 16.680; 506 163.00 967,8 1.030920 1.030950 0 • 0000 7.830 16.680 507 170.00 749.4 1.030930 1.031030 1 .5931 26.200 16.630 i TABLE 2 - 1 (CONTINUED) 2-3 i RUN WS TI PO PBO PC H u I ; NO. i 507 170.00 749 .4 1 .030930 I .031030 0 .0000 14.430 1 6 . 6 3 0 ' 508 200.00 610.2 1 .030890 1 .030990 0 .0000 31.110 16.520 , 508 200.00 610.2 1 .030890 1 .030990 13.5416 2.513 16.520i 509 230.00 519.8 1 .030880 1 .030950 0.0000 58.630 16 .370! 509 230.00 519.8 1 .030880 ' 1 .030950 13.5412 4.760 16.3701 "5 16" 275.00 485 .8 ! ."030880 f .03 0920 "6 .0000 98.780 1673 40" 510 275.00 485 .8 l .030880 1 .030920 13.5408 8.040 16.340-' 511 300.00 4 6 1 . 9 1.030850 1 .030990 0.0000 131.480 1 6 . 2 6 0 ; 511 300.00 . 4 6 1 . 9 1 .030850 1 .030990 13.5409 10.697 16.260 1 512 285 .00 381.3 1 .030820 1 .031050 13.5413 14.460 16.220; 513 300 .00 356.4 1 .030800 1 .031130 13.5416 18.550 16.170; 514 3 0 0 . 0 0 \ 317.8 1 .030800 1 .031220 13.5419 23.660 16.150i 515 300 .00 289 .9 1 .030790 1 .031220 13.5420 28.800 16.100' TABLE 2 -2 L DATA RUN NO. WS TI PO PBO PC H U ORIFICE TYPE 87 STANDARD 1.5 INCH 3_60j.00_ 88 385.00 89 390.00 90 _360.00 "91" 390.00" 92 93 4 0 0 . 0 0 365.00 94 340.00 95 375.00 96 335.00 97 325.00 5 5 6 . 8 , 0.997952 0.997970 1.5939 51.630 0.976 634.5 690 .4 684 .2 "8 3174" 950 .6 978 .8 0.997992 0.998004 0_.9979 70_ "6 .998067 0.998172 0.998224 0.997992 1.5941 0.997701 1.5919 0.997802 1_.5927_ 0.99"784~8 1.59 31 0.997893 1.5935 0.997882 1.5934 1019,4 1231.4 1230.6_ 131674 0.998203 0.998244 0.998265 "07998 2 65"' 0 .997893 1 . 0.997860 1 . 0.997792 1 . 5935 5932 5927 "6 • 997800 1 • 5928" 45 .400 39.390 _34j_100_ 26.970 21.590 _L6^870_ 13.500 11.250 _8_.980_ 7 .T30 .981, . 9 8 3 ! .979| "."98 9"; . 0 0 1 ! .008! .005 .0.10 .012 76'i 2 i 1 I TABLE 2-2 (CONTINUED) 2-U I I ! RUN WS TI PO PBO PC H ' U I L N 0 « i ! 98 320.00 1283.4 0. ,998120 0". ,997770 1 .5925 8 .512 ! 0.995! j 99 165.00 "679.9 0. ,998078 o, ,997724 1 .5921 7 .121 0.991 fTOO 315.00 1546.8 0, ,997747 o. ,997561 1 .5908 4 .968 0.956 j 101 300.00 1564.2 0. ,997882 0. ,997608 1 .5912 4. .403 0.969 j (102 275,00 1659.2 0. 997904 0. ,997597 1 .5911 3 .242 0.972 ! 1103 340.00 2 524". 8 "6", "997882 0< ,"997573 1 .5909 2. , 100 0.972 i 104 193.00 2114.0 0« ,997882 0, ,997514 1 .5904 0< .910 0.969 1 151 290.50 390.5 1. 042700 1, ,042680 1 .5916 54 ,600 33.340 ' 152 330.00 474.6 1. ,042800 1. ,042720 1 .5916 47« ,450 33.250 ,' 153 345.00 540.8 1. 042780 1. ,042700 1 .5908 39 .670 33.130 j 154 350.00 585.2 1. 042820 1. ,042700 1 .5905 34 .650 33.070 i "155" 350.00 648.8 i . 042890 i~. ,"042826 f .5903 27i . 950 33".040 : 156 315.25 674.6 i. 042960 l. ,042850 1 .5902 20 .790 32.840 | 157 355.00 872.6• I. .043020 l i ,042900 1 .5903 15 .640 32.750 i 158 275.00 780.0 I. 043000 l . ,042980 1 .5902 H i , 620 32.770 i 159 245.00 792.8 l . 043050 l . ,043060 1 .5902 8 .920 32.690 j 160 290.00 1148.6 I. 043160 • l . ,043170 1 .5903 5. .930 32.760 ! 161 195.00 1082.0 I. 043250 . l , 043240 1 .5902 3 .030 32.810 • 162 140.00 1191.9 I. 043380 i< ,043340 1 .5901 1< .330 32.920 | 522 248.00 798.4 I. 031890 l . .031950 1 .5951 9. . 130 17.400 I 522 248.00 798.4 I. 031890 l . ,031950 0 .0000 5 .028 17.4001 523 235.00 694.2 l , ,031650 i i .031960 1 .5949 11 .050 16.950 523 235.00 694.2 I. ,031650 l , .031960 0 .0000 6 .135 16.950 1 "524~ 310.00 6"71.4 I, .031500 i i .031980 1 .5946 21 ."180 1~6.850 524 310.00 671.4 l . 031500 i i ,031980 0 .0000 11. ,690 16.850 L525 285.00 430.6 I. 031220 i i ,031880 1 .5943 44. ,200 16.500 i 1 525 285.00 430.6 l . 031220 l . ,031880 0 .0000 24i ,940 16.500 i 526 335.00 405.5 I. 031210 l . .031850 0 .0000 39. ,790 16.460 1 526 335.00 405.5 I. 031210 i . ,031850 13 .5433 3. , 270 16.460 1 "527 320.00 323.5 "1. 031090 l . .031800 0 .0000 58. ,210 16.290 ! 528 310.00 268.8 I. 031010 i i .031800 0 .0000 80. .280 16.200 j 528 310.00 268.8 l . 031010 i i ,031800 13 .5429 6. ,540 16.200 1 1529 340.00 259.8 I. 030900 l . .031770 0 .0000 104, ,750 16.020! 529 340.00 259.8 I. 030900 l . ,031770 13 .5423 8. .475 16.020 ;-530 330.00 227.6 I. 031020 l . 031730 0 .0000 129. ,900 16.160 | "530 330.00 227.6 l . 031020 I- 031730 13 .5420 10. ,590 16.1601 TABLE 2-3 j DATA j RUN WS TI PO . PBO PC H U I ; NO, i i i O R I F I C E TYPE STANDARD 2.0 INCH 119 330. ,00 330.6 0. ,998035 0.998110 1.5953 44. ,930 0.986 | 120 360. ,00 391.1 b, '9978T5" 6.99'8029 1 .5947 38 .020 0.962 121 375, 00 445.5 0, ,997724 0.997992 1.5943 32, ,110 0.954 122 370, 00 484.0 0, 997718 0.997926 1.5941 26. , 130 0.952 123 375, 00 590.6 0, 997701 0.997915 1.5937 18, ,020 0.951 124 400, ,00 732.6 0, 997655 0.997849 1 .5931 13. ,280 0.947 125 360, ,00 763.2 0, ,997632 0.997792 1.5927 9. ,870 0.945 "126" 3 50, 00. 809.3 0~, 9975*95" 0.997692 1.5921 7 ,312 0.942 127 400, ,00 1098.6 • 0, 997573 0.997514 1.5907 5. ,890 0.939 128 315. 00 980.0 o. 997561 0.997550 1.5907 4, ,550 0.939 129 285, 00 1020.6 0, 997573 0.997490 1 .5902 3. ,414 0.939. 130 298, ,00 1468.2 0, ,997573 0.997490 1.5902 - 1. ,756 0.939 144 335, 00 292.2 •1. 042380 1.042620 1.5897 49. • 080 32.340 145 335, 40 322.8 1, 042400 1.041890 1.5895 39, ,870 32.380 146 375. 00 404,4 1. 042350 1.042100 1 .5894 31, ,370 32.280 1 147 325, 00 389.2 1, 042350 1.042000 1.5889 25. , 190 32.290 { 330, 00 437,8 1. 042300 . 1.042000 1.5889 20. ,320 32.190 149 325. 00 778.8 1. 042300 1.041900 1 .5886 16. ,410 32.190 150 290, 00 495.0 1. 042350 1.041900 1.5889 12. ,060 32.290 151 305, 00™ 5 9 6 . 2 " " T . "042450" f". 0419 20 1 .5882 9. .05*0" 32 ."550 152 360. 00 776.4 1. 042160 1.041960 1 .5894 7. ,420 31 .840 153 345. 00 865.5 1. 042300 1.041960 1.5887 5, ,450 32.180 154 245, 00 865.2 1. 042360 1.042000 1.5887 2, ,020 32.360 155 120. 00 992.5 1, 042920 1.042180 1.5896 0< .774 33.760 516 270, 00 586.8 1. 030810 1.031220 0.0000 4, ,287 16.140, " 51 7" 305. o b " 415.2 r . 030800" 17031300™ 1.5925 20. ,400 16.000 517 305. 00 415.2 1. 030800 1.031300 0.0000 11. 280 16.000 I 518 360. 00 375.0 1. 030810 1.031380 1.5928 35. 680 16.090 360, 00 375.0 1. 030810 1 .031380 0.0000 19, 660 16.090 1 519 365. 00 277.4 1. 030840 1.031400 0.0000 37. 950 16.110' 519 365. 00 277.4 1. 030840 1.031400 13.5416 3. 065 16. n o ! ^ 5 2 0 " 350. bo " 2 1 9 T l " . 1. 030810" f . 0 3 1 4 5 0 " 0.0000 56. 900 16.100 TABLE 2-3 (CONTINUED) 2-6 ; RUN WS TI PO PBO PC H U : NO. \ 520 350.00 219.1 1.030810 1.031450 13.5417 4.640 16.100 \ 521 210.00 217.6 1.030910 1.031560 0.0000 19.950 16.200 I TABLE 2-4 J ! RUN WS TI PO PBO PC H • • U NO. O R I F I C E TYPE SHARP 1.0 INCH 16 295.00 1019.5 0.997442 0.997585 1.5909 51.048 0.948 17 280.25 1008.7 0.997369 0.997970 1.5941 48.400 0.921 \ 18 275.00 1071.5 0.997394 0.997992 1.5943 41.400 0.924 1 1 9 275.00 1049.6 0.997271 0.997678 1.5917 43.223 0.922 ! 20 255.00 1064.4 0.997146 0.997418 1.5897 36.183 0.902 21 280.00 113679 0.997146 0.997246 1.5884 38.383 0.902 22 250.00 1119.9 0.997120 0.997196 1.5800 31.507 0.900 1 23 230.00 1145.9 0.997146 0.997171 1.5765 25.360 0.902 24 210.00 1130.7 0.997120 0.997146 1.5765 21.685 0.900 25 200.00 1176.2 0.997221 0.997120 1.5745 18.170 0.909 26 160.00 1052.0 0.997992 0.997171 1.5780 14.573 0.914 r~65~ 240.00 1663.8 0 ."99*8244 0.997345 1.5891 12.792 1.100 [ 66 205.00 1684.3 0.998162 0.998345 1.5975 9.945 1.000 f 67 260.00 2264.0 0.998224 0.998424 1.5982 8 .063 1.078 68 210.00 2046.3 0.998405 0.998244 1.5979 6.371 1. 100 ! 69 170.00 1927.1 0.998078 0.998305 1.5971 4.649 0.991 1 70 130.00 1717.1 0.997948 0.998224 1.5964 3.395 0.976 f 71 100.00 194979 07998120 0.998203 1.5962 1.526 0.996 I 7 2 90.00 2786.4 0.997837 0.998141 1.5956 0.617 0.96 5 < 163 265.00 858.0 1.042680 1.042390 1.5874 52.860 32.780 | 164 290.00 1020.4 1.042750 1.042580 1.5878 44.810 32.800 I 165 248.00 938.5 1.042960 1.042780 1.5880 38.530 32.830- 166 258.00 1087.0 1.042920 1.042860 1.5882 30.880 32.860; 167 i i 250.00 1208.0 1.043110 1.043000 1.5883 23.150 32.930 TABLE 2-4 (CONTINUED) Z1-!{ — f RUN WS • TI PO PBO PC H U : NO. | 168 210.00 1243.4 1.043250 i . 0 4 3 1 5 0 1 .5883 15.170 32.930 • 169 180.00 1191.6 1.043420 1.043280 1 .5884 12.130 32.990 [ 170 180.00 1356.5 1.043410 1.043180 1 .5878 9. 160 32.750 | 172 132.00 1306.2 1.042700 1.042500 1 .5858 5.280 31.600 t 173 230.00 2718.2 1.042900 1.042590 ' 1 .5858 3.540 31.980 Pi 7 4 85.00 1877.8 1.042980 1.042590 1 .5852 1 .000 .31.9~30~ 537 89.00 756.4 1.031400 1.031320 1 .5926 7.450 17.450 537 89.00 756.4 1.031400 1.031320 0 .0000 4.075 17.450 538 122.00 649.7 1.031250 1.031270 1 .5939 19.440 17.200 538 122.00 649.7 1.031250 1.031270 0 .0000 10.680 17.200 539 179.00 676.3 1.031210 1.031800 1 .5915 39.660 17.100 539 179.00 676.3 1.031210 1."0 3" 18 00 0 .0000 21.716 17.100 540 199.00 . 583.7 1.031180 1.031220 0 .0000 36.400 17.000 540 199.00 583.7 .1.031180 1.031220 13 .5400 2.950 17.000 541 244.00 567.7 1.031100 1.031100 0 .0000 58.390 16.840 541 244.CO 567.7 1.031100 1.031100 13 .5395 4.725 16.840 542 245.00 479.4 1.031120 1.031110 0 .0000 83.080 16.860 542 "245.00 479.4 1.031120 f.03'llT0 -y 3-.5391 6.750 16 . 860 543 293.00 494.9 1.031070 1.031080 0 .0000 112.320 16.750 543 293.00 494.9 1.031070 1.031080 13 .5390 9.195 16.750' 544 295.00 446.7 1.031010 1.030980 13 .5384 11.470 16.700 545 303.00 398.3 1.031060 1.031100 13 .5390 15.400 •16.720; 546 285.00 335.0 1.031050 1.031210 13 .5398 19.240 16.730 "547 280.00 292.6 1.031020 1.03X280 "13" .5401 .24.400 16.680, 548 275.00 , 257.9 1.030980 1.031310 13 .5402 30.420 16.630, TABLE 2 - 5 DATA RUN WS T i PO PBO PC H U . ; NO. i sORIFICE TYPE SHARP 1 . 5 INCH • ! 3 7 2 9 0 . 0 0 4 8 8 . 4 0 . 9 9 7 1 9 6 0 . 9 9 7 1 4 6 _ 1 . 5 7 6 5 4 4 . . 3 7 6 0 . 9 1 7 | 3 8 3 1 5 . 0 0 5 6 0 . 7 0 . " 9 9 7 0 6 9 0 T 9 9 7 3 4 5 1 . 5 8 9 1 39< . 8 5 5 0 . 8 9 6 I 3 9 3 2 5 . 0 0 6 1 2 . 0 o . 9 9 7 1 0 5 0 . 9 9 7 2 9 6 1 . 5 8 8 8 3 5 . , 3 5 2 0 . 8 9 9 i 4 0 2 7 0 . 0 0 5 3 8 . 1 o . 9 9 7 0 6 9 0 . 9 9 7 2 9 6 1 . 5 8 8 8 3 1 . , 6 1 5 0 . 8 9 6 1 Z f l 2 8 0 . 0 0 6 1 3 . 6 0 . 9 9 7 0 1 8 0 . 9 9 7 2 4 6 1 . 5 8 8 2 2 6 . , 7 8 2 0 . 8 9 2 | 4 2 2 5 0 . 0 0 5 9 5 . 7 0 . 9 9 7 0 1 8 0 . 9 9 7 2 4 6 1 . 5 8 8 2 2 2 . , 1 8 7 0 . 8 9 2 i 4 3 _ 2 4 5 . 0 0 6 5 2 . 5 0 . 9 9 7 1 4 6 0 . 9 9 7 3 9 4 1 . 5 8 9 5 1 7 . , 6 7 0 0 . 9 0 2 | 4 4 2 5 0 . 0 0 . 7 2 4 . 0 0 . 9 9 7 2 9 6 0 . 9 9 7 4 9 0 1 . 5 9 0 2 1 4 , , 8 9 4 0 . 9 1 4 4 5 2 3 5 . 0 0 7 4 7 . 8 0 . 9 9 7 3 6 9 0 . 9 9 7 5 1 4 1 . 5 9 0 4 1 2 -,313 0 . 9 2 1 | 4 6 2 9 0 . 0 0 9 4 1 . 8 0 . 9 9 7 2 2 1 0 . 9 9 7 5 3 8 1 . 5 9 0 6 1 1 . , 9 4 0 0 . 9 0 9 f 4 7 2 6 5 . 0 0 8 9 0 . 5 o . 9 9 7 0 4 4 0 . 9 9 7 3 4 5 1 . 5 8 9 1 1 1 . , 1 0 2 0 . 8 9 4 4 8 2 8 5 . 0 0 1 0 0 8 . 7 O i 9 9 7 1 2 0 0 . 9 9 7 2 7 1 1 . 5 8 8 6 9 , , 9 6 8 0 . 9 0 C 4 9 2 9 0 . 0 0 1 0 6 5 . 8 0 . 9 9 7 0 9 5 0 . 9 9 7 5 3 8 1 . 5 9 0 6 9 , , 1 5 6 0 . 8 9 8 5 0 2 2 5 . 0 0 8 7 9 . 8 o . 9 9 7 2 7 1 0 . 9 9 7 7 2 4 1 . 5 9 2 1 8 . , 0 6 5 0 . 9 1 3 5 1 2 6 5 . 0 0 1 1 3 1 . 7 o . 9 9 7 3 6 9 0 . 9 9 7 4 9 0 1 . 5 9 0 2 6 , , 7 7 4 0 . 9 2 1 t 5 2 2 3 5 . 0 0 1 0 6 2 . 8 0 . 9 9 7 3 2 0 0 . 9 9 7 7 0 1 1 . 5 9 1 9 6 , , 0 1 8 0 . 9 1 1 1 5 3 2 4 0 . 0 0 1 1 8 9 . 3 0 . 9 9 7 3 2 0 0 . 9 9 7 5 3 8 1 . 5 9 0 6 5 . , 0 5 0 0 . 9 1 1 ' 5 4 2 2 5 . 0 0 1 2 8 3 . 9 0 . 9 9 7 1 4 6 0 . 9 9 7 7 2 4 1 . 5 9 2 1 3< , 7 4 8 • 0 . 9 0 2 5 5 2 0 0 . 0 0 1 3 4 6 . 6 0 . 9 9 7 2 7 1 0 . 9 9 7 7 2 4 1 . 5 9 2 1 2 . 6 5 0 0 . 9 1 2 "56 1 9 0 . 0 0 1 7 7 5 . 5 0 . " 9 9 7 2 4 6 0 . 9 9 7 1 2 0 1 . 5 8 7 4 1 , , 3 4 5 0 . 9 1 C 5 7 1 2 9 . 0 0 1 9 7 7 . 7 0 . 9 9 7 3 2 0 0 . 9 9 7 3 2 0 1 . 5 8 8 9 0, , 4 9 6 0 . 9 1 1 1 8 4 3 7 5 . 0 0 5 3 9 . 8 1 . 0 4 2 9 0 0 1 . 0 4 3 1 2 0 1 . 5 8 9 0 5 4 . , 7 0 0 3 2 . 2 8 C 1 8 5 3 8 5 . 0 0 7 0 7 . 0 • 1 . 0 4 2 9 0 0 1 . 0 4 3 0 9 0 1 . 5 8 8 8 3 2 , , 9 8 0 3 2 . 2 2 C 1 8 6 3 6 0 . 0 0 5 6 2 . 4 1 . 0 4 3 0 4 0 1 . 0 4 3 0 9 0 1 . 5 8 8 9 4 6 , , 2 2 0 3 2 . 6 9 C 1 8 7 3 1 0 . 0 0 5 1 2 . 4 1 . 0 4 2 8 5 0 1 . 0 4 3 1 9 0 1 . 5 8 9 1 4 1 . , 3 3 0 3 2 . 1 2 C 1 8 8 3 6 5 . 0 0 7 3 5 . 8 i " . 0 4 2 8 2 0 1 . 0 4 3 1 7 0 1 . 5 8 9 1 2 7 . , 3 6 0 3 2 . 0 2 C |. 1 8 9 4 1 5 . 0 0 9 6 4 . 6 1 . 0 4 2 7 8 0 1 . 0 4 3 0 8 0 1 . 5 8 8 7 2 0 , , 4 1 0 3 1 . 9 7 C 1 9 0 3 9 5 . 0 0 1 0 3 8 . 6 1 . 0 4 2 7 9 0 1 . 0 4 3 0 8 0 1 . 5 8 8 6 1 5 , . 7 5 0 3 1 . 9 0 C I 191 3 4 5 . 0 0 1 0 4 5 . 4 1 . 0 4 2 2 7 0 1 . 0 4 2 9 0 0 1 . 5 8 7 7 1 1 . , 7 7 0 3 0 . 6 1 C ! 1 9 2 3 3 5 . 0 0 1 1 4 6 . 0 1 . 0 4 2 4 4 0 1 . 0 4 2 7 6 0 1 . 5 8 7 2 9 , • 1 2 0 3 1 . 0 0 0 1 1 9 3 2 5 0 . 0 0 9 5 2 . 6 1 . 0 4 2 5 2 0 1 . 0 4 3 4 6 0 1 . 5 9 0 1 7 , , 3 4 0 3 1 . 2 6 C f 1 9 4 2 0 5 . 0 0 9 6 9 . 4 I i 0 4 2 5 4 0 1 . 0 4 2 7 8 0 1 . 5 8 6 3 4 , 6 6 5 3 1 . 3 5 C TABLE 2 - 5 (CONTINUED) i 2-9 : RUN WS TI PO PBO PC H U | '• NO, i 1 9 5 1 3 5 , 0 0 1 0 8 8 . 4 1 . 0 4 2 5 7 0 1 . 0 4 2 4 5 0 1 . 5 8 5 7 1 . 5 7 0 3 1 . 4 1 0 5 5 7 1 6 5 . 0 0 5 6 2 . 8 1 . 0 3 1 0 8 0 1 . 0 3 1 4 0 0 1 . 5 9 1 6 9 . 5 0 0 1 6 . 6 7 0 ! 5 5 7 1 6 5 , 0 0 5 6 2 . 8 1 . 0 3 1 0 8 0 1 . 0 3 1 4 0 0 0 . 0 0 0 0 5 . 2 4 0 1 6 . 6 7 0 5 5 8 2 3 0 . 0 0 5 3 0 . 5 1 . 0 3 1 0 6 0 1 . 0 3 1 4 2 0 1 . 5 9 1 5 2 0 . 9 6 0 1 6 . 6 2 0 , 1 5 5 8 2 3 0 . 0 0 5 3 0 . 5 1 . 0 3 1 0 6 0 1 . 0 3 1 4 2 0 0 . 0 0 0 0 1 1 . 5 7 0 1 6 . 6 2 0 f 5 5 9 " 2 7 5 . 0 0 4 9 8 . 6 " l . 0 3 1 0 8 6 " 1 , 6" 3~142"6" l". 5 9 1 5 3 4 . 3 3 0 1 6 . 6 3 0 | 5 5 9 2 7 5 . 0 0 4 9 8 . 6 1 , 0 3 1 0 8 0 1 . 0 3 1 4 2 0 0 . 0 0 0 0 1 8 . 8 7 8 1 6 . 6 3 0 [_560 3 0 5 . 0 0 4 1 0 . 5 1 . 0 3 1 1 2 0 1 , 0 3 1 4 5 0 0 . 0 0 0 0 3 4 . 8 1 0 1 6 . 6 7 0 I 5 6 0 3 0 5 . 0 0 4 1 0 . 5 1 . 0 3 1 1 2 0 1 . 0 3 1 4 5 0 1 3 . 5 4 0 1 2 . 8 5 0 1 6 . 6 7 0 1 5 6 1 3 7 0 . 0 0 4 3 8 . 1 1 . 0 3 1 0 5 0 1 . 0 3 1 4 8 0 0 . 0 0 0 0 4 5 . 3 1 0 1 6 . 5 7 0 I 5 6 1 3 7 0 . 0 0 4 3 8 . 1 1 . 0 3 1 0 5 0 1 . 0 3 1 4 8 0 1 3 . 5 4 0 2 3 . 6 9 0 1 6 . 5 7 0 5 6 2 ~ 2 9 5 , 0 0 3 0 3 . 3 1 . 0 3 1 0 7 0 1 . 0 3 1 5 1 0 0 . 0 0 0 0 6 0 * 3 8 0 1 6 . 5 8 0 5 6 2 2 9 5 . 0 0 3 0 3 . 3 1 . 0 3 1 0 7 0 1 . 0 3 1 5 1 0 1 3 . 5 4 0 6 4 . 9 8 0 1 6 . 5 8 0 ' ! 5 6 3 3 0 0 . 0 0 2 6 8 . 8 1 . 0 3 1 0 9 0 1 . 0 3 1 5 2 0 0 . 0 0 0 0 7 9 . 6 2 0 1 6 . 6 0 0 1 i 5 6 3 3 0 0 . 0 0 2 6 8 . 8 1 . 0 3 1 0 9 0 1 . 0 3 1 5 2 0 1 3 . 5 4 0 8 6 . 5 0 0 1 6 . 6 0 0 5 6 4 3 0 0 . 0 0 2 3 0 . 0 1 . 0 3 1 1 0 0 1 . 0 3 1 5 9 0 0 . 0 0 0 0 1 0 9 . 3 5 0 1 6 . 6 1 0 5 6 4 3 0 0 . 0 0 • 2 3 0 . 0 1 . 0 3 1 1 0 0 1 . 0 3 1 5 9 0 1 3 . 5 4 1 1 8 . 8 8 0 1 6 . 6 1 0 5 6 5 3 0 b'i » 0 0 2 1 1 , 3 1 . 0 3 1 0 8 0 1 . 0 3 1 6 4 0 0 . 0 0 0 0 1 2 8 . 6 3 0 1 6 . 5 6 0 5 6 5 3 0 0 . 0 0 2 1 1 . 3 1 . 0 3 1 0 8 0 1 . 0 3 1 6 4 0 1 3 . 5 4 1 1 1 0 . 5 0 0 1 6 . 5 6 0 , TABLE 2 - 6 I ! DATA / j / | ' RUN WS NO. TI ' PO PBO PC H U J ORTF ICE"T Y P E SHARP 2 . 0 - I N C H i i j 7 3 2 6 5 . 0 0 2 5 4 . 8 0 . 9 9 7 7 9 2 0 . 9 9 8 0 3 5 1 . 5 9 4 7 4 8 . 1 9 0 0 . 9 6 0 ] 7 4 3 5 0 . 0 0 ! 7 5 3 8 5 . 0 0 7 6 3 8 5 . 0 0 3 6 1 . 8 4 2 4 . 4 4 6 5 . 6 0 . 9 9 7 9 1 5 0 . 9 9 7 8 2 1 0 . 9 9 7 7 5 9 0 . 9 9 7 9 4 8 0 . 9 9 7 8 1 5 0 . 9 9 7 9 1 8 1 . 5 9 4 0 1 . 5 9 2 8 1 . 5 9 3 7 4 1 . 3 6 . 3 0 . 6 5 0 7 1 2 5 5 0 0 . 9 7 3 0 . 9 6 1 - 0 . 9 5 7 ; " 7 7 " 3 9 0 V 0 0 " '5 0 9 . 7 6 • 9 9 7 9 2 6 6 . 9 9 7 6 6 6 " 1 . 5 9 1 6 2 6 . 0 0 0 0 . 9 7 4 TABLE 2 - 6 (CONTINUED) 2 -10 RUN WS TI PO PBO PC H U [NO^ ; 78 ' 3 8 0 o 0 0 5 5 4 . 4 0 , 9 9 8 0 4 5 0". 99 78 26 1 . 5 9 3 0 2 1 . , 0 1 0 0 . 9 8 7 ' j 79 3 8 5 . 0 0 ' 6 4 6 . 2 0 . 9 9 3 1 9 3 0 . 9 9 7 8 2 6 1 . 5 9 3 0 1 5 , • 730 1 . 0 0 3 | 80 3 9 0 . 0 0 7 6 3 , 8 0 , 9 9 8 1 8 3 0 . 9 9 7 8 2 6 1 . 5 9 3 0 1 1 . • 510 1 . 0 0 2 ' 1 81 3 8 5 . 0 0 8 2 5 , 2 0 . 9 9 8 1 3 0 0 . 9 9 7 7 3 5 1 . 5 9 2 2 9 . • 6 0 0 0 . 9 9 4 : \ 82 3 7 0 . 0 0 9 1 1 , 8 0 . 9 9 8 0 6 7 0 . 9 9 7 8 0 4 1 . 5 9 2 7 7 . • 230 0 . 9 8 9 ! f " 8 3 " 3 7 0 . 0 0 10 2 3 . 2 " 6."99 8 0 4 5 0 . 9 9 7 6 4 4 1 . 5 9 1 4 5 . 7 4 2 ; 0 . 9 8 7 j | 84 3 6 0 . 0 0 1 2 7 0 . 6 0 . 9 9 7 9 0 4 0 . 9 9 7 6 1 8 1 . 5 9 1 1 3 . 5 4 6 0 . 9 7 2 j | 85 2 6 0 . 0 0 1 2 2 9 . 6 0 . 9 9 7 8 8 6 0 . 9 9 7 6 1 8 1 . 5 9 1 1 ' 1 . 9 2 9 0 . 9 7 0 ' 86 2 8 0 . 0 0 1 6 5 0 . 2 0 . 9 9 7 8 8 6 0 . 9 9 7 6 4 4 1 . 5 9 1 3 1« . 2 1 2 0 . 9 7 0 ; 172 3 2 0 . 0 0 2 6 7 , 0 1 . 0 4 1 5 7 0 1 . 0 4 1 7 8 0 1 . 5 8 6 0 5 9 . . 150 3 0 . 7 8 0 i 1 173 3 2 0 . 0 0 2 8 3 . 4 1 . 0 4 1 6 0 0 1 . 0 4 1 8 4 0 1 . 5 8 6 2 5 2 . , 190 3 0 . 8 1 0 ' fl '74 3 6 5 . 0 0 3 5 1 , 3 1 . 0 4 1 9 2 0 1 , 0 4 1 6 0 0 1 . 5 8 5 0 44 • 160 3 2 . 5 5 0 175 3 6 0 . 0 0 3 7 6 . 8 1 . 0 4 1 9 2 0 1 . 0 4 1 5 7 0 1 . 5 8 4 8 3 7 . • 210 3 1 . 4 5 0 i : 176 3 9 0 . 0 0 4 7 3 . 4 1 . 0 4 1 9 5 0 1 . 0 4 1 5 8 0 1 . 5 8 4 7 27< • 4 0 0 3 1 . 4 6 0 i ] 177 3 5 0 . 0 0 5 0 1 . 0 1 . 0 4 1 9 8 0 1 . 0 4 1 6 7 0 1 . 5 8 5 0 1 9 . , 5 8 0 3 1 . 4 7 0 ; 178 3 4 5 . 0 0 5 8 9 . 8 1 . 0 4 1 9 0 0 1 . 0 4 1 7 0 0 1 . 5 8 5 2 1 3 , , 4 6 0 3 1 . 2 7 0 | 179 3 2 0 . 0 0 6 2 7 . 9 1 . 0 4 1 9 1 0 1 . 0 4 1 7 0 0 1 . 5 8 5 1 10 • 120 3 1 . 2 8 0 j "180 2 4 0 . 0 0 5 2 6 . 1 1 . 0 4 1 5 1 0 1 . 0 4 1 7 5 0 1 . 5 8 5 2 8 . , 0 6 0 3 0 . 2 4 0 181 3 5 0 . 0 0 9 0 8 . 6 1 . 0 4 1 7 6 0 1 . 0 4 1 6 7 0 1 . 5 8 4 8 5 . , 6 4 0 3 0 . 8 0 0 ! I 182 2 7 5 . 0 0 1 0 0 2 . 2 1 . 0 4 1 6 1 0 1 . 0 4 1 5 3 0 1 . 5 8 4 2 2 . 8 9 0 3 1 . 0 1 0 ; t 183 2 5 5 . 0 0 1 3 6 6 . 2 1 . 0 4 1 9 3 0 1 . 0 4 1 6 1 0 1 . 5 8 4 0 1 . 330 3 1 . 1 9 0 ; | 549 2 6 0 . 0 0 6 3 6 . 4 1 . 0 3 0 9 1 0 1 . 0 3 1 3 8 0 1 . 5 9 2 2 6 . , 5 6 0 1 6 . 5 0 0 | [550 2 9 5 . 0 0 4 9 6 . 0 1 . 0 3 0 9 3 0 - 1 . 0 3 1 3 2 0 1 . 5 9 1 8 1 4 . , 2 1 0 1 6 . 5 1 0 ' 550 2 9 5 . 0 0 4 9 6 . 0 1 . 0 3 0 9 3 0 1 . 0 3 1 3 2 0 0 . 0 0 0 0 < 7 , ,'816™ 1 6 . 510 j 549 2 6 0 . 0 0 6 3 6 . 4 1 . 0 3 0 9 1 0 1 . 0 3 1 3 8 0 0 . 0 0 0 0 . 3 . , 6 5 6 1 6 . 5 0 0 ! 551 3 5 5 . 0 0 4 6 2 . 4 1 . 0 3 0 9 0 0 1 . 0 3 1 3 0 0 1 . 5 9 1 7 2 3 . 890 1 6 . 4 4 0 ! i 5 5 1 3 5 5 . 0 0 4 6 2 . 4 1 . 0 3 0 9 0 0 1 . 0 3 1 3 0 0 0 . 0 0 0 0 1 3 . 120 1 6 . 4 4 0 : ! 552 3 5 0 . 0 0 3 7 3 . 9 1 . 0 3 0 9 7 0 1 . 0 3 1 4 0 0 1 . 5 9 1 7 3 5 . 995 1 6 . 5 3 0 ! [ 552 3 5 0 . 0 0 3 7 3 . 9 1 . 0 3 0 9 7 0 1 . 0 3 1 4 0 0 0 . 0 0 0 0 1 9 . 6 7 0 1 6 . 5 3 0 '"553 3 1 0 . 0 0 2 6 1 . 8 1 . 0 3 1 0 0 0 1 . 0 3 1 4 2 0 0 . 0 0 0 0 3 1 . 800 1 6 . 5 4 0 ! •554 3 0 0 . 0 0 2 8 2 . 6 1 . 0 3 0 9 8 0 1 . 0 3 1 4 2 0 0 . 0 0 0 0 2 5 . 450 1 6 . 5 3 0 ; ! 555 3 5 0 . 0 0 2 5 6 . 2 1 . 0 3 1 0 1 0 1 . 0 3 1 3 7 0 0 . 0 0 0 0 4 2 . 380 1 6 . 6 0 0 I 1556 3 5 0 . 0 0 2 3 2 . 3 1 . 0 3 1 0 4 0 1 . 0 3 1 3 9 0 0 . 0 0 0 0 5 1 . 570 1 6 . 6 1 0 ; TABLE 2-7 DATA RUN WS r r " PO PBO PC H U j NO* :0 RTF ICE TYPE r G.S. BETA=0.2 ; ! ! 226 148*00 1611.6 1.042190 1.042270 1.5899 67.660 31.910 1 -227 lOOoOO" 1187.6 1.042200 1.042030 1.5882 58.070 31.850 1 228 100.00 1294,9 1.042360 1.041990 1.5878 48.980 32.100 229 101.00 1427,8 1.042300 1 .041970 1.5874 41.280 31.940 230 114,00 1791.4 1.042350 1.041920 1.5871 33.590 31.940 231 80»00 1472,9 1.042320 1.041850 1.5866 24.950 31.700 232 72o00 1622.6 1.042400 1.041870 1.5862 16.950 31.700 ! "233 65.00 "1856V0 1.042440' "i"."6'4"l'890" 1.5860 9. 840 31.670 i 384 72.00 797.8 1.028550 1.028350 1.5877 69.040 14,165 j 385 54.00 853.8 1 .028600 1.028370 1 .5872 32.740 14.155! 1 3 8 6 68.00 1786.0 1.028650 1.028400 1.5871 11.810 14.165 396 87.00 1709.4 1.029760 1.030580 0.0000 11.400 15.340 397 • 87.00 1054.2 1.029730 1.030310 0.0000 31.120 15.310 398 90.00 941.8 r.~0295 50' f.'030620 0.0000 42.460 15.110 399 89.00 807.9 1.029430 1.030060 0.0000 57.830 15.020 400 110.00 893.3 1.029480 1.030000 0.0000 75.330 15.020 I 4 0 1 146.00 1077.2 1.029350 1.029870 0.0000 93.900 14.930 | 402 158.00 1045.8 1.029360 1.029860 0.0000 120.070 14.920 [40 3 144.00 870.8 1.029360 1.029830 13.5413 11.960 14,900 i 404 ""194V00" ~T034Y5"~ ~T."0293T0 1.629840 13.5411 15.310 "14.W6 J 405 205.00 977.6 1.029330 1.029840 13.5411 19.260 14o840 406 193.00 834.2 1 .029340 1.029850 13.5410 23.660 14.840 ! 407 248.00 997.0 1.029340 1.029890 13.5412 27.580 14.830 408 218.00 802.8 1.029350 1.029910 13.5412 33.310 14.840 409 194.00 667.4 1 .029360 1.029930 13.5411 40*040 14.830 410 " 2 26.00" 730.1 1 .029410 170299 50 13.5409 45.570 14.850 1 411 268.00 821.8 1.029420 1.029910 13.5408 50.850 14.850 ! 211 168.00 897.5 1 .042300 1.042510 1 .5901 59.900 31.860 n 212 160.00 902.9 1.042260 1.042410 1.5898 53.570 31.830 .213 186.00 1107.8 1.042190 1.042360 1.5897 47.870 31.680L- ! 214 130.00 801.5 1.042100 1.042220 1.5897 44.630 31.540 ~21"5~ 133.06 '8 7i."4 1.042070 1.042170 1.5895 39.390 31 .500 TABLE 2-7 (CONTINUED) RUN WS • TI PO PBO PC H u I NO. 216 145.00 1017.3 1.042000 l ' . 042110 1.5890 34. 520 31.370 ' 217 103.00 813.0 1.041910. 1.042090 1 .5887 27. 130 31.350 1 '218 100.00 890.4 1.041880 1.042020 1 .5888 21. 390 31.280 1 1219 188.00 1865.2 1.041800 1.042000 1.5885 17. 290 31.190 ; • 220 95.00 1056.5 1.041770 1.041860 1.5878 13. 800 31.150 i [221 " 94.00 1208.6 1.041760 1.041810 1.5877 10. 370 31. 190 : (222 103.00 1440.0 1.041800 1.041890 1.5898 8. 788 31.700 (223 95.00 1494.0 1.042160 1.042150 1.5895 7. 001 31.800 ; 224 86.00 1647.6 1.042140 1.042170 1.5893 4. 829 31.830 ' 393 227.00 2540.8 1.028850 1.028450 1.5858 13. 780 13.980 i 394 125.00 1081.2 1.028790 1.028460 1.5858 23. 390 13.875 f421 ~ "92.00 '8 77".7 T.029730 " lV0*30140~ 0.0000 10. 350 15.210 ! 422 200.00 1324.8 1.029630 1.030070 0.0000 22. 350 15.110 i U23 154.00 805.4 1.029570 1.030000 0.0000 37. 460 15.025 1 | 424 216.00 1008.6 1.029480 1.029930 0.0000 48. 160 14.940 i 425 187.00 801.6 1.029450 1.029900 0.0000 60. 900 14.900 i 425 187.00 782.6 1 .029450 1.029900 0.0000 60. 900 14.900 ' 426" 304.00 1141.4 1.029480 T. 029840 0.0000 77. "250 147940 : 427 194.00 589.8 1.029430 1.029790 0.0000 121. 770 14.890 j J428 197.00 653.4 1 .029440 1.029740 0.0000 100. 860 14.910 1 1429 225.00 657.8 1.029400 1.029670 0.0000 136. 000 14.860 j 430 310.00 852.2 1.029400 1.029630 13.5363 11. 050 14.860 I 1431 195.00 495.6 1.029320 1.029510 13.5390 14. 410 14.780! f432 " "2 03.00 "~463'„6""" "Y. 029310 1.029500" 13.5387 18. 160 14.~77~6 1 433 244.00 508.3 1.029690 1.029570 13.5389 22. 000 15.180 ; ) 434 245.00 466.4 1.029420 1.029560 13.5388 26. 630 14.900 i ; 43~5 250.00 431.4 1 .029410 1.029580 13.5386 32. 730 14.900 i [436 250.00 397.9 1.029400 1.029550 13.5382 38. 810 14.880 ' 1 196 235.00 743.8 1.041960 1.042160 1.5895 58. 700 31.810.: !'197~ "2 55 .00™ 842.5" "1". 0419 70 17642160 1.5894 - -53-"570 31 ."'76TT; i 198 240.00 837.9 1.042010 1.042410 1.5902 47. 840 31.840' [199 200.00 744.7 1.042030 1.042360 1.5902 41. 710 31.870 i i 200 215.00 854.5 1.042060 1.042410 1.5902 36. 490 31.9701 ;201 190.00 • 809.1 1 .042130 1.042440 1.5901 31. 580 32.060 1 202 180.00 861.4 1.042200 1.042340 1.5900 24. 860 32.140| "203 "155.00" 818".8 T . 042500 , f . 340" 1.5901 16. 340 32.310 j TABLE 2-7 (CONTINUED) 2-13 ( 1 [RUN WS TI PO PBO PC H . U | .NO. _ ! ;204 155,00 1058,4 1 ,042250 1 .042380 1.5900 12 . 160 32.280 ' j205 150,00 794.8 1 ,042290 1 .042240 1.5898 20 .150 32.330 ! 42 06 115,00 857,6 1 .042310 1 .042230 1.5895 10 .210 32.300 i ,;207 103,00 870.3 1 ,042340 1 .042150 1.5891 7 .950 32.300 .1208 97,00 962,0 1 .042300 1 .041860 1.5885 5 .832 32.140 ! •209 77,00 957,0 T • 0423 30" " 1 .0418 30 1 .5882 3 . 812" 32.080 • '210 80,00 1530,6 1 .042380 1 .041800 1.5878 1 .661 32.080 [387 260,00 834,4 1 .028850 1 .028350 1.5869 63 .920 ' 14.380 ' 1388 235,00 839,0 • 1 .028890 1 .024420 1.5865 50 .930 14.280 ' [389 185,00 742,3 1 .028910. 1 .028450 1.5864 39 .640 14.275 !390 236,00 1058.8 1 .028950 1 .028380 1 .5859 31 .220 14.250 i 391" """159","00 825,5 1 ."0290 20 i 7'6 28380 1.5856 22 .810 147260 : 392 157,00 1219,0 1 .029080 l .028460 1.5859 9 .720 14.300 i 412 156,00 838.4 1 .029590 I .030030 0.0000 11 .290 15.010 : 413 190.00 764,6 1 .029510 i .030050 0.0000 21 .070 14.900 i 414 220,00 724.4 1 .029540 I .030050 0.0000 32 .600 14.960 • 415 270.00 762,0 1 .029360 I .030060 0.0000 47 . 130 14.950 1 ,415 270.00 749.3 1 Vo 2 9 3 6 0 " i .03 0060 0.0000 47 . 130 14."950 I ;416 270.00 . '663.4 1 .029590 I .030070 0.0000 61 .430 14.970 i |417 293.00 654,6 1 .029570 • i .030080 0.0000 75 .290 14.940 ! i418 305.00 614.2 1 .029600 I .030130 0.0000 94 .050 1 4 . 9 6 0 ; 419 275,00 508,8 1 .029610 I .030090 0.0000 112 .180 14.970 420 290.00 504.2 1 .029620 I .030190 0.0000 128 .170 1 4 . 9 7 0 ! I TABLE 2-8 2-lk j ; " ~~ — — • j DATA . ' . ! "RON WS TT '' PO PBO PC H u ; NO. | ORTFTCE -TYPE i G.S. BETA=0.4• 1 '} 278 252.00 730.7 1.045490 1.045710 1.5918 60< .340 i 36.000 "279" "3 75.00 1192.1 T."045 3 8 0 ~ ~T. 04563 0 1.5916 49< ,830 .35.870 280 245.00 843.5 1.045290 1 .045500 1 .5916 42. ,320 35.830. 281 301.00 1127.5 1 .045160 1.045140 1 .5903 35. , 720 35.900 : 282 230.00 972.8' 1.045030 1.044930 1.5897 27. 900 36.080 283 330.00 1669,5 1 .045060 1.044970 1.5893 19. ,410 36.160 284 182.00 1054.2 1.045070 1.044870 1 .5889 14. 810 36.470 T i "28 5 "160.00 T 0 9 5 ' . y ~1.044980 1.044730 1.5887 10< ,"650 3 6 7 5 2 0 1 i 286 121.00 949.8 1.045000 1.044780 1.5890 8. ,160 36.900 1 287 170.00 1829.2 1.044780 1.044480 1.5885 4< ,578 36.410! i 288 130.00 1494.4 1.044690 1.044250 1.5876 3. , 800 36.470 289 152.00 2122.6 1.044610 1.044000 1.5871 2. ,768 36.430 290 105.00 2458.4 1.044480 1.043980 1.5871 1. ,031 36.280 i 335 225.00 643.5 1.036350 1.036220 1 .5886 64. ,""450 2'2.~600" 336 215.00 660.7 1.036380 1.036250 1.5885 55. ,490 21.980 L 337 310.00 1037.5 1.036380 1.036220 1.5883 46 < ,440 22.450 338 245.00 901.4 1.036350 1.036180 1.5881 38. ,150 22.330 339 165.00 682.4 1.036480 1.036340 1.5880 29. .940 22.530 340 175.00 830.8 1.036540 1.036300 1.5879 22< , 500 22.530 341 157.00 • 830.4 1.036590" 1." 03 64 00 " 1 ."5878 "17. ,"93 0™ 22.530, 342 150.00 959.6 1.036570 1.036400 1.5876 12. , 190 22.580 343 140.00 1115.4 1.036720 1.036500 1.5877 7, ,980 22.680 452 160.00 579.8 1.029070 1.029870 0.0000 11. ,080 14.770 453 168.00 624.0 1.029780 l.:030170 0.0000 21 .330 15.500 454 180.00 541.5 1.029680 1.030060 0.0000 32. .970 15.370 -"45 5 230.00 • 870.0 1. 029680 1.029880 0.0000 20 ,'3 30 157370 456 220.00 566.5 1.029550 1.029870 0.0000 45 ,910 15.240 • 457 231.00 531.8 1.029710 1.029930 0.0000 58. .000 15.470 \ 458 220.00 416.5 1.029400 1.029880 0.0000 87. .930 15.010 i 459 265.00 441.6 1.029310 1.029880 0.0000 114. , 890 14.930- 460 260.00 380.2 • 1.029360 1.029810 13.5426 12. » 230 14.980 461 235.00 265.4 1.0293 30 " 1.029676" 13.5421 16 ,080 14.97Q TABLE 2-8 (CONTINUED) 2-15 RUN WS TI • PO PBO PC H 1 U 1 NO,_ 1 462 300*00 335.1 1 . 0 2 9 3 4 0 1 . 0 2 9 7 4 0 1 3 . 5 4 1 9 1 9 . 9 6 0 1 4 * 9 8 0 : 463 275*00 2 8 3 . 6 1 . 0 2 9 3 1 0 1 . 0 2 9 7 2 0 1 3 * 5 4 1 9 2 5 . 4 7 0 1 4 . 9 7 5 • |496 122*00 7 9 3 . 5 1 . 0 3 0 1 0 0 1 . 0 3 0 6 8 0 0.0000 6.640 1 5 * 7 3 0 • i 4 9 6 122*00 793.5 1 .030100 1 . 0 3 0 6 8 0 1 . 5 9 2 9 11.940 15.730 ; 1497 170*00 5 6 1 . 4 1 . 0 3 0 0 1 0 1 . 0 3 0 6 2 0 1 * 5 9 2 7 4 9 . 2 8 0 1 5 . 6 1 0 f4"97" " T 7 0 . 0 0 561".4™ 1 . 0 3 0 0 1 0 lT6'3"062(f 0.0000 27.060 1 5 . 6 1 0 : j'498 223*00 5 3 1 . 0 1 . 0 3 0 0 1 0 1 . 0 3 0 6 1 0 0.0000 5 3 . 8 2 0 1 5 . 5 8 0 f 498 223*00 5 3 1 . 0 1 . 0 3 0 0 1 0 1 . 0 3 0 6 1 0 1 3 . 5 4 0 7 4.330 1 5 . 5 8 0 ' [ 499 3 0 5 * 0 0 6 3 5 . 2 1 .030000 1 . 0 3 0 5 9 0 0.0000 7 1 . 5 8 0 1 5 . 5 7 0 , 500 3 0 5 * 0 0 6 3 5 * 2 1.030000 1 . 0 3 0 5 9 0 1 3 . 5 4 0 5 • 5 . 8 5 0 1 5 . 5 7 0 .' [ 500 2 0 5 . 0 0 331.0 1.030030 1 . 0 3 0 5 8 0 0.0000 121.800 1 5 . 6 2 0 f500 2 0 5 * 0 0 , 3 3l7o" "" f.*030030" lV'0305"80~ 1 3 . 5 4 0 0 9. 8 9 0 1 5 . 6 2 0 : {501 2 6 5 * 0 0 385.7 1 . 0 3 1 0 0 0 1 . 0 3 1 7 0 0 13.5483 1 2 . 2 7 0 17.150' j 502 300*00 393.8 1 . 0 3 1 0 3 0 1 . 0 3 1 5 8 0 1 3 . 5 4 8 0 15.060 17.200: 1503 2 5 0 * 0 0 2 9 6 . 8 1 . 0 3 0 9 7 0 1 . 0 3 1 5 0 0 1 3 . 5 4 7 7 18.900 1 7 . 0 8 0 1 I 504 300*00 3 2 7 . 2 1 . 0 3 0 9 0 0 1 . 0 3 1 4 2 0 1 3 . 5 4 7 1 2 2 . 7 8 0 1 6 . 9 8 0 ; [303 3 5 0 * 0 0 4 8 2 * 2 1 . 0 4 3 8 1 0 1 . 0 4 3 6 1 0 1 . 5 8 6 2 5 8 . 2 6 0 3 4 . 8 9 0 J |3*04 ~ 3 8 0 * 0 0 "557 . 4 " r . " '043880" 1 . 0 4 3 8 2 0 1 . 5 8 6 6 51.050 3 4 . " 8 1 0 305 3 7 5 . 0 0 5 9 6 * 9 1 . 0 4 3 9 8 0 1 . 0 4 3 8 3 0 1 . 5 8 6 4 4 3 . 1 7 0 3 4 . 8 9 0 : 5 306 3 9 0 * 0 0 6 8 2 . 9 1 . 0 4 3 9 8 0 1 . 0 4 3 8 0 0 1 . 5 8 6 0 35.320 34.890' I 3 0 7 3 6 5 . 0 0 732,0 1.044100 1 . 0 4 3 9 9 0 1.5858 2 6 . 6 5 0 34.880| 1 3 0 8 400*00 9 2 3 . 0 1.044200 1 . 0 4 4 9 3 0 1 . 5 8 5 6 19.960 3 4 . 9 0 0 1 1 309 2 7 9 . 0 0 7 2 3 , 4 1 . 0 4 4 2 8 0 1 . 0 4 3 9 0 0 1 . 5 8 4 9 15.770 3 4 . 9 2 0 : [310 " 2 9 0 * 0 0 " 9 1 6.8" 1 .0443 70' 1.0*4 3 95 0~ 1 . 5 8 4 7 1 0 . 5 3 0 3 4 7 9 4 0 " J 311 2 0 8 . 0 0 768,6 1.044430 1.044000 1.5844 7. 660 34.980; | 312 293.00 1223.5 1.044470 1 . 0 4 4 9 8 0 1 . 5 8 3 9 6 .024 34.9401 j 313 1 9 5 . 0 0 1 0 4 6 , 4 1.044400 1 . 0 4 3 9 0 0 1 . 5 8 3 4 3 . 6 5 4 34.740, ; 3 1 4 300.00 2 4 5 2 . 0 1 . 0 4 4 5 0 0 1.044050 1 . 5 8 3 1 1 . 6 1 0 3 4 . 6 5 0 1 315 400.00 5 8 3 . 0 1 . 0 3 6 1 2 0 1 . 0 3 5 6 6 0 1 . 5 8 7 6 53.540 22.600! t"316 380.00 6 1 0 . 4 1 . 0 3 6 2 1 0 " 1 . 0 3 5 6 8 0 1 . 5 8 7 4 43.620 "22 7750' j 318 2 8 4 * 5 0 5 0 4 . 2 1 . 0 3 6 2 1 0 1 . 0 3 5 6 2 0 1 . 5 8 7 2 35.420 22.750, i 319 3 6 5 . 0 0 744.8 1 . 0 3 5 9 0 0 1 . 0 3 5 5 8 0 1 . 5 8 7 1 26.430 2 2 . 3 3 0 i r 3 2 0 - 2 8 0 . 0 0 699.8 1 . 0 3 5 8 0 0 1 . 0 3 5 5 1 0 1 . 5 8 6 9 1 7 . 4 1 0 2 2 . 1 5 0 , 321 230.00 6 3 6 . 4 1 . 0 3 5 7 6 0 1 . 0 3 5 5 1 0 1 . 5 8 6 9 13.960 22.110L 322 3 4 0 . 0 0 1 0 7 0 , 6 • 1 . 0 3 5 7 5 0 1 . 0 3 5 4 8 0 1 . 5 8 6 9 1 0 . 6 3 0 22.100! "323 "225.00'"" -""899 ."2 T. 0 3 5 6 5 0 " ~ 1 7 0 3 5 2 30 1 . 5 8 6 9 6.550 21 ."9 7 Oj I I 1 TABLE 2 - 8 (CONTINUED) ?-sXA' I [RUN WS T I P O P B O P C H 1 U i N O o i i 3 2 4 2 1 5 o 0 0 1 1 0 6 * 4 1 . 0 3 5 6 4 0 1 . 0 3 5 1 2 0 1 . 5 8 6 9 3 . 9 0 0 2 1 * 9 8 0 j 3 2 5 ' 1 1 5 o 0 0 1 1 4 6 . 7 1 * 0 3 5 6 4 0 1 . 0 3 5 1 4 0 1 . 5 8 7 0 1 . 0 5 0 2 1 . 9 7 0 . |32<T" 2 9 0 . 0 0 4 3 6 . 4 1 * 0 3 5 5 9 0 1 . 0 3 5 1 8 0 1 . 5 8 6 9 5 0 . 5 0 0 2 1 . 8 9 0 j 3 2 7 2 5 5 o 0 0 4 1 3 . 5 1 * 0 3 5 5 6 0 1 . 0 3 5 1 8 0 1 . 5 8 7 2 4 2 . 9 3 0 2 1 . 8 6 0 1 3 2 0 2 8 0 o 0 0 6 9 9 . 8 1 * 0 3 5 8 0 0 1 . 0 3 5 5 1 0 0 . 8 7 3 9 5 9 . 7 6 0 2 2 . 1 5 0 j \32l 2 3 0 o 0 0 6 3 6 * 4 1 * 0 3 5 7 6 0 " T . 0 3 5 5 1 0 " 0 . 8 7 3 9 4 7 . 8 9 0 2 2 . 1 1 0 • '.322 3 4 0 o 0 0 1 0 7 0 . 8 1 * 0 3 5 7 5 0 1 . 0 3 5 4 8 0 0 . 8 7 3 8 3 6 . 4 6 0 2 2 . 1 0 0 [ 3 2 3 2 2 5 o 0 0 8 9 9 . 2 1 . 0 3 5 6 5 0 1 . 0 3 5 2 3 0 0 . 8 7 3 3 2 2 . 4 6 0 2 1 . 9 7 0 ' ! 3 2 4 2 1 5 * 0 0 1 1 0 6 . 4 1 * 0 3 5 6 4 0 1 . 0 3 5 1 2 0 0 . 8 7 3 1 1 3 . 2 3 0 2 1 . 9 8 0 3 2 5 1 1 5 . 0 0 1 1 4 6 . 7 1 . 0 3 5 6 4 0 1 . 0 3 5 1 4 0 0 . 8 7 3 1 3 * 3 5 0 2 1 . 9 7 0 ; ! 3 4 7 l O l o O O 1 0 4 9 . 3 1 . 0 3 5 7 2 0 1 . 0 3 5 1 1 0 0 . 8 7 1 9 3 . 5 2 0 2 1 . 9 7 0 l"347 " " 1 0 1 . 0 0 "104973" " T . 0 35 720" " ~ T . 0 3 " 5 l T d " 1 . 5 8 4 7 0 . 9 5 0 21.970 | 3 4 8 1 7 4 * 0 0 8 2 7 * 0 1 . 0 3 5 7 0 0 1 . 0 3 5 0 2 0 1 . 5 8 4 4 4 . 6 1 5 2 1 . 8 8 0 i | 3 4 8 1 7 4 o 0 0 8 2 7 . 0 1 . 0 3 5 7 0 0 1 . 0 3 5 0 2 0 0 . 8 7 1 6 1 6 . 1 3 0 2 1 . 8 8 0 | i349 2 2 5 * 0 0 7 6 8 . 2 1 . 0 3 5 7 7 0 1 . 0 3 4 9 8 0 1 . 5 8 4 1 9 . 120 2 1 . 9 2 0 j : 3 4 9 2 2 5 * 0 0 7 6 8 . 2 1 . 0 3 5 7 7 0 1 . 0 3 4 9 8 0 0 . 8 7 1 4 3 1 . 4 8 0 2 1 * 9 2 0 3 5 0 2 6 5 * 0 0 7 3 2 . 3 1 . 0 3 5 8 3 0 1 . 0 3 5 0 1 0 1 . 5 8 3 9 1 4 . 1 5 0 2 1 . 9 9 0 i "3 50 " 2 6 5 * 0 0 7 3 2 . 3 1 . 0 3 5 8 3 0 l " . 0 3 5 0 i d 0 . 8 7 1 4 4 8 . 5 5 0 2 1 . 9 9 0 | 3 5 1 2 6 5 * 0 0 6 2 0 . 0 1 . 0 3 5 9 3 0 1 . 0 3 5 0 0 0 . 1 . 5 8 3 7 ' 2 0 . 0 4 0 2 2 . 1 1 0 j 1-352 2 7 0 * 0 0 5 4 3 * 4 1 * 0 3 5 9 9 0 • 1 . 0 3 5 0 9 0 1 . 5 8 3 8 2 7 . 4 2 0 2 2 . 0 9 0 ! 1 3 5 3 2 3 5 * 0 0 4 3 7 , 7 1 . 0 3 6 0 1 0 • 1 . 0 3 5 1 0 0 1 . 5 8 3 6 3 2 . 4 7 0 2 2 . 0 8 0 j ; 3 5 4 2 9 0 * 0 0 5 0 6 * 0 1 . 0 3 6 1 3 0 1 . 0 3 5 1 9 0 1 . 5 8 3 4 3 6 . 9 7 0 2 2 . 2 2 0 ! 3 5 5 3 0 5 * 0 0 • 5 0 7 . 6 1 . 0 3 6 1 5 0 1 . 0 3 5 1 3 0 1 . 5 8 3 2 4 0 . 9 5 0 2 2 . 1 8 0 : 3 5 6 2 8 0 * 0 0 4 4 8 . 2 1 . 0 3 6 1 5 0 1 . 0 3 5 1 6 0 1 * 5 8 2 9 4 4 . 5 6 0 22". 140 ! ! 3 5 7 3 1 5 * 0 0 4 7 8 . 4 1 . 0 3 6 2 1 0 1 . 0 3 5 2 8 0 ' 1 . 5 8 3 0 4 9 . 7 5 0 2 2 . 1 9 0 ! 3 5 8 2 9 0 * 0 0 4 3 0 . 2 1 . 0 3 6 2 8 0 1 . 0 3 5 3 6 0 1 . 5 8 3 2 5 2 . 1 0 0 2 2 . 2 4 0 1 4 3 7 2 2 4 * 0 0 5 3 8 . 4 1 . 0 2 9 4 1 0 1 . 0 3 0 2 5 0 0 . 0 0 0 0 5 . 4 1 0 1 5 . 1 7 0 , 4 3 8 2 5 0 * 0 0 4 1 7 . 4 1 . 0 2 9 3 9 0 1 . 0 3 0 2 3 0 0 . 0 0 0 0 1 1 . 5 2 0 1 5 . 1 3 5 ' 4 3 9 3 2 0 * 0 0 4 5 4 . 4 1 . 0 2 9 3 2 0 1 , 0 3 0 2 3 0 0 . 0 0 0 0 1 6 . 1 6 0 1 5 . 0 6 0 : 4 4 0 3 2 0 * 0 0 3 7 7 . 0 1 . 0 2 9 2 3 0 1 . 0 3 0 0 8 0 0 . 0 0 0 0 2 3 . 7 9 0 14.""950": 4 4 1 3 1 5 * 0 0 3 2 7 . 3 1 . 0 2 9 2 1 0 1 . 0 3 0 0 8 0 0 . 0 0 0 0 3 0 . 7 9 0 1 4 . 9 3 0 ' 4 4 2 3 3 0 . 0 0 2 9 8 , 4 1 . 0 2 9 0 4 0 1 . 0 2 9 8 3 0 0 . 0 0 0 0 4 0 . 9 7 0 1 4 . 7 4 0 1 4 4 3 3 2 0 * 0 0 3 0 8 , 4 1 . 0 2 9 0 6 0 1 . 0 2 9 8 1 0 0 . 0 0 0 0 3 5 . 9 0 0 1 4 . 7 5 0 ; 4 4 4 2 6 5 . 0 0 2 2 2 . 6 1 . 0 2 8 9 6 0 1 . 0 2 9 8 9 0 0 . 0 0 0 0 4 7 . 3 5 0 1 4 . 6 3 0 - 4 4 5 2 8 0 . 0 0 2 4 5 . 6 • 1 . 0 2 8 9 7 0 1 . 0 2 9 8 8 0 0 . 0 0 0 0 6 1 . 2 0 0 1 4 . 6 4 0 i 479 1 9 0 . 0 0 681 . 0 l"T03'06~80 17631130 1 . 5 9 5 7 8 . 1 2 0 " 16.*63b1 ! TABLE 2 - 8 (CONTINUED) 2 - 1 7 [ \ RUN WS TI PO PBO PC H i U . f l [NO. 1 1 4 7 9 1 9 0 o 0 0 6 8 1 . 0 1 . 0 3 0 6 8 0 1 . 0 3 1 1 3 0 0 . 0 0 0 0 4 . 5 6 0 l 1 6 . 6 3 0 ! |! 4 8 0 2 7 3 , 0 0 6 2 5 . 8 1 . 0 3 0 7 2 0 1 . 0 3 1 0 7 0 1 . 5 9 5 2 2 0 . 9 4 0 1 6 . 7 0 0 I 4 8 0 2 7 3 . 0 0 6 2 5 . 8 1 . 0 3 0 7 2 0 1 . 0 3 1 0 7 0 0 . 0 0 0 0 1 1 . 5 8 0 1 6 . 7 0 0 | 4 8 1 2 6 5 , 0 0 4 7 5 . 7 1 . 0 3 0 5 7 0 1 . 0 3 0 9 4 0 1 . 5 9 4 5 3 5 . 0 8 0 1 6 . 4 4 0 1 4 8 1 2 6 5 , 0 0 4 7 5 . 7 1 . 0 3 0 5 7 0 1 . 0 3 0 9 4 0 0 . 0 0 0 0 1 9 . 2 8 0 1 6 , 4 4 0 } 4 8 2 " 2 7 5 o 0 0 " ~ 4 2 0 " , 0 " 1 . 0 3 0 6 1 0 1". 0 3 0 9 0 0 ' . 0 . 0 0 0 0 2 7 . 2 8 0 1 6 . 5 1 0 - 1 4 8 3 2 9 0 , 0 0 3 6 7 . 2 1 . 0 3 0 5 9 0 1 . 0 3 0 8 3 0 0 . 0 0 0 0 - 4 0 . 6 9 0 1 6 . 4 6 0 i 4 8 3 2 9 0 , 0 0 3 6 7 . 2 1 . 0 3 0 5 9 0 1 , 0 3 0 8 3 0 1 3 . 5 4 2 0 3 . 2 3 0 1 6 . 4 6 0 ' 4 8 4 2 5 0 , 0 0 2 8 2 , 4 1 . 0 3 0 4 8 0 1 . 0 3 0 8 0 0 0 . 0 0 0 0 5 1 . 6 9 0 1 6 , 2 8 0 . 4 8 4 2 5 0 , 0 0 , 2 8 2 , 4 1 . 0 3 0 4 8 0 1 . 0 3 0 8 0 0 1 3 . 5 4 1 6 4 . 1 7 0 1 6 , 2 8 0 4 8 5 3 0 0 , 0 0 . 2 8 8 . 3 1 . 0 3 0 3 5 0 1 . 0 3 0 7 0 0 0 . 0 0 0 0 7 2 . 6 2 0 1 6 . 1 1 0 r485" 3 00,00 2 8 8 , 3 " 1 . " 0 3 0 3 5 0 i"7o3'b'7'oo 1 3 . 5 4 1 1 5 . 9 5 0 i~6","iTo ,j 486 300 ,00 2 5 4 . 0 ' 1 . 0 3 0 3 4 0 1 . 0 3 0 7 3 0 0 . 0 0 0 0 9 4 . 1 7 0 1 6 . 1 0 0 1 ; 4 8 6 3 0 0 , 0 0 2 5 4 , 0 1 . 0 3 0 3 4 0 1 . 0 3 0 7 3 0 1 3 . 5 4 0 9 7 . 6 7 0 1 6 . 1 0 0 ' I 4 8 7 3 2 5 , 0 0 2 5 6 . 4 1 . 0 3 0 2 5 0 1 . 0 3 0 6 2 0 0 . 0 0 0 0 1 0 9 . 8 9 0 1 5 . 9 5 0 4 8 7 . 3 2 5 , 0 0 2 5 6 , 4 1 . 0 3 0 2 5 0 1 . 0 3 0 6 2 0 1 3 . 5 4 0 5 8 . 9 0 0 1 5 . 9 5 0 ' 2 9 1 3 1 0 , 0 0 2 8 3 . 9 1 , 0 4 4 0 6 0 1 . 0 4 3 8 7 0 1 . 5 8 8 4 6 0 « 1 1 0 3 5 . 6 5 0 | 2 9 2 " 3 4 5 , 0 0 2 8 9 , 0 1 . 0 4 4 0 5 0 1 . 0 4 3 8 1 0 1 . 5 8 8 0 5 2 . 8 7 0 3 5 " . 5 2 0 2 9 3 3 3 5 , 0 0 3 1 2 . 0 1 . 0 4 4 0 8 0 1 . 0 4 3 7 6 0 1 . 5 8 7 5 . 4 2 . 5 6 0 3 5 . 5 1 0 ' 1 2 9 4 390 ,00 4 2 4 , 9 1 . 0 4 4 1 5 0 1 . 0 4 3 7 6 0 1 . 5 8 7 3 3 0 . 5 9 0 3 5 . 7 2 0 ' \ 2 9 5 3 7 0 , 0 0 4 4 8 . 2 1 . 0 4 4 2 5 0 1 . 0 4 3 6 3 0 1 . 5 8 6 9 2 4 . 5 3 0 3 5 . 8 9 0 . ' I 2 9 6 3 5 0 , 0 0 4 7 6 , 3 1 . 0 4 4 1 8 0 1 . 0 4 3 7 9 0 1 , 5 8 6 7 1 9 . 1 6 0 3 5 . 8 2 0 ' | 2 9 7 3 5 0 , 0 0 5 2 7 . 3 1 . 0 4 4 1 5 0 1 . 0 4 3 8 2 0 1 . 5 8 6 7 1 5 . 5 8 0 3 5 . 7 6 0 . f 2 9 ' 8 " 2 7 5 , 0 0 " " " 4 7 0 7 4 " " ' 1 . 0 4 4 1 4 0 1 . 0 4 3 9 0 0 ' 1 , 5 8 6 3 1 1 . 9 7 0 3 5 7 6 0 0" j 2 9 9 2 0 0 , 0 0 4 1 4 . 9 1 . 0 4 4 1 4 0 1 . 0 4 3 8 8 0 1 . 5 8 6 1 8 . 0 8 0 3 5 . 5 1 0 ' 1 3 00 2 9 0 , 0 0 7 4 2 . 7 1 . 0 4 4 1 9 0 1 . 0 4 3 7 7 0 1 , 5 8 6 0 5 . 2 7 6 3 5 . 5 2 0 : r"3oi 3 0 5 , 0 0 9 7 5 , 8 1 . 0 4 4 3 0 0 1 . 0 4 3 6 2 0 1 . 5 8 5 2 3 . 3 6 9 3 5 . 8 0 0 3 0 2 3 3 2 , 0 0 1 4 6 0 , 0 1 . 0 4 4 2 5 0 1 . 0 4 3 4 8 0 1 , 5 8 4 6 1 . 6 8 9 3 5 . 5 5 0 3 2 7 1 4 0 , 0 0 8 6 8 . 5 1 . 0 3 6 2 3 0 1 . 0 3 5 9 9 0 0 . 8 7 3 5 3 . 0 0 0 2 2 . 6 4 0 " ' 3 2 7 1 4 0 . 0 0 ~~ " 8 6 8 " . 5" 1 . 0 3 6 3 2 0 1 7 0 3 5 9 9 0 1 7 5 8 7 9 " 6 . 8 9 0 2 2~. 6"4"0" i 3 2 8 2 5 0 . 0 0 6 3 6 . 4 1 . 0 3 6 3 0 0 1 . 0 3 6 0 2 0 1 . 5 8 7 6 5. 3 5 0 2 2 . 6 2 0 I 3 2 8 2 5 0 . 0 0 6 3 6 . 4 1 . 0 3 6 3 0 0 1 . 0 3 6 0 2 0 0 . 8 7 3 3 1 8 . 6 9 0 2 2 . 6 2 0 \ 3 2 9 2 3 0 . 0 0 7 8 6 . 4 1 . 0 3 6 3 6 0 1 . 0 3 6 0 8 0 1 . 5 8 7 6 2 . 9 5 0 2 2 . 5 2 0 ! 3 2 9 2 3 0 . 0 0 7 8 6 . 4 1 . 0 3 6 3 6 0 1 . 0 3 6 0 8 0 0 . 8 7 3 3 1 0 . 3 0 0 2 2 . 5 2 0 - : 3 3 0 3 7 5 . 0 0 7 7 7 . 0 • 1 . 0 3 6 3 5 0 1 . 0 3 6 1 0 0 1 . 5 8 7 5 8. 1 9 0 2 2 . 3 2 0 | ' " ' 3 3 0 "3 7 5 " . 0 0 " " " ~ ~ 7 7 7 , 0 " ""T. 0 3 6 3 6 0 " ' " " " 1 • 6 3 6 1 0 0 ' " 6 7 8 7 3 3 " 2 8 Y 5 2 0 ~ 2 2 " . 3 20" TABLE 2-8 (CONTINUED) :RUN WS TI PO PBO PC H u ! ,NO. i j331 280.00 493.6 1.036250 .1.036190 1 .5873 11. 480 21.910 ' |331 280.00 493.6 1.036250 1.036190 0 .8733 39. ,970 21.910 t "3 32 345.00 544.4 1.036310 1.036210 1 .5873 14. 550 21.980 1 332 345.00 544.4 1.036310 1.036210 0 .8734 50. ,470 21.980 ! J3 34. 315.00 396.1 1.036250 1.036410 1 .5874 23. 550_ 21.730 • ^"34 315.00 396.1 1.036250 1.036410 o" .8736 82. "ooo 21.730" 344 225.00 604.2 1.036950 1.036600 1 .5877 2. 870 22.970 344 225.00 604.2 1.036950 1.036600 0 .8741' 10. 030 22.970 : 345 280.00 536.4 1.037130 1.036580 1 .5877 5. 760 23.140 i 345 280.00 536.4 1.037130 1.036580 0 .8739 19. 720 23.140 '• 346 240.00 357.2 1.037260 1.036620 1 .5876 13. 170 23.260 1 i 346 240.00 , 357.2 1.037260 f. 03 6620" 6" .8740 49. ,"220 ""23T260 ; ,'447 325.00 365.0 1.028990 1.029850 0 .0000 8. ,920 14.670 j ! 446 300.00 485.4 1.028990 1.029850 0 .0000 4. , 100 1 4 . 6 7 0 | 448 340.00 .317.0 1.028990 1.029820 0 .0000 13. , 170 1 4 . 6 7 0 , 449 360.00 307.0 1.028990 . 1.029870 0 .0000 15. ,920 1 4 . 6 7 0 ! 450 375.00 274.6 1 .028990 1.029830 0 .0000 21. 700 1 4 . 6 7 0 ! 451 390.00 259.4 1.028980 1.0298 30" 0 .0000 26. 470 14.650. 488 236.00 630.0 1.030160 1.030570 1 .5927 5. ,110' 15.800 ! '2 88 236.00 630.0 1.030160 1.030570 0 .0000 2. 870 15.800 ! f 2 8 9 245.00 634.5 1.030160 1.030570 1 .5923 5. ,333 15.800 : 289 245.00 634.5 1.030160 1.030570 0 .0000 3. 000 15.800 i [490 325.00 611.4 1.030130 1.030660 1 .5928 10. ,330 15.710 1 | 490 325.00 611.4 1.030130 l.~63~b660 0" .0000 5. "740 15•710 j |491 320.00 389.3 1.030110 1 .030770 1 .5935 26. 080 15.730] J 491 320.00 389.3 1.030110 1.030770 0 .0000 14. ,370 15.730! ' 4 9 2 315.00 333.4 1.030110 1.030810 1 .5938 34. 970 15.750. [ 492 315.00 333.4 1.030110 1.030810 0 .0000 19. 310 15.750" [493 325.00 289.2 1.030100 1.030850 0 .0000 27. 530 15.710: !"49T 325.66 28'9.2 " 1 ."030100 1T6308 50"" "13" .5416 2. ,215 15.710! j 494 365.00 283.0 1 .030070 1.030800 0 .0000 36. 890 15.670! |494 365.00 283.0 1.030070 1.030800 13 .5415 3. ,060 15.670! 5495 370.00 2~5"5 . 1 1 .030080 1.030670 0 .0000 46. 910 1 5 . 6 7 0 i 1 495 370.00 255.1 1 .030080 1.030670 13 .5414 3. 820 15.670J- / TABLE 2 - 9 2 -19 1 i DATA ' | RUN WS TI PO PBO PC H U ! [ NO. 1 i iORIFICE TYPE j G.S. BETA=0.6 i 1 235 355.00 430.1 1.044350 1.044390 1 .5930 51. 970 36.830 [""2 36 335.00 433.4 1 ."044280 1.044380 1.5925 45. 080 36.300 237 330.00 470.5 1.044000 1.044200 1 .5920 37. ,310 35.850 | 238 400.00 655.0 1.043920 1.044090 1.5916 28. 810 35.720 { 239 390.00 746 .9 1.043870 1.044030 1.5912 21. 250 35.600 240 305.00. 645.6 1.043630 1.044070 1.5906 17. 050 34.980 280.00 688.2 1.043700 1.043990 1.5903 12. 580 35. 190 | 2 4 2 2 6 5700* 7 2874 "T.043680 i~. 04 3890 1 .5902 10. 040 3*5 • 280 S 243 230.00 718.0 1.043680 1.043810 1.5900 7 . 810 . 35.320 1 244 252.00 964.6 1.043710 1.043700 1.5896 5 . 160 35.490 i 245 197.00 930.0 1.043760 1.043790 1.5900 3. 460 35.700 246 140.00 932.9.. .1.043710 1.043780 1.5901 1. 820 35.670 245.00 531.6 1.043710 1.043980 1.5902 16. 190 35.700 {"248"" "296700* 549.4 1.043700 1.043770 1.5903 21". "130" 3*57690 377 180.00 1152.8 1.037320' 1.037210 1.5877 2 . 020 23.450 1 378 190.00 699.0 1.037450 1.037240 1.5874 5. 850 23.630 1 3 7 9 245.00 716.6 1.037660 1.037310 .1.5873 8 . 880 23.760 380 275.00 641.6 1.037600 1.037350 1.5896 14. ,110 23.776 ! 381 330.00 681 . 1 1.037520 1.037380 1.5866 18. 000 23.720 | 382 " "2 80". 00* "'"5 05.8" 17637670 T7637450 1.5864 23. 830 237780 ! 383 285.00 473.8 1.037620 1.037540 1.5864 28. 270 23.830 ] 602 240.00 941.2 1.031790 1.032090 1.5918 4. 980 17.600 | 603 210.00 409.4 1.031680 1.032110 1 .5916 19. 970 17.440 604 245.00 344.0 1 .031700. 1.032090 1.5916 40. 230 17.410 I 605 300.00 330.6 1.031690 1.032080 0.0000 36. 605 17.450 r"606 "3 60". 00 "3 37.3" 1. 031670 ~f. 0326"80 0.0000 51. 640' r7.'32'"6 | 607 300.00 256.0 1.031610 1.032080 0.0000 63. 130 17.350 ! 608 340.00 245.7 1.031640 1.032070 0.0000 90. 150 17.390 i 609 330.00 228.2 1.031590 1.032070 0.0000 9 9 . 550 17.310 \ 610 300.00 337.2 1.031590 1.032000 0.0000 35. 110 17.32a ! 611 300.00 278.0 1.031550 1.032040 o . o o o o 53. 200 17.280 '"612"" 145.00 420.7 "T."03T9"56" T ' . 03'2096 1 .5915 9 . "630 17 .270 j C — i r TABLE 2-9 (CONTINUED) i 2-20 j '•• RUN WS TI PO PBO PC H U » : NO. i 613 140,00 224.9 1.031490 1.032110 1 .5915 30, .465 i 17.190 ! 614 200.00 330.6 1.031550 1.032080 1 .5915 28. .660 17.270 1 r 6 5 7~~ 191.00 1114.7 1.046800 1.048050 1 .5950 3« .035 41.350; | 658 295.00 761.0 1.046850 1.047750 0.8767 36. .640 42.300| 1 658 295.00_ 761.0 1.046850 1.047750 1 .5934 11. .490 42.300' i'659 328". 00 123778 1.046940 1.04.7710 0.8763 17. .460 42.050 659 328.00 1237.8 1.046940 1.047710 1.5932 5. .480 42.050; 660 245.00 1072.0 1.046890 1 .047730 0.8767 13. .075 41.820 660 245.00 1072.0 1.046890 1.047730 1.5930 4. 160 41.820 661 285.00 596.8 1.046830 1.047720 1 .5929 17. 260 41.590 1 661 285.00 596.8 1.046830 1.047720 0.0000 8. ,980 41.590' 1662 262.00'. 465.4 1 ."046940 " l ."047770" 1 .5929 24. . 180 42.010 S 662 62.00 465.4 1.046940 1.047770 0.0000 12. ,535 42.010; I 663 280.00 406.6 1.046920 1.047800 1 .5933 36. . 145 41.960! i 663 280.00 406.6 1.046920 1.047800 0.0000 18. ,970 . 41.960 664 295.00 326.6 1.046940 1.047760 0.0000 32. . 800 42.080 I 664 295.00 326.6 1.046940 1.047760 13.5426 2. ,740 42.080' [~66 5 310.00 341.2 1.047030 .1 .047800 0.0000 33. .250 42.480 : 665 310.00 341.2 1 .047030 1.047800 13.5423 2. ,785 42.480 4 666 285.00 268.6 1.046990 1.047880 0.0000 45. ,710 .42.300; 666 285.00 268.6 1.046990 1.047880 13.5429 3. ,860 42.300; 667 340.00 295.6 1.047040 1.047880 0.0000 53. .990 42.480i 667 340.00 295.6 .1 .047040 1 .047880 13.5431 4. .640 42.480; "'668 3 00.'00 246.5 1.047020 i.~047900" 0.0000.. 61. ,816 42.480J J 668 300.00 246.5 1.047020 1.047900 13.5431 . 5. . 170 42.480; j 66 9 110.00 632.6 1.047080 1.047810 0.8769 7. 150 42.630! 669 110.00 632.6 1.047080 1.047810 1 .5933 2. ,415 42.630; 670 189.00 817.9 1.047190 1.048120 0.8778 12. 890 43.150; 670 189.00 817.9 1.047190 1.048120 1.5943 4. 130 43.150" "263 365.00 250.1 1.044240 1.044"56'd~ 1.5924 35. 150 36.040, ! 264 340.00 248.0 1.044240 1.044640 1 .5927 30. ,860 35.990' 1 265 375.00 290.0 1.044240 1 .044730 1.5931 27. 340 36.010^ 1 2 6 6 375.00 317.0 1.044230 1 ,044740 1 .5933 22. 850 36.010. 1 267 365.00 335.6 1.044250 1.044670 1 .5929 19. 080 36. 070 j' 1 268 390.00 399.8 1.044240 1.044630 1 .5927 15. 350 36.010J • 269 365.00 397.0 1.044240 1.044540 1.5924 13. .530 36.010J ] f TABLE 2-9 ( C O N T I N U E D ) 2-21 RUN 271 WS T I PO PBO PC H U I 272 i 2 7 3 j 2 7 4 f'2"7 5" I 371 3 3 5 . 0 0 25 Oj_0_0_ 3 2 5 . 0 0 3 2 0 . 0 0 375.00__ "375"."00 2 9 0 . 0 0 2 3 0 . 0 0 3 9 4 . 2 _3_23_?JL 4 6 9 . 6 5 3 8 . 0 6 9 6 . 8 "8 1277" 7 4 3 . 2 9 1 9 . 2 1 . 0 4 4 2 4 0 1 . 0 4 4 2 6 0 1 . 0 4 4 5 9 0 1 . 0 4 4 6 3 0 1 . 5 9 2 4 1 . 5 9 2 6 11. 9, 480 450 3 6 . 0 1 0 3 6 . 1 0 0 : 1 . 0 4 4 5 0 0 1 . 0 4 4 2 2 0 1 . 0 4 4 1 7 0 TT04*42T0~ 1 . 0 4 4 1 9 0 1 . 0 3 6 7 6 0 1 . 0 4 4 5 8 0 1 . 0 4 4 5 1 0 1 . 0 4 4 4 0 0 " l . " 0 4 4 4 0 0 " 1 . 0 4 4 3 9 0 1 . 0 3 7 2 0 0 1 . 5 9 2 2 1 . 5 9 1 8 1 . 5 9 1 4 _ T . 5 9 1 3 1 . 5 9 1 1 1 . 5 8 9 7 580 600 , 5 9 3 ,"468" , 4 2 5 060 | 372 373 | 374 f 3 7 5~ 584 2 5 0 . 0 0 2 8 0 . 0 0 _ 3 2 5 . 0 0 2 9 0 . 0 0 " 2 9 5 . 0 0 1 4 5 . 0 0 6 7 8 . 0 5 6 8 . 4 5 0 5 . 3 " 3 9 6 7 6 " 3 4 0 . 0 3 1 4 . 3 1 . 0 3 6 7 4 0 1 . 0 3 6 7 1 0 1 . 0 3 6 7 6 0 TT03684CT 1 . 0 3 7 0 1 0 1 . 0 3 1 8 9 0 1 . 0 3 7 1 9 0 1 . 0 3 7 1 4 0 1 . 0 3 7 1 5 0 "l70371*3"0" 1 . 0 3 7 2 0 0 1 . 0 3 1 2 8 0 1 . 5 8 9 4 1 . 5 8 8 9 1_. 5 8 8 5_ " l . 5 881 1 . 5 8 8 0 1 . 5 9 1 8 2 ,3 6 8 12 1 270 930 710_ 740 360 , 9 6 3 3 5 . 9 1 0 ' 3 5 . 9 9 0 : _35.82_0 ' 3*5.960"" 3 5 . 8 8 0 2 3 . 0 0 0 2 2 . 8 2 0 : 2 2 . 6 2 0 | 2 2 . 5 5 0 "22 . 550" 2 2 . 8 2 0 ' 1 6 . 9 4 0 ; ! 584 585 585_ "586 586 _587_ 587 588 588 "589" 589 590- 1 4 5 . 0 0 2 6 5 . 0 0 2 6 5 . 0 0 "2 3 0700" 2 3 0 . 0 0 3 3 5 . 0 0 3 1 4 . 3 3 5 6 . 8 3 5 6 . 8 " 2 3 3 . 5~ 2 3 3 . 5 2 8 7 . 4 1 . 0 3 1 8 9 0 1 . 0 3 1 7 8 0 1_.031780_ ~1 ."03*1846 1 . 0 3 1 8 4 0 1 . 0 3 1 8 5 0 1 . 0 3 1 2 8 0 1 . 0 3 2 2 6 0 1 . 0 3 2 2 6 0 " l " . 0 3 2 3 5 0 " 1 . 0 3 2 3 5 0 1 . 0 3 2 3 8 0 0.0000 1 .5917 0.0000 N l . 5 9 1 7 0.0000 1 . 5 9 1 7 0 5 _ 2 9 4 13 , 9 3 3 . 0 9 6 ,470_ "320 560 240 1 6 . 9 4 0 * 1 6 . 7 8 0 . 1 6 . 7 8 OJ " 1 6 / 7 5 0 , 1 6 . 7 5 0 ' 1 6 . 7 7 0 ' 590 591 591 "592" 592 I 637 I 638 f 639 r"6'4'b~ 3 3 5 . 0 0 3 6 0 . 0 0 3 6 0 . 0 0 •"335.00" 3 3 5 . 0 0 _ 3 A 5 J L 0 0 _ 3 6 5 . 0 0 3 3 5 . 0 0 3 3 5 . 0 0 " 2 3 5 . 0 0 " 2 3 5 . 0 0 2 0 0 J L 0 0 _ "2'3"0.0"0 3 4 0 . 0 0 3 5 5 . 0 0 ' T i o V o o " 2 8 7 . 4 2 6 9 . 0 2 6 9 . 0 "*229"."8~ 2 2 9 . 8 J 3_0_L 8 _ 2~30.8 3 0 1 . 2 3 0 1 . 2 ~3 2 0 . ' 8 " 3 2 0 . 8 4 0 2 . 7 1 . 0 3 1 8 5 0 1 . 0 3 1 9 8 0 _ 1 . 0 3 1 9 8 0 _ 1,0 3*1980 1 . 0 3 1 9 8 0 1 . 0 3 2 0 8 0 1 . 0 3 2 3 8 0 1 . 0 3 2 4 3 0 1_ .032430 " 1 . 0 3 2 4 2 0 " " 1 . 0 3 2 4 2 0 1 . 0 3 2 6 0 0 0.0000 1 . 5 9 1 7 0.0000_ " l . 5Vl*7 0.0000 1 . 5 9 1 7 6 17 8 21 10 25 565 350 810_ "205 320 340 3 4 2 . 8 3 8 1 . 4 3 4 0 . 1 "25 574"" 1 . 0 3 2 0 8 0 1 . 0 3 2 0 6 0 1 . 0 3 2 0 6 0 _ " 1 7 0 3 2 1 2 0 1 . 0 3 2 1 2 0 1_._0_3_22_00_ " 1 . 0 3 2 1 8 0 1 . 0 3 2 2 1 0 1 ^ 0 3 2 2 1 0 Y . 0 3 2 23*6" 1 . 0 3 2 6 0 0 1 . 0 3 2 5 9 0 1 . 0 3 2 5 9 0 T . 0 3 2 6 2 0 ' 1 . 0 3 2 6 2 0 1 . 0 3 3 0 9 0 1 . 0 3 2 9 5 0 1 . 0 3 2 9 6 0 1 ^ 0 3 2 8 0 0 " l . 0T273Cf 0 . 0 0 0 0 1 . 5 9 1 7 0 . 0 0 0 0 "1 ."5'9'2"0~ 0 . 0 0 0 0 1 . 5 9 2 7 1 . 5 9 2 3 1 . 5 9 2 3 1 . 5 9 1 6 "1759*1*2"" 12 12 _5 5" 2 3 300 , 0 9 0 835 ,0'55" . 4 6 5 990 7 13 18 25" 310 140 300 15*0* 1 6 . 7 7 0 , 1 6 . 7 9 0 , 1 6 . 7 9 0 , " l 6 • 82 0, 1 6 . 8 2 0 , 1 6 . 8 1 0 1 6 . 8 1 0 1 6 . 8 0 0 1 6 . 8 0 0 "167920" 1 6 . 9 2 0 1 7 . 4 9 0 1 7 . 4 5 0 1 7 . 5 1 0 ' - _ 1 7 . 5 0 0 ! 17 .~5 9 0 TABLE 2-9 (CONTINUED) 2-22 [ RUN WS TI PO PBO PC H U [NO. ^ . 350.00 262.8 1.032250 I .032710 1.5910 30. .810 17.570 : 642 390.00 262.7 1 .032800 1 .032750 1.5910 38. 490 17.540 643 330.00 205.2 1.032230 1 .032700 0.0000 24. .866 17.590 • |644 295.00 298.9 1.032280 1 .032700 1.5907 16. ,346 17.590 '• 1699 330.00 1166.2 1.047680 1 .048 00p_ 0.8765 4. >210__ __45.30.0j [699 "3*30.00 1166.2 1.047680 1 • 0 4 8 6 6 6 1.5911 1. .387 45.300 [700 307.00 913.8 1.047410 1 .048100 0.8767 5. .530 44.100 1700 307.00 913.8 1.047410 1 .048100 1 .5916 1. .895 44.100 i ] 701 295.00 628.0 1.047250 1 .048160 0.8769 11. . 100 43.320 701 295.00 628.0 1.047250 1 .048160 1.5920 3 ,565 43.320 ; { 702 300.00 416.2 1.047220 1 .048160 1 .5922 8. .350 43.240 {702 300.00 416.2 1.047220 — - . 6 4 8 ~ 1 6 0 0.0000 4 . ,290 43.240 "703 340.00 358.3 1.047230 1 .048210 1.5924 14. ,450 43.230 i 1 703 340.00 358.3 1.047230 1 .048210 0.0000 7. ,540 43.230 i 704 375.00 356.9 1.047120 1 .048190 1.5923 , 17. , 830 42.800 [ 704 375.00 356.9 1.047120 1 .048190 0.0000 9. ,260 42.800 j 705 410.00 327.6 1.047280 1 .048210 1.5924 25. .586 42.880 "705 410.00 327.6 1.0472 80" 1 .048210 0.0000 13. ,360 42".'"88 0~ 706 405.00 280.8 1.047090 1 .048170 1.5924 33 ,885 42.620 ; 706 405.00 280.8 1 .047090 1 .048170 0.0000 17. ,820 42.620 i 249 370.00 235.0 1.044340 1 .044790 1.5939 13< , 100 36.. 390 I 250 370.00 238.4 1.044280 1 .044590 1.5917 12. ,710 36.200; j 251 350.00 244.9 1.044290 1 .044720 1.5935 9. ,530 36.240! "252 345.00 258.5 1.044190 1* .044780 1.5933 9< ,370 35.970: 1253 345.00 265.7 1.044190 1 .044810 1.5933 8. ,830 3 6 . 0 0 0 ! 1 254 360.00 290.1 1.044160 1 .044700 1.5929 8< ,030 3 5.880 i i 255 365.00 318.8 1.044130 1 .044690 1 .5928 7. ,020 35.820 : 256 370.00 331.0 1.044090 1 .044490 1.5922 6. ,540 3 5 . 6 9 0 1 1 257 330.00 325.0 1.044110 1 .044490 1 .5919 5. 310 35.780 : 2*58 325.00 353.8 1.044060 1 .044420 1.5915 4. 405 35.670 • 1 259 i 260 400.00 506.9 1.044100 1 .044280 1.5910 3. .367 35.740 i 350.00 594.0 1.044160 1 .044330 1.5912 1. .861 3 5 . 8 9 0 1 261 290.00 662.2 1.044100 1 .044200 1.5906 1. .018 3 5 . 7 1 0 : 262 285.00 1539.2 1.044180 1 .044100 1.5903 o. .201 35.870'- 359 245.00 655.0 1.036500 1 .035990 1.5870 0< .750 23.5701 3 59 24*5.00 655.0 1.036500 1 .035990 0.8736 2. .460 23.570! ! . : . _ . . j j TABLE 2-9 (CONTINUED) 2-23 j 1 [RUN WS TI PO PBO PC H 1 u i {NO. f360 340.00 671.6 1 .036590. l 7036000 1.5867 1. 340 23.570 ; [360 340.00 671.6 .1.036590 1.036000 0.8734 4.550 23.570 ' 361 275.00 398.6 1.036590 1.036020 1.5864 2.520 23.470 ! 361 275.00 398.6 1.036590 1.036020 0.8733 8.530 23.470 ; | 363 285.00 267,4 1.036620 ' 1.036400 1.5872 6.025 23.410 1 [363 285.00 267.4 17036620 17036400 0.8737 20.350 23 7410 ; 366 260.00 249.4 . 1 .036960 1.036580 1.5865 ' 5.790 23.610 ! j 366 260.00 249.4 1.036960 1.036580 0.8733 19.780 23.610 : {367 225.00 184.9 1.037080 1.037640 1.5864 7.755 23.660 ; 367 225.00 184.9 1.037080 1.037640 0.8733 26.610 23.660 1368 300.00 408.4 1.037170 1.036900 1.5867 2. 870 23.700 |368 ~3 007o6 "408 .4~ 1.037170 1.036900 0.8734 9.780 237700 j 369 220.00 369.3 1.037310 1.036990 0.8734 6.420 23.720 1370 240.00 623.8 1.037390 1.037090 0.8735 2.820 23,750 i i 5 7 8 220.00 342.4 1.031710 1.032120 1.5925 1 .256 17,060 ! 578 220.00 342.4 1.031710 1.032120 0.0000 0.590 17,060 ; ! 579 210.00 249.7 1.031690 1.032110 1.5923 2. 180 17.010 ' [579 210.00 249.7 ~ 7 o 3 1 6 9 6 ~"l . 0 3 2"l 10 0.0000 1.020 17.010 , [580 325.00 281.2 1.031760 1.032190 1.5927 4.250 17.010 : i 580 325.00 281.2 1.031760 1.032190 0.0000 2.065 17.010 ! 1581 330.00 233.5 1.031770 1.032180 1.5921 . 6.530 17.030 j 581 330.00 233.5 1.031770 1.032180 0.0000 3.185 17.030, [582 350.00 213.2 1 .031800 1.032250 1.5922 9.040 , 16,990 i t58 2" 350.00 213.2 "T. 0 318do "1.032250 0.0000 4.410 167"99"0 ; ^,583 360.00 208.8 1.031760 1.032210 1 .5920 10.010 16,910 ! ! 583 360.00 • 208.8 1.031760 1.032210 1.5920 10.010 16,910; [Gl~5~ 280.00 3~8"1 ."7 1.031670 1.032080 1.5913 2.917 17,430 ;616 310.00 305.4 1.031590 1.032160 1 .5914 5.460 17.330 ; 617 330.00 266.3 1.031550 1.032160 1.5915 8.460 1 7 , 2 8 0 ; : ~6'i8~~ 380.00"" 2 57.4" 1.031620 1.032170 1.5914 12.035 17.360 I 619 375.00 223.9 1.031680 1.032170 1.5917 15.880 17,430: ,'6 20 200.00 517.2 1.031670 1.032170 1.5915 0.838 1 7 , 4 2 0 1 J621 265.00 525.7 1.031600 1.032200 1.5915 1.236 17.340 ! 671 287.00 534.6 1.047010 1.048190 0.8780 4.372 42,400 ;- 671 287.00 534.6 1.047010 1.048190 1.5948 1 .560 42.400 i "672 "300.00 383.6" 1.047030 1.048260 0.8783 9.940 42.500J t J [ TABLE 2-9 (CONTINUED) 2-2U 1 I'RUN • L NO. WS TI PO PBO PC H t U ! 1;- I 6 7 2 |673 300.00 310.00 383.6 311.4 1.047030 1.048250 1.048260 1.048720 1.5951 0.8778 3. 200 15.930 42.500 ! 46.380 \ 673 1 6 7 4 1 674 310.00 340.00 340.00 311.4 331.2 331.2 1.048250 1.047710 1.047710 1.048720 .1.048470 1.048470 1 .5949 0 .8773 1.5944 5.063 17.445 5.490 46.380 44.800. 3j4_.800j fr— ' - -—~-~ $67 5 ! 67 5 ! 676 365.00 .365.00 390.00 295.2 295.2 309.7 1.047740 1.047740 1.047500 1.048330 1.048330 1.048210 0.8770 1.5939 0.8768 24.150 7.820 26.060 4~4.900 ! 44.900: 44.400 | 7 677 [678 405.00 405.00 415.00 285.4 285.4 269.4 1.047500 1.047500 1.047020 1.048490 1.048490 1 .048130 0.8773 1 .5932 1.5924 35.050 10.485 12.276 44.140 44.140 42.740 TABLE 2-10 2-25 DATA RUN NO. WS "TT PO PBO PC H U ORTFTCE "TYPE SPECIAL 15 622_ "623 624 _>2_5_ 626 627 628 "629" 630 _631_ 6 32 633 _634 6"35" 687 687 I 688 688 j 689_ | 689 f 690 692 692 | 693_ T693 | 694 [_6_9_4_ 1 69 5 ' 696 69 6_ 697 135. ""210 . 257. 240. 00 00" 00 00 250. 268. 250. ~3"4 07 280. 320. 00 00 00 00" 00 00 210 210 240 "24b 290 285 3 50" 350 385 "385" 205 205 247 245 _2_45 2 05" 423.8 "2 7 8'. "2" 813.4 575.4 1.031700 To"03i64'0~ 1.031640 1 .031600 _1__032170 1.0' 32150" 1.031950 1.031880 1.5915 "b'.oo'bb" 1.5901 1 .5899 10j» 860_ "36 ."230 11.000 19.505 17.480: T7T390" 17.700; 17.650 480.7 407.2 311.9 ~3 5*5T6~ 255.8 257.4 1.031550 1.031510 1.031600 T.0315 b<f 1.031550 1 .031490 1.031870 1.032100 1_.0 3236_0_ " l .032 360 1.032250 1.032310 1.5897 0.0000 _0.0000 oTdbo'b" 0.0000 0.0000 30.640 27.460 _41j_170 59.390" 78.540 102.070 310.00 222.6 280.00 199.2 _2 90.00 196^2 2 3 5.00" 4 75.8" 137.00 778,2 137.00 778.2 1.031510 1.031490 _1.031670_ 1.031540 1.046840 1.046840 1.032300 1.032310 1_.031340 " l .032300" 1.047910 1.047910 0.0000 0.0000 13.5411_ ~ "T ."5919 0.8 763 1.5916 128.220 131.035 __11.900 2 7. "580" 9.840 3.250 .00 772.0 .00 772.0 .00 ^84_.JL .00 484.9 .00 384.0 .00 295.0 1.046770 1.046770 1_.046710 T .0467" 10" 1.046740 1.046760 1 .047930 1.047930 1.047970 T."0'479"70"' 1.048000 1.048030 0.8763 1 .5915 1^5916_ ~6.6ooo 0.0000 0.0000 24.520 7.710 26. 250_ 13.756 33.100 55.290 ,00 295.9 ,00 ' 295.9 ,00 330. 2_ , 00 3"30"V2 ,00 511.4 ,00 511.4 .00 401.2 .00 504.8 _00_ 504.8 • 00 5*7 2". 3~ 1.046760 1.046760 1 ._04_6 780 T . 046"780" 1 .0468 00 1.046710 1 .046670 JL j_046670 1 • 04"6 8 6'6" 1.048100 1.048100 '1.048090 T. 0480"9b"" 1.048190 1.048190 0.0000 13.5407 _0_._0000 "13.5409" 1 .5922 0.0000 85.246 7.095 j3_l!_730_ 6". 8"l"0 17.200 9.075 1.048120 1.048170 1_.04817_0_ "l."6"4"8"246 0.0000 1.5922 0.0000_ T."5"9T5 21.760 25.390 _13.350 13.~6b"6" 17.590 17.520 _17_?_640 17.500" 17.570 ; 17.490: 17.500. 17.480 1J.730 ~17T55"6" 42. 170. 42.170 42.000, 42 .000' _41.800' 4l'".8bb" 41.900, 41 .950 42.000 42.000 _4 2^0 0_0 42.000" 42.080 42.080 41.800 41.700- 41__7_00 "42.25b 1 ; TABLE , 2 - 1 0 (CONTINUED) t i 2-26- 1 | RUN 1 NO e WS TI PO PBO PC H 1 i U ! [ 6 9 7 2 0 5 , 0 0 5 7 2 . 3 1 . 0 4 6 8 6 0 1 . 0 4 8 2 4 0 0 . 0 0 0 0 7 . 050 4 2 . 2 5 0 . TABLE 2 - 1 1 i ! DATA ! • RUN NO, WS TI PO • PBO PC H U -ORIFICE TYPE. S P E C I A L 30 | 679 1 0 0 , 0 0 6 4 0 . 8 1 . 0 4 7 2 4 0 1 . 0 4 8 0 4 0 0 . 8 7 6 5 8 . 220 4 3 . 3 8 0 | 679 680 | 6 8 0 r"68~r 6 8 1 I 681 1 0 0 . 0 0 2 4 0 . 0 0 2 4 0 . 0 0 " 3 0 2 7 0 0 " 3 0 2 . 0 0 3 0 2 . 0 0 6 4 0 . 8 6 8 2 . 5 6 8 2 . 5_ "5 9 577 5 9 5 . 7 5 9 5 , 7 1 . 0 4 7 2 4 0 1 , 0 4 6 8 5 0 1 . 0 4 6 8 5 0 17 0 4 6 9 70™ 1 . 0 4 6 9 7 0 1 . 0 4 6 9 7 0 1 . 0 4 8 0 4 0 1 . 0 4 7 9 3 0 _ 1 . 0 4 7 9 3 0 l 7 0 4 7 88" 6" 1 . 0 4 7 8 8 0 1 . 0 4 7 8 8 0 1 . 5 9 1 6 0 . 8 7 6 3 1 . 5 9 1 2 T . " 5 90 9 0 . 8 7 9 2 0 . 0 0 0 0 2 . 6 1 7 4 1 . 4 1 7 1 2 ^ 9 9 5 "27 .275"" 8 7 . 9 0 0 1 4 . 2 2 0 4 3 . 3 8 0 4 2 . 2 2 0 _ 4 2 . 2 2 0 4 2 7 5 7 0 4 2 . 5 7 0 4 2 . 5 7 0 I 682 | 682 S 6 84" ! 6 8 4 [_6_8_5_ 6 8 5 f 686 j 686 [""645" 6 4 6 ; 648 5 649 650 ' 6 5 1 ' 2 0 0 . 0 0 2 0 0 . 0 0 3 4 0 . 0 0 "l'5076o" 1 5 0 . 0 0 1 7 0 . 0 0 2 3 7 . 1 2 3 7 . 1 4 2 0 . 1_ " 5 1 5 7 6 5 1 5 . 6 7 4 6 . 2 1 . 0 4 6 9 0 0 -1 . 0 4 6 9 0 0 0 4 6 9 00 T ."04'69 30" 1 . 0 4 6 9 3 0 1 . 0 4 6 9 7 0 1 . 0 4 7 8 7 0 1 . 0 4 7 8 7 0 1 . 0 4 7 7 9 0 _ T'."d4"7690 1 . 0 4 7 6 9 0 1 . 0 4 7 7 5 0 0 . 0 0 0 0 1 3 . 5 3 9 2 _ _ 0 . 0 0 0 0 1 ."590 3" 0 . 8 7 5 8 1 . 5 9 0 3 4 1 . 0 0 0 3 . 300 _ 3 7 . 6 4 0 _ ""87780 2 7 . 8 9 0 5 . 4 5 0 1 7 0 . 0 0 1 1 8 . 0 0 1 1 8 . 0 0 " 1 8 0 . 0 0 ' 2 0 0 . 0 0 _ 2 6 0 . 0 0 2 5 0". 00" 2 9 0 . 0 0 2 7 0 . 0 0 "3 50 .06" 7 4 6 . 2 8 6 8 . 1 8 6 8 . 1 " 5 3 1 . 7 " 4 3 3 . 5 _440_ ! 3_ 3"5"5 . 2 3 2 8 . 8 2 5 8 ^ 0 " 2 8 4 . 4 " 1 . 0 4 6 9 7 0 1 . 0 4 7 0 4 0 1 . 0 4 7 0 4 0 T". 0 3 2 6 2 0 " 1 . 0 3 2 5 0 0 1 . 0 3 2 5 0 0 1 . 0 4 7 7 5 0 1 . 0 4 7 7 4 0 'l . 0 4 7 7 4 0 "1 " . 0 3 3 4 9 0 " 1 . 0 3 3 2 1 0 1 . 0 3 3 4 0 0 0 . 8 7 6 0 1 . 5 9 0 4 0 . 8 7 5 9 "175953"" 1 . 5 9 3 7 1 . 5 9 4 7 1 7 . 2 1 5 2 . 5 4 5 6 . 0 6 0 T 2 7 2 1 0 " 2 3 . 4 3 0 3 9 . 3 5 6 1 . 0 3 2 4 5 0 1 . 0 3 2 4 4 0 1 . 0 3 2 4 0 0 T."03"2'300" 1 . 0 3 3 4 5 0 . 1 . 0 3 3 4 9 0 1 . 0 3 3 5 0 0 ~l."03"332b" 0 . 0 0 0 0 0 . 0 0 0 0 0 ^ 0 0 0 0 "o". 0000" 3 1 . 3 4 0 5 0 . 2 3 3 _ _ 7 l . 6 6 0 _ 10*67670 4 2 . 3 3 0 4 2 . 3 3 0 42_ .330 "42 ."'46™b 4 2 . 4 6 0 4 2 . 5 6 0 4 2 . 5 6 0 4 2 . 8 0 0 4 2 . 8 0 0 T e .""26'b 1 7 . 9 6 0 1 7 . 9 4 0 17.870 17.820- 17.780 T7763G • i TABLE 2-11 (CONTINUED) 2-27' ( R U N •'; ws TI m- PBO n-;: PC vr/j u ;• I NO. ! 652 350.00 254.3 1.032300 1.033190 0.0000 126.970 17.630' 653 36 0__) 0 _2_35 .7 !• 0_3 22 20 1.033170 13.5430 12.8 9 6 17.440 "654 T3*5T0"0 761^6 1.032290 1.033100 1.5933 3.273 17.560 655 300.00 462.1 1.032110 1.033030 0.0000 26.540 17.240; 656 205.00 354.1 1.032200 1.033090 1.5931 37.940 17.390! APPENDIX 3 - ERROR ANALYSIS I Tabulation of the S t a t i s t i c a l Results A s t a t i s t i c a l analysis was carried out on each experimental run based on a method given by Parratt (19) and summarized by Ratkowsky (20). A 95$ confidence i n t e r v a l was calculated i n each case for K and Rerj. The error analysis results were used i n two d i f f e r e n t ways. F i r s t l y , the 95% confidence i n t e r v a l allowed a decesion to be made as to whether an expermental run, represented by an apparently w i l d point, should be ••. repeated or not. Secondly, i t allowed a check on the experimental graphs such as Figure 10 i n which a comparison between two curves gave the required information. In Figure 10, the non-intersection of confidence i n t e r v a l s on K for the Sharp.and Standard O r i f i c e plates confirmed with 95% confidence that there was a s i g n i f i c a n t difference between curves." The other graphs were checked i n a s i m i l a r manner. .' The results of these calculations are contained i n Tables 3-1 to 3-11: i n c l u s i v e . * . TABLE 3-1 3-2 j 95% CONFIDENCE INTERVAL.FOR K AND RED' f-RUN K~~~~ '95% R~ED '95%' WO, CONFIDENCE ' CONFIDENCE ! INTERVAL INTERVAL j O R I F I C E TYPE 1.0 INCH STANDARD f i b 5 0,6205 0.6246 0.6163 7144.39 7150.54 7138.25 .! i 106 0.6196 0.6237 0 .6154 6560.13 6565.84 6554.41 i 107 0.6197 0.6239 0.6155 5936.95 5944.27 5929.62 i 108 0.6215. 0.6256 0.6173 5493.18 5499.83 5486.53 109 0.6217 0.6259 0.6175 5166.01 5171.92 5160.11 1 1 0 0.6213 0.6255 0.6171 4742.51 4747,68 4737.35 i 111 0.6237" 0.6279 0.6195 4322.81 4328.58 4317.05 ; ; 1 1 2 N 0.6237 0.6279 - 0.6195 3963.72 3969.35 , 3958.09 i 113' 0.6267 0.6310 0 .6225 3541.20 3546.46 3535.94 114 115 0.6282 0.6325 0.6240 3132.65 • 3137.41 3127.89 0.6301 0.6344 0 .6258 2727.95 2732.69 2723.21 116 0.6337 0.6381 0.6294 2361.19 2365.75 2356,62 117 0.6391 0.6435 0.6347 2178.30 2182.37 2174.23 , 118 0.6791 0.6840 0.6742 2042.48 2048.18 2036,77 ; 131 . 0.7091 0.7139 0.7043 213.04 213,34 212.75 ! i 132 0.7100 0.7148 0.7051 205.33 205.61 205,05 i 1 133 0.7107 0.7155 0.7058 205 .57 205.85 205.29 j ; 1 3 4 0.7036 0.7084 0.6988 191.83 ' 192.12 191,55 ! t 135 t 136 ' 0.7138 0.7187 0.7090 176.88 177,11 176.65 | 0.7172 0 .7220 0.7123 160.53. 160.74 160,33 J .137 0.7199 0.7248 0.7149 151.17 151,38 150.96 i 138 0.7209 0.7258 0.7159 124.31 124.48 124,13 ; 139 0.7212 0.7262 0.7161 , 109.53 109.73 109.33 j 140 0.7264 . 0.7316 0.7212 ; 84.58 84.73 84,42 1 r 1 4 l 0.7247 0.7302 0.7193 71.85 72.02 71.68 i I 142 0.7128 0.7196 0.7060 47.07 47.24 46,91 i r : i 4 3 • 0.6735 0.6880 0.6590 24.18 24.30 24.06 i | 565 0.7144 0.7194 0.7094 209.21 209.57 20 8,8 5 I ! 506 0.7095 0.7145 0.7045 209.21. 209.57 208.85 j- ; 506 0.7124 0.7175 0.7074 217.65 218.08 217.21 f 506 0.7053 6.7103 • 0.700 2 "2 I T . 6 5 218.08 217.21 j f RUN E NO. TABLE 3-1 (CONTINUED) 3-3 95 % CONFIDENCE^ INTERVAL" RED 95$ J^ONFID_ENC_E_ INTERVAL | RUN TABLE 3-2 95 % CONFIDENCE INTERVAL FOR K AND RED j.507 0.7033 0.7082 0.6984 2 9 4 . 0 3 294.59 2 9 3 . 4 6 ,;50 7 0.6997 0.7045 0.6949 2 9 4 . 0 3 294.59 2 9 3 . 4 6 •| 508 0.6885 . 0.6932 0.6839 4 2 7 . 6 7 428.37 426.97 :508 0.6955 0 . 7 0 1 9 0.6890 4 2 7 . 6 7 428.37 426.97 \509 0.6771 0.6816 0.672 5 5'8"2T6'0 583.43 581.78 . ;509 0.6821 0.6872 0.6771 5 8 2 . 6 0 . 583.43 581.78 510 0.6674 0.6719 0.6630 ' 746.83 747.72 745.95 510 0.6716 0". 676'2 0 . 6"6"7 0 746.83 747.72 745.95 511 0.6637 0.6681 0.6593 861.09 862.03 860.15 1 511 0.6680 0.6725 0.6635 861.09 862.03 860.15 f 5 12 0.6612 0 . 6 6 56 0.6568 993.38 994.52 992.24 \ 513 0.6574 0.6618 0.6531 1122.20 1 1 2 3 . 4 3 1120.98 1514 0.6529 0.6572 0.6486 1260.22 1 2 6 1 . 6 0 1258.85 515 0.6486 0.6529 0.6443 1385.54 1387.05 1384.03 95 % RED CONFIDENCE INTERVAL. 95% CONFIDENCE INTERVAL "ORTFTC E "7 YP E 1T5~TN CH STANDAR D 0.6238 0.6179 10018.14 "0". 6 2 4 1 ' — o .6' 18 3 9 3 5"8T 3'4 0.6248 0.6190 8698.91 0.6251 0 .6193 8131^77 "0"T6~2~6'5 0". 6"206 717"5 . 70 0.6278 0.6220 6359.00 0.6295 0.6236 5595.98 "0V6 29 3 0*76 2 35 5"0 2 07l"3" ! 87 0 . 6 2 0 9 f "8 8™ 0 . 6 2 1 2 I 89 0 . 6 2 1 9 90 0 . 6 2 2 2 r ~ 9 T 0 . 6 " 2 3 5 ? 92 0 . 6 2 4 9 i 93 0 . 6 2 6 6 ! 9 4 " ~ " 0 . 6 2 6 4 1 0 0 2 7 . 2 5 9 3 6 6 7 3 0 " 8 7 0 6 . 2 1 8 1 3 9 . 1 6 ~7r81772 6 3 6 4 . 19 5 6 0 0 . 9 9 50"24'796" 1 0 0 0 9 . 0 3 ~"9'3 5 07 3"9" 8 6 9 1 . 6 1 _ 8 1 2 4 . 3 8_ 7 1 6 9 . 6 9 6 3 5 3 . 8 0 5 5 9 0 . 9 7 50T5". 3 T TABLE 3 - 2 (CONTINUED.) 3-U f 95 0 . 6 2 6 7 0 . 6 2 9 6 0 . 6 2 3 8 4 5 6 0 . 7 9 4 5 6 4 . 7 6 4 5 5 6 . 8 1 j f I 96 0 o 6 2 7 2 0 . 6 3 0 2 0 . 6 2 4 3 4 0 6 8 . 8 1 4 0 7 2 . 7 8 4 0 6 4 . 8 4 1 I- i — 97- 0 . 6 2 9 6 " " 6."6 32 5 0 . 6 2 6 6 3 6 9 0 . 0 7 3 6 9 3 . 7 8 3 6 8 6 o 3 6 98 Oo 5 9 0 2 0 . 5 9 3 0 0 . 5 8 7 4 3 7 9 0 . 9 5 3 7 9 4 . 8 2 3 7 8 7 . 0 8 ; 99 0 . 6 2 8 3 0 . 6 3 1 4 • 0 . 6 2 5 1 3 7 0 4 . 8 2 3 7 1 2 . 1 5 3 6 9 7 . 4 8 roo 0 . 6 3 1 9 0 . 6 3 4 9 0 . 6 2 8 9 3 2 2 3 . 7 7 3 2 2 7 . 1 1 3 2 2 0 . 4 3 i 101 0 . 6 3 1 9 0 . 6 3 4 9 0 . 6 2 8 9 2 9 9 3 . 4 2 2 9 9 6 . 6 8 . 2 9 9 0 . 1 6 i 102 0 . 6 3 6 4 0 . 6 3 9 5 0 . 6 3 3 4 2 5 8 0 . 1 5 2 5 8 3 . 2 1 2 5 7 7 . 0 8 < "103 0 76426™ 0 . 6 4 5 6 0 . 6 3 9 6 2 0 9 6 . 3 9 2 0 9 8 . 4 1 2 0 9 4 . 3 8 104 0 . 6 6 2 1 0 . 6 6 5 5 0 . 6 5 8 6 1 4 2 4 . 9 2 1 4 2 7 . 3 3 , 1 4 2 2 . 5 1 , L 151 0 . 7 0 8 0 0 . 7 1 1 5 0 . 7 0 4 6 3 2 3 . 1 2 3 2 3 . 4 8 3 2 2 . 7 6 152 . 0 . 7 0 9 9 0 . 7 1 3 3 0 . 7 0 6 5 3 0 2 . 8 0 3 0 3 . 1 0 3 0 2 . 5 0 [ 153 0 . 7 1 2 8 0 . 7 1 6 2 0 . 7 0 9 4 . 2 7 8 . 8 3 2 7 9 . 0 9 2 7 8 . 5 6 |' 154 0 . 7 1 5 3 0 . 7 1 8 7 0 . 7 1 1 9 2 6 1 . 8 7 2 6 2 . 1 1 2 6 1 . 6 3 "155 " 0 . 7 1 8 6 0 . 7 2 2 0 0 . 7 1 5 1 2 3 6 . 4 0 2 3 6 . 6 2 2 3 6 . 1 8 i 156 0 . 7 2 1 8 0 . 7 2 5 2 0 . 7 1 8 3 2 0 6 . 0 2 2 0 6 . 2 3 2 0 5 o 8 0 1 157 0 . 7 2 4 4 0 . 7 2 7 9 0 . 7 2 0 9 1 7 9 . 8 4 1 8 0 . 0 0 1 7 9 . 6 7 i 158 0 . 7 2 8 4 0 . 7 3 2 1 0 . 7 2 4 8 . 1 5 5 . 7 6 - ^ 1 5 5 . 9 4 1 5 5 o 5 7 ! 159 0 . 7 2 8 8 0 . 7 3 2 5 0 . 7 2 5 0 1 3 6 . 8 5 1 3 7 . 0 3 1 3 6 o 6 7 ' ! i 160 0 . 7 3 0 3 0 . 7 3 4 3 0 . 7 2 6 3 1 1 1 . 5 6 1 1 1 . 6 8 l l l o 4 3 r ~16 l " "o".7'293. 6". 7 346 0 . 7 2 3 9 7 9 . 5 0 7 9 . 6 4 7 9 . 3 7 . j 162 0 . 7 1 7 5 0 . 7 2 7 0 0 . 7 0 7 9 • 5 1 . 6 4 5 1 . 7 6 5 1 . 5 2 522 0 . 7 - 1 7 6 0 . 7 2 1 2 0 . 7 1 3 9 2 6 1 . 2 4 2 6 1 . 5 8 2 6 0 . 8 9 1 522 0 . 7 1 4 3 0 . 7 1 8 3 0 . 7 1 0 3 2 6 1 . 2 4 2 6 1 . 5 8 2 6 0 . 8 9 j I 523 • 0 . 7 1 1 0 0 . 7 1 4 6 0 . 7 0 7 4 2 9 2 . 3 1 2 9 2 . 7 2 2 9 1 . 9 1 t t *> 523 0 . 7 0 4 8 0 . 7 0 8 6 0 o 7 0 1 0 2 9 2 . 3 1 2 9 2 . 7 2 2 9 1 . 9 1 i f 524 6. 7 0 0 7 0 . 7 0 4 1 0 . 6 9 7 4 4 0 1 . 1 2 4 0 1 . 5 5 4 0 0 . 7 0 : \ 5 2 4 0 . 6 9 6 4 0 . 6 9 9 8 0 o 6 9 3 1 4 0 1 . 1 2 4 0 1 . 5 5 4 0 0 . 7 0 ; i iL 525 0 . 6 9 5 6 0 . 6 9 8 9 0 . 6 9 2 2 5 8 7 . 3 3 5 8 8 . 0 0 5 8 6 . 6 6 | 5 2 5 0 . 6 8 3 6 0 . 6 8 6 8 0 o 6 8 0 4 5 8 7 . 3 3 5 8 8 . 0 0 5 8 6 . 6 6 , 526 Oo 6 7 5 6 0 . 6 7 8 7 0 . 6 7 2 5 7 3 4 . 9 6 7 3 5 . 6 8 7 3 4 o 2 4 : i 526 0 . 6 7 6 8 0 . 6 8 1 3 0 . 6 7 2 3 •' 7 3 4 . 9 6 7 3 5 . 6 8 7 3 4 . 2 4 "5 2 7 0 . 6 6 8 8 0 . 6 7 1 9 0 . 6 6 5 7 8 8 9 . 2 0 8 9 0 . 1 0 8 8 8 o 2 9 ! 528 0 . 6 6 4 0 0 . 6 6 7 1 0 . 6 6 0 9 1 0 4 2 . 6 1 1 0 4 3 . 7 1 1 0 4 1 . 5 1 f. 528 0 . 6 6 8 1 0 . 6 7 1 6 0 . 6 6 4 6 1 0 4 2 . 6 1 1 0 4 3 , 7 1 1 0 4 1 . 5 1 1 529 0 . 6 5 9 7 0 . 6 6 2 8 0 . 6 5 6 6 1 1 9 6 . 5 4 1 1 9 7 . 6 9 1 1 9 5 . 3 9 529 " 0 . 6 6 6 1 0 . 6 6 9 4 , 0 . 6 6 2 8 1 1 9 6 . 5 4 1 1 9 7 . 6 9 1 1 9 5 . 3 9 \ i L 530 0 . 6 5 6 4 0 . 6 5 9 5 0 . 6 5 3 3 1 3 1 4 . 1 3 1 3 1 5 . 4 3 1 3 1 2 . 8 3 j f- 1 530 0 . 6 6 0 2 0 . 6 6 3 4 " 0 . 6 5 6 9 1 3 1 4 . 1 3 1 3 1 5 . 4 3 1 3 1 2 . 8 3 ; TABLE 3-3 i 3-5" • i 95 % CONFIDENCE INTERVAL FOR K. AND RED RU N '"" ~K 95% RED 9 5~% NO. CONFIDENCE CONFIDENCE INTERVAL INTERVAL O R I F I C E TYPE 2.0 INCH STANDARD 1 1 1 9 0.6172 0 76196 07~6T4~8* 1T6T8 . 21 Ti"62"9.77 '71606.65 , 120 0.6191 0.6215 0 .6167 10977.78 10987.79 10967.78 ".' 1 2 1 0.6162 0.6186 0.6138 10129.21 10138.07 10120.35 : 1 2 2 0 . 6 2 0 5 0.6228 0.6181 9218.54 9226.71 9210.38 • 123 0.6208 . 0.6231' 0.6184 7660.89 7667.58 7654.20 • 124 0.6221 0.6245 0.6197 6619.32 6624.74 6613.91 i 12 5 " 0762 36 ""0 76260 "076212 5730.77 , 5735.97 5725.56 126 0 . 6 6 4 6 0.6671 0.6620 5271.13 . 5276.06 5266.21 ; i t 127 0.6240 0.6264 0.6217 4449.69 4453.33 4446.05 ! < 128 0.6268 0.6292 , 0.6244 3932.43 3936.52 3928.35 129 0.6289 0.6314 0 .6264 3412.70 3416.62' 3408.79 1 130 0.6374 0.6399 0.6348 2480.51 2483.23 2477.79 r~ 7 . 4 4" 0.6934 0.6962 0.6906, 389.54 389.92 "389.16 I 145 0 . 6 9 6 9 0.6997 0.6941 352.59 352.93 352.25 ; f 146 0.7014 0.7042 0.6986 3 1 5 . 6 6 315.94 315.39 i j 147 0.7051 0.7080 0.7023 284.17 284.46 283.89 , r 148 0.7087 0.7115 0.7058 257.32 257.58 257.07 j [ 149 0.4367 0.4384 0.4349 142.46 142.60 142.32 ! j" "150" 0 . 7 1 4 8 " 07717 8""* 0 . '7118" "T997?7*~ 199.60 199.15 , 1* 1 5 1 0.7210 0.7241 0.7179 172.68 172.87 172.50 j 152- 0.7211 0.7243 0.7179 160.05 160.20 159.91 j 153 . 0.7238 0.7273 0.7202 136.12 136.25 1 3 5 . 9 9 . : t 154 0.8445 0.8521 0.8369 96. 16 96.28 96.03 ' u 1 5 5 0.5820 0.5946 0.5694- 39.33 3 9 . 4 4 3 9.23 .' "516" 0.6897 0.6933" 0.6860 316.77 317.15 316.3*9 . 517 0.6842 0.6870 0.6815 510.15 510.70 509.60 , 517 0.6788 0.6815 0.6761 510.15 510.70 509.60 ; : 518 0.6760. 0.6787 0.6733 662.96 663.56 662.36 I 518 0.6719 0.6744 0.6693 662.96 663.56 662.36 !- i I- 519 0.6627 0.6652 0.6602 907.38 908.19 906.56 j 5 1 9 076696""" 0.6739. 0.6652 907.38 908.19 906.56 i * TABLE 3-3 (CONTINUED) 3-6 i 520 0.6571 0.6597 0.6545 1102.38 11 0 3 . 41 1101.35 ! 520 0.6607 0.6641 0.6573 1102.38 11 0 3 . 41 1101.35 " 521 0"."670 5 0.6 73 3 6.6677 662.00 6 6 3 . 03 660.97 95% CONFIDENCE INTERVAL FOR K AND RED RUN' K 9 5 J _ RED 95 % ~NO. CONFIDENCE CONFIDENCE INTERVAL INTERVAL ORIFTCE TYPE 1.0 INCH SHARP \ 16 0.6305 0.6347 0.6263 6799.91 6807.44 6792.37 1 J 1 7 0.6203 0.6245 0.6162 6717.33 6725.16 6709.49 ! 18 0.6195 0.6236 0.6153 6188.11 6195.47 6180.76 j 19 0.6201 0.6243 0 .6160 6331.71 6339.23 6324.18 ! 20 0.6208 0.6249 "0.6166 5918.92 5926.51 5911.34 j 21 0.6202 0.6243 0 .6160 6084.86 6091.96 6077.76 j 22 0.6249 0.6291 0.6207 5527.69 5534.91 5520.46 1 23 0.6281 0.6324 0.6239 4959.02 .. 4966.07 4951.98 J 24 0.6285 0.6328 0.6243 . . 4598.91 4606.06 4591.75 | | 25 0.6297 0.6340 0.6254 4168.44 4175.25 4161.63 ! S 26 0.6268 0.6311 0.6225 .3 705.20 3 712.77 3697.64 | 65 ' 0.6285 0.6328 0.6243 2919.13 2923.10 2915.16 | 66 0.5978 0.6018 0.5937 . 2709.57 2713.89 .2705.25 j | 67 0.6261 0.6303 . 0.6219 2371.52 2374.50 2368.54 : 68 0.6294 0.6336 0.6251 .' 2076.46 2079.69 2073.23 ' 69 0.6339 0.6382 0.6295 ' 1982.85 1986.66 1979.04 ! i 7 0 0.6370 676'4r5 " 0;"632 5 17 2 6"." 9 5 1731.29 172 2761 ; 71 0.6436 0 .6484 0.6389 1146.59 1150.34 1142.85 | 1 72 0.6379 0 .6430 0.6328 745.39 748.10 742.69 j 163 0.6750 0.6795 0.6704 200.80 201.05 200.56 f 164 0.6745 0.6790 0.6699 184.65 184.86 184.44 L 165 0.6762 0.6808 0.6716 171.50 171.72 171.27 i 166 0.6784 6.6829 0.6738 153.90 154.10 15 3.71 TABLE 3-4 (CONTINUED) 3-7 i i I RUN K - 9 5 % RED 95 % I NO. - __ CONFIDENCE CONFIDENCE | " " . " "INTERVAL ' INTERVAL } 167 0.6831 0.6877 0.6784 133.88 134.06 133.71 7 168 0.6887 0.6934 0.6839 109.24 109.41 109.07 , \ 169 0.6888 0.6936 0.6840 97.52 97.69 97.34 i I 170 0.6966 0.7016 0.6917 86.29 86.45 86.13 172 ' 0.6999 0.7053 0.6945 68.15 68.32 67.99 • 173 0.7157 • 0.7215 0.7098 . 56.38 56.46 56.30 174 • 0.7207 0.7337 0.7077 30.20 30.32 30.09 ' 537 0.6787 0.6840 0.6733 145.28 145.82 144.75 537 0.6769 0..6827 0.6712 ' 145.28 145.82 • 144.75 538 0.6697 0.6745 0.6649 235.26 235.89 234.63 538 0.6674 0.6722 0.6626 235.26 235.89 234.63 539 0.6626 0.6671 0.6580 333.53 334.14 332.92 i 539 £.6595 0.6640 0.6550 333.53 334.14 332.92 ' 540 0.6564 0.6608 0.6520 4 3 2 . 18 432.89 431.47 1 540 0.6620 0.6677 0.6563 432.18 432.89 431.47 1 541 0.6534 • 0.6578 0.6491 550.09 550.82 549.35 ' r 541 6.6595 0.6644 0.6546 550.09 • 550.82 549.35 , 1 542 0.6513 0.6556 0.6470 653.24 654.11 652.37 I 542 0.6560 0.6606 0.6515. 653.24 654.11 652.37 ! 543 0.6490 0.6532 0.6447 761.79 762.64 760.94 j [ 543 0.6512 0.6556 . 0.6468 761.79 762.64 760.94 . i 544 0.6504 . 0.6547 0.6460 852.31 853.26 851.37 ! r 545 0.6466 0.6509 0.6423 , 980.63 981.69 979.58 ! ! 546 0.6468 0.6511 0.6425 1095.83 1097.09 1094.58 j 1 547 ' 0.6461 0.6504 0.6418 1236.41 1237.86 1234.97 548 0.6449 0.6491 0.6406 1382.12 1383.76 1380.48 ; 1 ! I TABLE 3 - 5 9 5 $ CONFIDENCE INTERVAL FOR K AND RED | RUN~~~ K 95% ~ "RED 95% NO. CONFIDENCE'" CONFIDENCE [ INTERVAL ; INTERVAL ii j O R I F I C E TYPE 1 . 5 INCH SHARP \ 3 7 0 . 6 3 0 0 0 « . 6 3 3 0 0 « , 6 2 7 0 9 8 0 4 . 7 9 9 8 1 5 . 8 6 9 7 9 3 . 7 2 ; 3 8 0 . 6 2 2 4 0 « . 6 2 5 4 0 . , 6 1 9 5 9 4 9 5 . 3 9 9 5 0 5 . 2 5 9 4 8 5 . 5 2 . 3 9 0 . 6 2 4 8 0 « . 6 2 7 8 0 . , 6 2 1 9 8 9 4 5 . 3 5 8 9 5 4 . 3 5 8 9 3 6 . 3 4 ! 4 0 0 . 6 2 4 3 0< , 6 2 7 3 0 . , 6 2 1 3 8 4 8 1 . 0 5 8 4 9 1 . 3 3 8 4 7 0 . 7 7 : 4 1 0 . 6 1 7 2 0 . 6 2 0 1 0 . , 6 1 4 2 7 7 4 7 . 6 6 7 7 5 6 . 7 1 7 7 3 8 . 6 1 : 4 2 0 . 6 2 3 6 0 . , 6 2 6 5 0, , 6 2 0 6 7 1 2 4 . 9 4 7 1 3 4 . 2 6 7 1 1 5 . 6 2 ; 4 3 0 . 6 2 4 5 0 . , 6 2 7 5 0, , 6 2 1 5 6 3 0 3 . 5 6 6 3 1 1 . 9 8 6 2 9 5 . 1 5 i j 4 4 0 . 6 2 5 3 .o< , 6 2 8 2 Oi , 6 2 2 3 5 7 2 0 . 3 3 5 7 2 7 . 8 1 5 7 1 2 . 8 5 i 4 5 . 0 . 6 2 5 7 0 « , 6 2 8 7 0, , 6 2 2 6 5 1 6 2 . 6 6 5 1 6 9 . 8 4 5 1 5 5 . 4 8 j 4 6 0 . 6 2 2 5 0 « , 6 2 5 5 0, , 6 1 9 6 5 1 2 9 . 0 9 . 5 1 3 4 . 8 7 5 1 2 3 . 3 1 ! 4 7 0 . 6 2 4 7 0 « , 6 2 7 7 ' 0 . , 6 2 1 7 5 0 4 1 . 3 3 5 0 4 7 . 5 5 5 0 3 5 . 1 2 ; 4 8 0 . 6 2 6 1 o . , 6 2 9 1 0 , , 6 2 3 2 4 7 5 3 . 9 0 4 7 5 9 . 3 5 4 7 4 8 . 4 5 i 4 9 0 . 6 2 8 2 0 . , 6 3 1 2 0 , , 6 2 5 3 4 5 8 8 . 6 3 4 5 9 3 . 8 1 4 5 8 3 . 4 6 ! 5 0 0 . 6 2 8 4 0< , 6 3 1 4 0 . , 6 2 5 3 4 2 4 3 . 2 5 4 2 4 9 . 4 1 4 2 3 7 . 0 9 j 5 1 0 . 6 2 8 7 o . , 6 3 1 7 0 . . 6 2 5 7 3 8 4 9 . 2 9 „ 3 8 5 4 . 0 3 3 8 4 4 . 5 4 ! 0 . 6 2 9 0 0 - , 6 3 2 0 0 . , 6 2 6 0 3 6 5 0 . 7 9 3 6 5 5 . 8 6 • 3 6 4 5 . 7 1 | 5 3 0 . 6 2 7 3 o . , 6 3 0 3 0 . . 6 2 4 3 3 3 3 1 . 7 7 3 3 3 6 . 3 0 - 3 3 2 7 . 2 3 | I 5 4 0 . 6 3 1 7 o . , 6 3 4 8 0 . , 6 2 8 7 2 9 4 2 . 1 1 2 9 4 6 . 3 8 2 9 3 7 . 8 4 | f 5 5 0 . 6 3 6 7 o . , 6 3 9 8 0 « , 6 3 3 5 2 4 6 4 . 4 4 2 4 6 8 . 4 6 2 4 6 0 . 4 1 j 1 5 6 0 . 6 4 6 1 -. Q« , 6 4 9 3 , 0 . . 6 4 2 8 1 7 7 9 . 9 5 1 7 8 3 . 0 1 1 7 7 6 . 8 9 i 5 7 0 . 6 4 7 8 0 « , 6 5 1 8 0 - , 6 4 3 8 1 0 7 6 . 9 6 1 0 7 9 . 6 9 1 0 7 4 . 2 3 ! : 1 8 4 0 . 6 6 8 8 0 « , 6 7 2 0 0 . , 6 6 5 6 3 1 1 . 5 9 3 1 1 . 8 6 3 1 1 . 3 2 ; 1 8 5 0 . 6 7 5 3 o . , 6 7 8 5 0, , 6 7 2 1 •' 2 4 4 . 7 0 2 4 4 . 9 1 2 4 4 . 5 0 i 1 8 6 0 . 6 7 0 4 o . , 6 7 3 6 0 . , 6 6 7 2 2 8 3 . 4 7 2 8 3 . 7 3 2 8 3 . 2 1 j 1 8 7 0 . 6 7 0 1 0 . , 6 7 3 3 0 , • 6 6 6 8 2 7 2 . 7 2 2 7 3 . 0 1 2 7 2 . 4 4 " " ; ' 1 8 8 0 . 6 7 5 3 0« , 6 7 8 5 0< , 6 7 2 0 2 2 4 . 3 2 2 2 4 . 5 2 2 2 4 . 1 2 ; 1 8 9 0 . 6 7 8 3 0« , 6 8 1 5 0 . . 6 7 5 0 1 9 4 . 8 6 1 9 5 . 0 2 1 9 4 . 7 1 ; t 1*90 0 . 6 8 2 6 0 « , 6 8 5 9 0 . , 6 7 9 3 1 7 2 . 6 3 1 7 2 . 7 8 17 2 . 4 9 ; I 1 9 1 0 . 6 8 5 8 o . , 6 8 9 2 0 . . 6 8 2 4 1 5 6 . 1 9 1 5 6 . 3 4 1 5 6 . 0 4 I : 1 9 2 0 . 6 9 0 3 0 . 6 9 3 8 0 . . 6 8 6 8 1 3 6 . 5 9 1 3 6 . 7 2 • 1 3 6 . 4 6 { I 1 9 3 0 . 6 8 9 4 0« . 6 9 3 0 0 . 6 8 5 7 1 2 1 . 6 0 1 2 1 . 7 6 1 2 1 . 4 4 | TABLE 3-5 (CONTINUED) 3-9 j RUN K 95 % RED 95$ I NO. CONFIDENCE ' , CONFIDENCE I " ~~ TNTERVAL INTERVAL" h 194 0.6988 0.7030 0.6946 97.70 97.85 97.54 1 — 195 0.7067 0.7149 0.6984 57.19 57.33 57.05 • 557 0.6724 0.6760 0.6688 257.55 258.06 257.04 | 7 ft 557 0.6672 0.6711 0.6634 257.55 258.06 257.04 ! 558 0.6695 0.6728 0.6662 382.01 382.55 381.47 ; i 558 0.6640 0.6672 0.6608 • 382.01 382.55 3 81.47 j |_ 559 0.6655 0.6687 0.6623 485.69 486.27 48 5.12 1 h 559 0.6613 0.6644 0.6582 485.69 486.27 485.12 : ! 560 0.6560 0.6590 0.6530 652.66 653.36 - 6 51.96 '• L 560 0.6583 0.6631 0.6535 652.66 653.36 651.96 ' "56T 6.6537 0.6567 0.6507 746.50 747.16 745.84 | 561 0.6578 0.6619 0.6536 746.50 747.16 745.84 ; 562 0.652O , 0.6550 0.6489 858.98 859.94 858.03 j 562 0.6519 0.6556 0.648 2 858.98 , 859.94 858.03 : 563 0.6516 0.6546 0.6485 984.58 985.66 983.51 ; 563 0.6548 0.6583 0.6514 984.58 985.66 983.51 ; 564 0.6498 0.6529 0.6467 1150.08 1151.33 1148.82 | 564 0.6548 0.6581 0.6515 1150.08 1151.33 1148.82 j 565 0.6520 0.6552 0.6489 1255.43 1256.80 1254.07 : 565 0.6554 0.6586 0.6521 1255.43 1256.80 1254.07 j TABLE 3-6 i i I 95% CONFIDENCE INTERVAL FOR K AND RED 1 I i i RUN K 95% RED 95 NO. CONFIDENCE / CONFIDENCE j INTERVAL INTERVAL 1 j ORIFICE TYPE 2.0 INCH | 7~3 : 0T6T66 6T6T9T 74 0 .6171 0 .6195 75 0 . 6 1 7 0 0 . 6 1 9 3 7 6 o". '6161 0Y6184' i SHARP j ; j "6.6140^ T.2438.10 12453.53 12422.68 j 0.6147 11411.53 11422.23, 11400.83 !- 0.6146 10830.65 10839.88 10821.42_J "0.6T37 9918784 9927.29 99T6739 > TABLE 3-6 (CONTINUED) 3-10 RUN NO. 77 ~7T 79 80 ~ 8 f 82 _8 3_ 84 85 __86_ 172 173 174 175 176 177 T78" 179 180 181 182 183 "549" 550 550 549 551 551 "552"" 552 553_ 5"54 555 556 • 95£ CONFIDENCE^ "'"INTERVAL R E D 95£ CJDNFI DENCE_ " INTERVAL 0.6188 "6V6T6"0" .0.6204 0.6200 "6 ."6 2 06™ 0.6218 _0._622AL 0.6207 0.6281 _0.6358_. 0".657i 0.6590 0.6597 0.6610 0.6642 0.6662 0."6727" 0.6760 0.6781 0.6846 0.6816 0.6835_ "0.6660 0.6590 0.6550 0.6579 0.6561 0.6526 076518" 0.6499 0.6465 0.6479 0.6461 0.6459 6212 6T84" 6227 6223 6230" 6242 6_248_ "6231 6306 6384 6 5*98" 6617 6623 0.6165 9016.61 9024.19 0.6137 0.6180 0.6176 "6'76183~ 0.6194 0.6200 0.6184 0.6256 _0.6332 0".6 545~ 0.6563 0.6571 7969.73 6846.89 5844.42 ""5386.lV 4708.66 _4204. 60 3345.72 2502.12 _2007.80__ 428.1*9 403.00 350.90 7976.60 6852.71 5849.32 r5 3 90.7 3" 4712.82 4208.31 3348.76 2505.26 _2010_.14 428.62" 403.41 351.21 6636 6669 6689 6754 6788 6812 0.6583 0.6616 0.6635_ "676699 0.6731 0.6750 333.95 287.86 244.02 "20 5.64" 179.11 165.90 334.26 288.10 244 J L25_ 205.84 179.29 166.13 6879 6863 692 3_ "6691 6617 6578 0.6813 0.6769 0.6747 ~0".""6629"" 0.6563 0.6522 137.51 97.30 _ 6 5 _ 7 8 275". 09" 400.22 400.22 137.64 97.42 _ 6 5 » 8 J 2 75" .~4 4" 400.66 400.66 6617 6587 6551 6 544" 6524 649 0_ '6 564 6486 6484 0.6540 0.6535 Oj.6 501' " 0 . 6"49~2" 0.6475 0.6440 275.09 518.83 518.83 62"9"."20" 629.20 795.39 275.44 519.31 519.31 62 9 .7 9" 629.79 796.23 0.6454 0.6436 0.6434 713.47 914.26 1007.60 714.25 915.11 1008.54 9009, 7962. 6841. 5839. "5381". 4704. 4200. 0_4_ 87 07 51 58 49 89 3342. 2498. 2005. 427. 402. 350. 68 97 45 75- 59 58 333. 287. 24 3. 20V. 178. 165. 65 62 79_ 45 92 67 137. 97. 65. T 7 4 . 399. 399. 38 19 70 74 78 78 274. 518. 518. ""62 87 628. 794. 74 35 35 62" 62 55 712. 913. 1006. 69 40 66 TABLE 3-7 3-11 ! 95% CONFIDENCE INTERVAL FOR K AND RED RUN K ~~ 95% ~ RED 95"%' NO. CONFIDENCE' CONFIDENCE l INTERVAL INTERVAL r ! O R I F I C E ! TYPE G . S . BETA = 0.2 i j 226 0.7238 0« 7333 0.7142 61.36 61.50 61.23 227 0.7173 0. 7269 0.7077 56.37 56.55 56.19 1 [ 228 0.7165 0. 7261 0.7069 51.29 51.46 51.12 i ! 229 0.7152 o. 7248 0.7056 47.22 47.37 47.06 j 230 0.7134 o. 7229 0.7039 42.48 42.60 42.35 j 1 231 0.7068 o. 7164 0.6971 36.53 36.68 36.38 1 f ~ 2 3 2 0.7008 o. 7104 0.6911 29.84 29.98 29.70 | j 233 0.7260 o. 7362 0.7159 23.57 23.69 23.45 ! | 384 0.7014 o. 7110 0.6917 137.65 138.27 137.02 i r~38 5 0.7140 0« 7243 "0.7038 96.53 97.11 95.94 i 386 , 0.7157 0. 7257 0.7058 58.07 58.34 57.79 396 0.7167 • 0 . 7263 0.7070 71.60 71.86 71.33 : 397 0.7034 0. '7129 0.6940 116.32 116.76 115.89 ; 39P 0.6975 0« 7069= 0.6881 136.50 137.00 136.01 ] 399 0.6890 0. 6983 0.6797 158.32 158.90 157.74 ! 400 0.6748 o. 6837 . 0.6659 176.96 177.49 176.44 j 401 0.6653 o. 6741 0.6566 195.98 196.42 195.54 ; ! 402 0.6559 o. 6644 0.6473 218.60 219.05 218.15 j 403 0.6526 o. 6612 0.6440 239.59 240.13 239.04 j 404 0.6541 o. 6626 0.6456 272.81 273.27 272.35 - 405 0.6521 o. 6606 0.6436 305.05 305.54 304.57 . 406 0.6492 o. 6576 . 0.6407 . 336.56 337. 13 335.99 j : 407 0.6464 0« 6548 0.6381 ; 362.10 362.58 361.62 i 408 0.6421 o. 6505 0.6338 395.03 395.62 3 9 4.43 .' I 4'09 0.6269 0« 6351 0.6188 423.14 423.85 422.42 i j 410 0.6258 o. ,6339 0.6177 449.97 450.62 449.32 \ 411 0.6241 0- 6322 0.6161 474.05 474.63 47 3.47 ; j 211 . 0.7133 0« 7198 0.7069 85.11 85.28 84.95 ;- ; 212 0.7143 0« 7208 0 .7078 80.66 80.82 • 8 0.49 I : 213 0.7160 o. 7225 0.7095 76.79 76.92 . 76.65 i i 214 0.7162 6". 722 8 6.7096 74.51 74.70 74.33 j I |, TABLE 3-7<C0NTINUED) 3-12 ) RUN K 95% - RED 95% l_ NO. CONFIDENCE - CONFIDENCE j ~~" "INTERVAL" INTYRVXL If 215 0.7175 ' 0 • 7241 0.7109 70.21 70.38 70.04 j 1 216 0.7161 0 • 7227 0.7095 65.84 65.99 65.69 1 217 0.7182 . 0 .7250 0.7114 58.57 58.75 58.38 j 1 . 218 0.7169 0 .7237 0.7101 5 2 . 0 4 52.21 51.87 : if" 219 0.7158 0 .7223 0.7093 4 6 . 8 4 4 6.92 46.76 : n ! 220 0.7152 0 .7220 0.7083 .• 41.84 4 1.98 41.70 i |_ 221 0.7136 0 .7205 0.7068 , 36.14 36.27 36.02 ; 222 0.7116 0 .7185 0.7048 32.70 32.81 3 2.60 i 223 0.7091 0 .7160 0.7021 28.97' 29.07 . 28.87 : 224 0.7009 0 .7081 0.6938 23.76 2 3 . 8 5 2 3 . 6 7 393 0.7082 0 .7146" 0.7018 ' •. 93.79 93.93 93.66 j 394 0.7035 o. .7100 0.6970 122.30 122.61 121.98 ; 421 . 0.7049 0 .7117 0.6982 101.05 1 0 1 . 4 1 . 100.70 j 4 2 2 0.6909 0 .6971 0.6848 146.52 .. 146.76 146.2 8 | f i. 423 0.6760 0 .6821 0 . 6 6 9 9 1 8 6 . 6 4 1 8 7 . 0 4 186.24 i ! 4 2 4 0.6678 0 .6737 ,0.6619 : 210.25 210.57 209.93 ! c~ 42 5 0.6469 o" r6"52"7" 0.6411 229.65 230.05 229.24 ; 425 0.6626 0 .6686 0.6567 235.23 2 3 5 . 6 4 234.82 ! 426 0.6558 0 . 6 6 1 6 0.6500 2 6 1 . 4 8 261.76 261.20 ! 427 . 0.6451 0< ,6509 .0.6393 324.02 324.57 3 2 3 . 4 7 | 428 0.6497 0 .6555 0.6439 296.60 297.09- . 296.11 j r 429 0.6348 o. ,6405 0.6292 3 3 7 . 6 4 3 3 8 . 1 3 337.15 | r ~430~"~ 6 •67 96" 6" ,685 6" 0.6736 359.07 359.45 358.69 i 431 0.6437 0 .6494 0.6379 390.52 391.18 389.87 j i 432 0.6381 : 0 .6438 0.6324 4 3 4 . 9 0 435.60 434.20 i 433 0.6354 o. .6411 0.6298 463.72 464.34 • 463.10 | i ; 4 3 4 0.6321 ,0 .6377 0.6265: 517.12 .517.81 516.43 ! 435 0.6290 o. ,6346 0.6234 5 7 0 . 4 9 571.24 . 569.75 j r~ "196 0.7008 ."6. ."705 7" 0.6959 109.18 109.33 ••109.03 j 1 197 ' .0.7029 0 .7078 0.6980 104.76 •. 104.89 104.62 : L 198 0.7035 0 ,7084 0.6986 98.88 ' 99.02 98.75 ! i w 0.7064 . 0 .7X14 0.7014 . . 92.63 92.78 92.48 i- 200 0.7076 • •'; o .7125 0.7026 8 6.51 , 86.64 . 8 6.37 I 201 . 0.7099 0 .7149 • 0.7049 . 80.50 80.64 • 80.37 I 202 ' 6.7120 r -Q-.7176 6."7069 71.45 71.58 71.321 I TABLE 3-7<C0NTINUED) 3-13 RUN NO. 95* CONFIDENCE """INTERVAL™ RED 95% . _CONFIDENCE_ I NTERVAL" f 2 0 3 0 . 7 9 5 4 - 0 . 8 0 1 1 0 . 7 8 9 6 6 4 . 3 7 6 4 . 5 1 . 6 4 . 2 4 : i 2 0 4 0 . 7 1 3 5 . 0 . 7 1 8 6 0 . 7 0 8 3 4 9 . 8 6 4 9 . 9 6 4 9 . 7 5 ! ! 2 0 5 0 . 7 1 4 3 0 . 7 1 9 4 0 . 7 0 9 1 6 4 . 1 5 6 4 . 2 9 6 4 . 0 1 i I 2 0 6 0 . 7 1 3 1 0 . 7 1 8 5 0 . 7 0 7 7 • 4 5 . 6 2 4 5 . 7 5 4 5 . 4 9 ! 2 0 7 0 . 7 1 3 4 0 . 7 1 9 0 0 . 7 0 7 9 4 0 . 2 6 4 0 . 3 9 4 0 . 1 4 i 2 0 8 0 . 7 0 9 9 0 . 7 1 5 7 ' 0 . 7 0 4 2 3 4 . 4 8 3 4 . 5 9 3 4 . 3 6 ' 2 0 9 0 . 7 0 0 9 0 . 7 0 7 3 0 . 6 9 4 5 2 7 . 5 6 2 7 . 6 8 2 7 . 4 4 .1 2 1 0 . - 0 . 6 9 0 0 0 . 6 9 8 7 0 . 6 8 1 2 . 1 7 . 9 0 1 7 . 9 8 1 7 . 8 3 ; 3 8 7 0 . 6 5 9 9 0 . 6 6 4 5 0 . 6 5 5 3 2 4 1 . 2 3 2 4 1 . 5 4 2 4 0 . 9 3 , 3 8 8 0 . 6 6 2 4 0 . 6 6 7 0 0 . 6 5 7 7 2 1 8 . 3 5 2 1 8 . 6 6 2 1 8 . 0 5 : i 3 8 9 0 . 6 7 0 5 0 . 6 7 5 3 0 . 6 6 5 8 1 9 4 . 3 5 1 9 4 . 7 0 1 9 4 . 0 1 ! | 3 9 0 0 . 6 7 6 0 0 . 6 8 0 7 0 . 6 7 1 2 1 7 4 . 1 2 1 7 4 . 3 6 , 1 7 3 . 8 8 1 : 3 9 1 0 . 6 8 3 5 . 0 . 6 8 8 4 0 . 6 7 8 6 1 5 0 . 3 4 1 5 0 . 6 5 1 5 0 . 0 4 j t 3 9 2 • 0 . 7 0 0 0 0 . 7 0 5 2 0 . 6 9 4 9 1 0 0 . 2 4 1 0 0 . 4 5 1 0 0 . 0 4 I 4 1 2 0 . 6 9 0 2 0 . 6 9 5 1 0 . 6 8 5 2 1 3 7 . 9 0 1 3 8 . 1 9 1 3 7 . 6 2 i . 4 1 3 0 . 6 7 4 7 0 . 6 7 9 4 0 . 6 7 0 0 1 8 5 . 5 5 1 8 5 . 8 7 1 8 5 . 2 3 ! 4 1 4 0 . 6 6 2 9 0 . 6 6 7 5 0 . 6 5 8 4 2 2 5 . 8 5 ' 2 2 6 . 1 9 2 2 5 . 5 1 i ! 4 1 5 0 . 6 4 3 3 0 . 6 4 7 7 0 . 6 3 8 9 2 6 3 . 7 2 2 6 4 . 0 4 2 6 3 . 4 1 j J 4 1 5 0 . 6 5 4 2 0 . 6 5 8 6 0 . 6 4 9 7 2 6 8 . 1 8 2 6 8 . 5 0 2 6 7 . 8 6 j 1 4 1 6 0 . 6 4 7 2 , 0 . 6 5 1 6 0 . 6 4 2 7 3 0 2 . 4 5 3 0 2 . 8 2 . 3 0 2 . 0 8 J • 4 1 7 0 . 6 4 2 9 0 . 6 4 7 3 0 . 6 3 8 5 3 3 3 . 3 0 3 3 3 . 6 7 3 3 2 . 9 3 | I 4 1 8 0 . 6 3 8 1 0 . 6 4 2 5 . 0 . 6 3 3 8 3 6 9 . 2 7 3 6 9 . 6 6 3 6 8 . 8 7 j r 4 1 9 0 . 6 3 6 0 6 . 6 4 0 3 0 . 6 3 1 6 4 0 1 . 6 4 4 0 2 . 1 2 4 0 1 . 1 7 f 4 2 0 0 . 6 3 3 1 0 . 6 3 7 4 0 . 6 2 8 8 4 2 7 . 4 1 4 2 7 . 8 9 4 2 6 . 9 3 I I TA8LE 3-8 3-lU 95% CONFIDENCE INTERVAL FOR K AND RED RUN K 95 -% RED 95* \ NO. CONFIDENCE CONFIDENCE \ INTERVAL INTERVAL [ > ! O R I F I C E TYPE G .S. ' BETA= 0.4 i r 278 0.7139 6T7188" 0.7091 203.62 203.88 203.35 , .279 0.7167 0.7215 0.7119 186.42 186.58 186.25 1 280 0.7180 0.7229 0.7132 172.33 172.56 1 7 2 . 1 0 ! 281 0.7190 0.7238 0.7141 158.10 158.27 157.93 282 0.7208 0.7257 0.7158 139.34 139.54 139.14 [ 283 0.7228 0.7277 0.7179 116.23 116.35 116.12 r 284 0.7229 0.7279 0.7178 100.66 100.84 100.48 i i 285 0.7213 0.7265 0.7162 85.06 85.23 84.89 i I 286 0.7185 0.7239 0.7132 73.41 73.61 7 3 . 2 2 | i— : 287 0.7000 0.7055 0.6945 54.29 54.39 54.19; j 288 0.7197 0.7256 0.7137 50.74 50.86 50.61> i 289 0.6943 0.7007 0.6880 41.82 41.91 4 1 . 7 3 ! 290 0.6786 0.6904 0.6667 25.05 25.12 24.97, 335 0.6994 0.7042 0.6946 331.74 332.22 3 3 1 . 2 5 | | 336 0.7016 0.7064 0.6968 317.44 317.92 316.96! j 337 0.7043 0.7090 0.6995 285.37 285.67 2 8 5.07| i 338 0.7070 0.7118 0.7021 260.99 261.34 260.64; 339 0.7101 0.7150 0.7051 230.09 230.54 229.63 i 340 0.7136 0.7185 0.7086 200.43 200.81 200.06; 341 0.7176 0.7226 0.7125 179.89 180.27 179.52 i 342 0.7197 0.7248 0.7145 148.41 148.73 148.081 343 0.7142 0.7194 0.7089 118.62 • 118.90 118.35: 452 0.9785 0.9853 0.9716 403.45 404,27 4 0 2 . 6 3 1 453 0.6877 0.6924 0.6830 374.82 375.55 374.09 i 454 0.6830 "0V6876 0.6784 466.74 467.58 46 5.891 • 455 0.6918 • 0.6964 0.6872 371.20 371.72 370.67J 1 it 456 0.6763 0.6808 0.6718 550.00 550.82 549.18 I 457 0.6729 0.6774 0.6684 605.94 606.80 605.09' 458 0.6647 0.6692 0.6603 759.65 760.78 758.53J- 459 0.6607 0.6651 0.6563 . 867.73 868.80 866.66 460 0.6620 "'"0.666'5" 0.6576 . 985". 50 986.73 984.26 TABLE 3-8<CONTINUED> 3-15* | • i RUN K 95 # RED 95$ NO, CONFIDENCE CONFIDENCE INTERVAL " " INTERVAL " 461 0,7476 0 .7527 0.7425 1276.92 1278,69 1275.14 ! 462 0.6784 0 .6829 0.6739 1290.18 1291.58 1288.77 | 463 0,6505 0 .6549 0.6462 1397.93 1399,59 1396.27 j 496 0.7104 0 .7156 0.7052 210.85 211.42 210.29 i 496 0.7036 0 .'708 8'" 0.6983 210.85 211,42 210.29 497 0.6889 0 .6937 0.6841 418.54 419.34 417.73 497 0.6865 0 .6912 0.6818 418.54 419.34 417.73 ! 498 0.6751 0 .6796 0.6706 581.53 582.38 580.68 ' 498 0.6831 0 ,6883 0.6779 581.53 582.38 - 580.68 : 499 0.6693 0 .6737 0.6648 • 665.31 "\ 666.0 2 664.59 1 500 0.6719 0 ,"6767 0.6672 665.31 666.02 664.59 j 500 0.6619 0 .6663 0.6574 855.50 856.86 854.14 j 500 0.6667 0 .6713 0.6621 855.50 856.86 854.14 : 501 0.6634 0 .6679 0.6590 863.51 864.58 862.45 i 502 0.6640 0 • 6684 0.6596 954.64 955.68 953.60 j 503 0.6553 0 .6597 0.6509 1062.88 1064.27 1061.49 ! 504 0.6498 0 .6542 0.6455 1164.00 ' 1165.27 1162.73 j 291 0.5983 0 .6007 0.5959 336.02 336.37 335.66 , 292 0.6977 0 ,7005 0.6949 368.70 369,05 368.35 ! 293 0.6997 0 .7025 0.6969 331.71 332.03 331.38 j 294 1 0.7056 0« ,7084 0.7028 281.87 282.11 .' 281.64 j 295 0.7088 0 ,7116 0.7060 252.29 252.51 252.07 j 296 0.7142 0 .7170 0.7113 225.03 225.24 224.82 t 297 0.7155 0 .7184 0.7126 203.61 203.80 203.42 j 298 0.7192 o. ,7222 0.7162 180.14 180.35 179.92 ' 299 0.7220 0 • 7253 0.7186 148.91 149.15 148.67 i 300 0.7237 0 ,7273 0.7201 120.58 120.72 . 120.45 ; 301 0.7253 0 .7298 0.7208; 95.76 95.86 9 5.66 j 302 0.7456 0 .7534 0.7378 70.16 70.23 . 70.09 j 327 0.7265 0 .7330 0.7201 . 78.70 78.88 78.52 j 327 0.7237 0 .7374 0.7100 78.69 78.88 78.51 i 328 0.7196 0 • 7232 0.7159 191.95 192.20 191.70 . 328 0.7088 ' 0 .7136 0.7040 191.95 192.20 191.70 329 0.7215 0 ,7264 0.7166 143.53 143.74 143.33 j 330 0.7146 0« .7177. 0.7115 238.98 239.19 238.77 j TABLE 3 - 8(CONTINUED) RUN K 95% RED 95% NO_ _____ CONFIDENCE^ CONFIDENCE INTERVAL INTERVAL ! 3 2 9 0 o 7 1 0 8 0 . 7 1 5 7 0 . 7 0 5 8 1 4 3 . 5 3 1 4 3 . 7 4 1 4 3 . 3 3 3 3 0 0 o 7 0 4 7 0 . 7 0 9 4 0 . 7 0 0 0 2 3 8 . 9 8 2 3 9 . 1 9 2 3 8 . 7 7 3 3 1 0 . 7 0 9 6 0 . 7 1 2 6 0 . 7 0 6 6 2 8 6 . 1 7 2 8 6 . 5 1 2 8 5 . 8 4 3 3 1 0 . 6 9 9 6 0 . 7 0 4 3 0 . 6 9 4 9 2 8 6 . 1 7 2 8 6 . 5 1 2 8 5 . 8 4 I " 3 3 2 " . " 0 . 7 0 4 2 0 . 7 0 7 1 0 . 7 0 1 4 3 1 8 . 6 7 3 1 8 , 9 7 3 1 8 . 3 6 i 3 3 2 0 . 6 9 5 6 0 . 7 0 0 2 0 . 6 9 0 9 ' 3 1 8 . 6 7 3 1 8 . 9 7 3 1 8 . 3 6 1 3 3 4 0 . 6 9 4 7 0 . 6 9 7 5 0 . 6 9 1 9 4 0 4 . 5 1 4 0 4 , 9 3 4 0 4 . 0 9 f 3 3 4 0 . 6 8 5 0 0 . 6 8 9 6 0 . 6 8 0 3 4 0 4 . 5 1 4 0 4 . 9 3 4 0 4 . 0 9 3 4 4 0 . 9 3 1 4 0 . 9 3 7 9 0 . 9 2 4 9 1 7 9 . 0 7 1 7 9 . 3 3 1 7 8 . 8 1 1 3 4 4 0 . 9 1 7 4 0 . 9 2 3 8 . 0 . 9 1 1 0 1 7 9 . 0 7 . 1 7 9 . 3 3 1 7 8 . 8 1 3 4 5 0 . 9 2 1 5 0 . 9 2 6 0 0 . 9 1 7 0 2 4 9 . 1 3 2 4 9 . 4 2 2 4 8 , 8 4 3 4 5 0 . 9 1 6 8 0 . 9 2 3 0 0 . 9 1 0 5 2 4 9 . 1 3 2 4 9 . 4 2 2 4 8 . 8 4 , \ 3 4 6 0 . 7 8 4 5 0 . 7 8 7 9 0 . 7 8 1 2 3 1 8 . 9 7 3 1 9 . 4 1 3 1 8 , 5 4 ; 1 34~6 0 . 7 4 6 9 0 . 7 5 2 0 . 0 . 7 4 1 8 3 1 8 . 9 7 3 1 9 . 4 1 3 1 8 . 5 4 i 4 4 7 0 . 9 2 7 7 0 . 9 3 1 5 0 . 9 2 3 8 6 7 5 . 6 2 6 7 6 . 3 0 6 7 4 . 9 4 • i 4 4 6 0 . 9 4 9 8 0 . 9 5 4 9 0 . 9 4 4 6 4 6 8 . 9 5 4 6 9 . 4 7 4 6 8 . 4 4 | " " " "448 0 . 9 1 9 6 0 . 9 2 3 3 0 . 9 1 6 0 8 1 3 . 8 2 ' 8 1 4 . 6 0 8 1 3 . 0 4 • 0 . 9 1 4 5 0 . 9 1 8 0 0 . 9 1 0 9 8 8 9 . 7 6 8 9 0 . 5 7 8 8 8 . 9 5 i I 4 5 0 0 . 9 1 2 2 0 . 9 1 5 7 0 . 9 0 8 7 1 0 3 6 . 1 9 1 0 3 7 . 0 9 1 0 3 5 . 2 9 i 1 4 5 1 0 . 9 0 9 3 0 . 9 1 2 8 0 . 9 0 5 8 1 1 4 2 . 3 5 1 1 4 3 . 3 1 1 1 4 1 . 4 0 ; J 4 8 8 0 . 6 9 7 5 0 . 7 0 1 1 0 . 6 9 4 0 2 6 3 . 6 1 . 2 6 3 . 9 7 2 6 3 . 2 4 | I 2 8 8 0 . 6 8 7 4 0 . 6 9 2 1 0 . 6 8 2 7 2 6 3 . 6 1 2 6 3 . 9 7 2 6 3 . 2 4 ! 1 2 8 9 0 . 7 0 4 1 0 . 7 0 7 6 * " 0 7 7 0 0 5 2 7 1 . 7 2 2 7 2 . 0 8 2 7 1 . 3 6 j ) 2 8 9 0 . 6 9 3 1 0 . 6 9 7 6 s 0 . 6 8 8 5 2 7 1 . 7 2 2 7 2 . 0 8 2 7 1 . 3 6 j j 4 9 0 0 . 6 9 6 2 0 . 6 9 9 1 s 0 . 6 9 3 2 3 7 6 . 2 2 3 7 6 . 6 0 3 7 5 . 8 4 , ; 4 9 0 0 . 6 8 9 7 0 . 6 9 2 9 0 . 6 8 6 5 3 7 6 . 2 2 3 7 6 . 6 0 3 7 5 . 8 4 ! : 4 9 i 0 . 6 7 7 2 0 . 6 7 9 9 0 . 6 7 4 5 1 5 8 1 . 0 4 5 8 1 . 6 3 5 8 0 . 4 4 1 : 4 9 1 0 . 6 7 4 1 0 . 6 7 6 7 0 . 6 7 1 4 5 8 1 . 0 4 5 8 1 . 6 3 5 8 0 . 4 4 .: f 4 9 2 0 . 6 7 2 0 0 . 6 7 4 7 " " 0 . 6 6 9 3 6 6 7 . 0 1 6 6 7 . 7 0 6 6 6 . 3 2 , f 4 9 2 • 0 . 6 6 8 4 0 . 6 7 0 9 0 . 6 6 5 8 6 6 7 . 0 1 6 6 7 . 7 0 6 6 6 . 3 2 i I 4 9 3 0 . 6 6 5 8 0 . 6 6 8 3 0 . 6 6 3 2 7 9 5 . 3 9 7 9 6 . 1 9 7 9 4 . 5 9 j | 4 9 3 0 . 6 7 3 8 0 . 6 7 9 3 0 . 6 6 8 2 7 9 5 . 3 9 7 9 6 . 1 9 7 9 4 . 5 9 i I. 4 9 4 0 . 6 6 0 1 0 . 6 6 2 6 0 . 6 5 7 6 9 1 5 . 2 1 9 1 6 . 0 3 9 1 4 . 3 9 i- 4 9 4 0 . 6 5 7 9 0 . 6 6 2 1 0 . 6 5 3 6 9 1 5 . 2 1 9 1 6 . 0 3 9 1 4 . 3 9 " 4 9 5 0 . 6 5 8 3 "6"."6~66"8" 0 " . 6 5 5 8 \ 1 6 2 9 . 2 1 loso.ii . f 6 2 8 . 30" TABLE 3-8(C0NTINUED) 3-17 RUN NO, 95% jCONFIDENCE "INTERVAL " RED 95% CONFJDENCE_ INTERVAL 495 ~3~0T i 304 __305 I 306" I 307 i 308 309" 310 J 312 I 313 \ 314 0.6622 0 . 7 0 3 2 " 0 . 7 0 5 4 0 . 7 0 7 0 "o77108" 0 . 7 1 4 7 _ 0 o 7 l 8 4 0 . 7 1 9 0 " 0 . 7 2 1 9 0.7243 0 "bV7238"' 0 0.7227 0 0.7151 0 .7226 . 0.7155. 159.70 159.89 159.51 : .7256 0.7182 130.89 131.04 130.74 .7282 0.7204 111.85 112.02 111.67 ; .7278 0.7197 99.09 99.20 9 8.98 1 .7276 0.7179 77.55 77.68 77.42 i .7232 0.7071 51.05 51.10 5 0.99 | 6659 0.6584 1029.21 1030.11 1028.30 7066 7088 7105_ 7142 7181 7219 0.6998 0.7020 0.7036 "0770 7 4* 0.7112 0.7150 300.94 283.29 260.44_ "236". 74 206.74 179.56 301.22 283.53 260.66_ "23 6. 94 206.93 179.71 300.66 283.04 _260.21 236."55~ 206.56 179.42 0.6901 0.6937 0.6979 Oo "7618" 0.7062 0.7123 6934 6971 7013 "7052" 7097 7159 0.6867 0.6904 0.6945 "b".6"98 5~ 0.702 7 0.7087 442.42 398.75 361.42 "319790*" 263.33 238.30 4 4 2 . 7 9 3 9 9 . 1 0 ' 3 6 1 . 8 4 . " 3 2 0 " o ' l 9 2 6 3 . 6 4 2 3 8 . 6 3 0.7173 0 0.7198 0 0.7244 0 0.7205 0.6884 0.6928 7209 7238 7291 7323" 6918 6962 0.7137 0.7159 _0 .7197 oT7o"86~ 0 .6851 0.6894 2 0 9 . 4 9 1 6 6 . 0 5 _ 1 2 8 o _ 9 0 6~67 55" 4 4 2 . 6 3 4 1 1 . 3 4 209.69 166.29 J.29. 10 66".74" 443.13 411.87 0.7040 0 0.7104 0 0.7152 0 0".'7176 0 0.7258 0 0.7444 Q 0.6944 6 0.7284 0 0.7226 0 0".To'87~ 0 7092 7156 7204 722 9" 7312 751 2 '7007 7416 7270 Yl~4b" 0.6989 0.7051 0.7100 "077 12 3" 0.7204 _?j_7 37__ 0.6881 0.7152 0.7181 "67"70"34" 263.33 238.30 209.45 T6"6"."0"5" 128.90 __66__55 63.87" 63.87 140.19 "1*40". 1~9" 263.64 238.63 2 09_>66_ "166.29 129.lo 66.74 64.08 64.08 140.46 "14*6746"" 442 398 3_61 "3 19 263 237 .06 .41 • 01_ "."61 .02 .96 209 165 12 8 6~6 442 410 .29 • 81 •I? .37" .14 .82 263 237 _20 9 16"5" 128 66 .02 ; .96 i .25_J 78 "i j .70 | .37 ; 63 63 13 9 1"'3"9" .67 .67 .93 793" T A B L E 3 - 8 ( C 0 N T I N U E D ) 3-18 RUN NO , 95% CONFIDENCE^ " I N T E R V A L RED 95% CONFIDENCE INTERVAL 349 349 3 5 0 350 ~3 5 1 " 352 _353_ 354 355 _3 56 357" 358 j437_ 4 38 4 3 9 _440_ 4 4 1 4 4 2 4 4 3 4 4 4 4 4 5 479 f 4 7 9 " 4 8 0 _ 4 8 0 "48"1" 4 8 1 _ 4 8 2 "483" 4 8 3 48 4_ 3 4 8 4 4 8 5 4 8 5 ~ 4 8 6 " 0 , 0 , 0 , "6 m o . o . 7 1 5 7 70 5 8" 7 1 0 0 7 0 2 1 7 0 4 7 " 7 0 0 4 6 9 5 6 0 . 0 , 0 . ~07 Oo Oo "o . 0 . Oo "o . 0 . 0 . 0 . o . 0 . Oo 0 . Oo o . Oo 0 . "Oo 0 . 0 . Oo 0 . 0 . ~o. 6 9 6 0 6 9 3 4 6 9 1 3 6 8 9 6 " 6 8 9 8 9666_ 9 536 9 4 6 7 9 4 0 6 93 74" 9 3 4 0 9362_ 9 3 5 3 7 8 7 8 7 1 4 3 7 0 5 3 " 6 9 5 7 6920_ 6 8 6 8 6 8 5 0 6 7 6 8 6 6 8 5 " 6 8 1 0 6649_ 6 7 1 9 6 5 9 4 6 6 1 2 6 5 7 3 " _?_• 7 1 9 5 0 o 7 1 1 9 O o 7 0 0 6 0 . 7 0 6 4 0 . 6 9 7 0 "0~."7'oT2" 0 . 6 9 6 9 0 . 6 9 2 1 1 9 4 . 7 9 1 9 5 . 0 7 0 o 7 1 1 0 0 . 7 1 3 6 0 . 7 0 7 2 "6 .708 2" 0 . 7 0 3 8 0 . 6 9 9 0 0 . 6 9 9 4 0 . 6 9 6 8 _ 0 . 6 9 4 7 _ 0 . 6 9 2 9 0 . 6 9 3 2 0 . 9 7 2 0 0 . 9 5 8 3 0 . 9 5 1 2 0 . 9 4 5 0 _ "o"o"94~19 0 . 9 3 8 4 Q o 9 4 0 6 0 . 9 3 9 8 0 . 7 9 1 6 0 . 7 1 8 1 _ "o77695 0 . 6 9 9 1 0 . 6 9 5 4 0 . 6 9 0 2 0 . 6 8 8 2 0 . 6 8 0 0 " 0 . 6 7 1 6 " ' 0 . 6 8 5 7 0 . 6 7 6 0 0 . 6 6 2 5 0 . 6 6 4 8 "0."6604~ 0 . 6 9 2 6 0 . 6 9 0 0 0 . 6 8 7 9 _ ~0"o6862 0 . 6 8 6 4 0 o 9 6 1 2 0 . 9 4 8 9 0 . 9 4 2 2 0_«93_61 " 0 . 9 33"0~ 0 . 9 2 9 6 0 . 9 3 1 7 0 . 9 3 0 7 0 . 7 8 4 0 0_. 710 4_ "0 ."7611 0 . 6 9 2 3 0 . 6 8 8 7 0 . 6 8 3 4 0 . 6 8 1 7 0 o 6 7 3 6 _ 0"."6653 0 o 6 7 6 4 0 . 6 6 1 7 0 . 6 6 7 8 0 . 6 5 6 3 0 . 6 5 7 7 "6".'6"541" 1 9 4 . 7 9 2 3 9 . 8 9 2 3 9 . 8 9 " 2 8 1 . 7 7 " 3 2 7 . 8 4 J_54__40_ 3 7 5 . 8 9 3 9 4 . 7 8 4 1 1 . 2 0 "4 32 7 3 9 " 4 4 1 . 6 5 4 0 2 . 2 9 5 8 0 . 4 9 6 8 5 . 9 7 8 3 2 . 9 5 "94 5"773~ 1 1 0 0 . 9 1 1 0 3 2 . 2 1 1 9 5 . 0 7 2 4 0 . 1 8 2 4 0 . 1 8 "28 2".T"2~ 3 2 8 . 2 3 3 5 4 . 8 9 3 " 7 6 . 3 1 3 9 5 . 2 1 4 1 1 . 6 8 _ "432". '84 4 4 2 . 15 4 0 2 . 8 7 5 8 1 . 2 4 6 8 6 . 6 7 J 3 3 . J B 0 9 4 6 . 7 1 " 1 1 0 2 . 0 0 1 0 3 3 . 2 7 1 1 9 4 . 1 1 1 1 4 2 . 7 5 _ 2 4 5 . 7 9 2 4 57"79"" 3 8 2 . 6 8 3 8 2 . 6 8 1 1 9 5 . 5 8 1 1 4 4 . 0 8 __246.21_ 2 4 6 721 3 8 3 . 1 4 3 8 3 . 1 4 4 9 6 . 4 8 4 9 6 . 4 8 5 8 1 1 . 0 4 "702 .98"" 7 0 2 . 9 8 7 9 6 . 8 0 4 9 7 . 0 9 4 9 7 . 0 9 5 8 1 J L 7 3 _ "7 03 . 78 7 0 3 . 7 8 7 9 7 . 8 4 7 9 6 . 8 0 9 4 6 . 5 9 946_. 59 TO 7 5 710" 7 9 7 . 8 4 9 4 7 . 6 2 9 4 7 . 6 2 TO 7 6 . 27" 1 9 4 . 5 1 l 9 " 4 . 2 3 9 . 23 9_. " 2 8 1 . " 3 2 7 . 3 5 3 . 51 59 59_ 43 44 91 3 7 5 . 3 9 4 . 4 1 0 . "43 l " . 4 4 1 . 4 0 1 . 46 36 72_ 9 5 16 70 5 7 9 . 6 8 5 . 8 3 2 . ""9V4." 1 0 9 9 . 1 0 3 1 . 73 27 10 75" 82 16 1 1 9 2 . 1 1 4 1 . _ _ 2 4 5 . 2 4 5 « 3 8 2 . 3 8 2 . 6 4 42 36 36" 22 22 4 9 5 . 4 9 5 o _5 8 0 . 70 27 7 0 2 . 7 9 5 . 87 87 3_5 19" 19 75 7 9 5 . 9 4 5 . 9 4 5 o T0 '7 3~." 75 : 56 56 I "9'2~j f Ii TABLE 3-8(CONTINUED> 3-19 RUN NO. 95$ • CONFIDENCE INTERVAL RED 95$ _CONF I DENCE__ •INTERVAL" 486 ~4~87~ 487 0j_6611 "0T6530 0.6586 0_6645 "0T656T 0.6619 0.6576 0.6499 0.6553 1075.10 1164.74 1164.74 1076.27 1073.92 1165.91 1165.91 1163.57 1163.57 T A B L E 3 - 9 1-1. i! 1 i I 9 5 % C O N F I D E N C E I N T E R V A L F O R K A N D R E D 1 i i r R U N K 9 5 % R E D 9 5 % ; i N O . C O N F I D E N C E C O N F I D E N C E 1 I N T E R V A L I N T E R V A L i O R I F I C E T Y P E G . S . B E T A = 0 . 6 ; t 2 3 5 0 o 8 1 2 6 • 0 . 8 1 6 5 0 . 8 0 8 8 4 7 6 . 8 5 4 7 7 . 2 9 4 7 6 . 4 1 ; i 2 3 6 0 . 8 1 7 5 0 . 8 2 1 4 0 . 8 1 3 6 4 5 3 . 1 1 4 5 3 . 5 5 4 5 2 . 6 7 i \ 2 3 7 0 . 8 1 5 7 0 . 8 1 9 6 • 0 . 8 1 1 8 4 1 6 . 4 3 4 1 6 . 8 4 4 1 6 . 0 1 1 2 3 8 0 . 8 0 8 5 0 . 8 1 2 4 0 . 8 0 4 7 3 6 3 . 9 3 3 6 4 . 2 2 3 6 3 . 6 3 2 3 9 0 . 8 0 5 2 0 . 8 0 9 0 0 . 8 0 1 3 3 1 2 . 2 3 3 1 2 . 4 9 3 1 1 . 9 7 ; s 2 4 0 0 . 8 1 3 9 0 . 8 1 7 8 0 . 8 0 9 9 2 8 7 . 5 7 2 8 7 . 8 8 2 8 7 . 2 6 i r 2 4 1 0 . 8 1 6 1 0 . 8 2 0 2 0 . 8 1 2 1 2 4 6 . 1 6 2 4 6 . 4 5 2 4 5 . 8 7 . ,i i 2 4 2 0 . 8 1 6 9 0 . 8 2 1 1 0 . 8 1 2 8 2 1 9 . 5 6 2 1 9 . 8 3 2 1 9 . 2 9 i ,* 2 4 3 0 . 8 1 5 6 . 0 . 8 2 0 0 0 . 8 1 1 3 1 9 3 . 1 0 1 9 3 . 3 8 1 9 2 . 8 3 j >* 2 4 4 0 . 8 1 8 6 0 . 8 2 3 3 0 . 8 1 3 9 1 5 6 . 7 3 1 5 6 . 9 3 1 5 6 . 5 2 i 2 4 5 0 . 8 1 0 3 0 . 8 1 5 8 0 . 8 0 4 8 1 2 6 . 3 2 1 2 6 . 5 3 1 2 6 . 1 1 1 l 2 4 6 0 . 7 9 1 4 0 . 7 9 9 6 0 . 7 8 3 2 8 9 . 5 7 8 9 . 7 8 8 9 . 3 7 2 4 7 0 . 8 1 5 0 0 . 8 1 9 0 0 . 8 1 0 9 2 7 4 . 8 6 ' 2 7 5 . 2 2 2 7 4 . 4 9 2 4 8 0 . 8 1 6 8 0 . 8 2 0 8 0 . 8 1 2 8 3 1 4 . 8 9 3 1 5 . 2 5 3 1 4 . 5 4 i 3 7 7 0 . 7 8 1 0 0 . 7 8 8 5 0 . 7 7 3 6 1 4 2 . 6 4 1 4 2 . 9 0 1 4 2 . 3 8 ! i 3 7 8 0 . 7 9 9 2 0 . 8 0 3 7 0 . 7 9 4 6 2 4 6 . 3 9 2 4 6 . 8 1 2 4 5 . 9 6 ; j 3 7 9 0 . 8 1 5 9 0 . 8 2 0 1 0 . 8 1 1 7 3 0 8 . 1 5 3 0 8 . 5 6 3 0 7 . 7 4 ' r 3 8 0 0 . 8 0 9 8 0 . 8 1 3 8 0 . 8 0 5 8 3 8 6 . 1 7 3 8 6 . 6 3 3 8 5 . 7 1 I 3 8 1 0 . 8 1 2 8 0 . 8 i 6 7 0 . 8 0 8 8 4 3 7 . 4 9 4 3 7 . 9 2 4 3 7 . 0 5 • * 3 8 2 0 . 8 0 7 2 0 . 8 1 1 1 0 . 8 0 3 3 4 9 8 . 5 2 4 9 9 . 1 0 4 9 7 . 9 4 : 3 8 3 0 . 8 0 5 3 0 . 8 0 9 2 0 . 8 0 1 4 5 4 0 . 5 8 5 4 1 . 2 0 5 3 9 . 9 6 ; !— 6 0 2 0 . 8 0 7 8 0 . 8 1 2 5 0 . 8 0 3 1 3 1 2 . 0 2 3 1 2 . 4 5 3 1 1 . 6 0 ; . 6 0 3 0 . 8 1 1 7 0 . 8 1 5 7 0 . 8 0 7 6 6 3 3 . 5 4 6 3 4 . 5 3 6 3 2 . 5 5 j 6 0 4 0 . 7 9 4 0 0 . 7 9 7 9 0 . 7 9 0 1 8 8 1 . 1 6 8 8 2 . 3 3 8 7 9 . 9 8 ; 6 0 5 0 . 7 8 0 9 0 . 7 8 4 5 0 . 7 7 7 2 1 1 2 0 . 0 7 1 1 2 1 . 2 9 1 1 1 8 . 8 5 | 6 0 6 . ' 0 . 7 7 3 2 0 . 7 7 6 8 0 . 7 6 9 7 1 3 2 7 . 2 2 1 3 2 8 . 4 3 1 3 2 6 . 0 2 ;' . 6 0 7 0 . 7 6 7 9 0 . 7 7 1 5 0 . 7 6 4 2 1 4 5 4 . 8 1 1 4 5 6 . 3 9 1 4 5 3 . 2 2 ! 6 0 8 0 . 7 5 8 8 • 0 . 7 6 2 4 0 . 7 5 5 2 1 7 1 4 . 0 3 1 7 1 5 . 6 8 1 7 1 2 . 3 8 , 6 0 9 0 . 7 5 4 7 0 . 7 5 8 3 0 . 7 5 1 1 1 7 9 9 . 7 2 1 8 0 1 . 5 0 1 7 9 7 . 9 4 L 6 1 0 0 . 7 8 1 8 0 . 7 8 5 4 0 . 7 7 8 1 1 1 0 6 . 5 0 1 1 0 7 . 7 0 1 1 0 5 . 2 9 i •'"611 0 . 7 7 0 4 ' " " 0 . 7 7 4 0 " 0 . 7 6 6 8 1 3 4 5 . 3 8 1 3 4 6 . 8 5 —~1343 . ' 9 2 1 I: TABLE 3-9 (CONTINUED) [ RUN K 95$ ' RED 95$ ? NO. ĈONFIDENCE __ CONFIDENCE \ """""''""" ~ ""INTERVAL"' "INTERVAL It • 612 0.8110 0.8154 0.8065 429.73 430.70 428.76 r 613 0.7977 0.8020 0.7934 780.21 . 782.03 778.38 ; 1 614 0.7992 0.8032 '. 0.7952 754.60 755.83 753.37 i 657 0.6983 0.7034 0.6932 87.96 88.12 87.81 \ 658 0.8131 " 6 7 8 1 8 8 0.8073 194.53 194.74 194.31 : \ 658 0.8129 0.8170 0.8089 194.53 194.74 194.31 l \ 659 0.8042 0.8099 0.7986 133.75 1 33.89 133.62 •! f j 659 0.8047 0.8092 0.8002 133.75 133.89 13 3.62 ; 660 0.8024 0.8081 0.7967 116.00 116.16 115.85 ' ! 660 0.7968 0.8018 0.7918 116.00 116.16 115.85 : t— i 661 6.8174 0.8214 0.8134 243.73 244.01 243.45 1 661 0.8175 0.8215 0.8134 243.73 244.01 243.45 : 1 662 0.8142 0.8182 0.8102 284.45 284.81 284.10 ; i 662 0.8157 0.8196 0.8118 284.45 284.81 284.10 t 663 0.8144 0.8184 0.8104 348.38 . 348.79 347.98 \ 663 0.8111 0.8149 0.8073 348.38 348.79 347.98 \ l 664 0.8090 0.8128 0.8053 455.62 456.13 455.12 ! 664 0.8106 0.8167 0.8045 455.62 456.13 455.12 i 665 0.8081 0.8119. 0.8044 453.90 454.37 45 3.42 : 665 0.8086 0.8146 0.8026 453.90 454.37 453.42 j 666 0.8049 0. 8087 0.8011 532.35 532.96 531.74 ; f 666 0.8021 0.8071 0.7971 532.35 532.96 531.74 ! i 667 0.8028 0.8065 0.7991 574.61 5 7 5.7i6 574.05 | } 667 0.7930 0.7976 0.7885 • 574.61 575.16 574.05 ; i L 668 0.7940 0.7977 0.7902 608.10 608.76 607.43 | 668 0.7951 0.7995 0.7906 608.10 608.76 • 607.43 | 669 0.8258 0.8323' 0.8193 86.56 86.82 86.30 ; 669 0.7954 0.8023 0.7884' 86.56 86.82 86.30 ! _____ 670 0.8188 0.8248 0.8129 113.64 113.84 l l T . 4 5 ! 670 0.8078 0.8129 0.8027 113.64 113.84 113.45 | i t 263 0.8101' 0.8132 0.8071 . 585.54 586.07 585.02 ;' j 264 0.8120 0.8151 0.8089 550.82 551.35 5 5 0.29 f i * 265 0.8135 0.8166 0.8105 519.25 519.70 518.80 266 0.8139 0.8170 0.8109 475.03 475.44 474.61 i 267 0.8192 0.8222 0.8161 . 436.00 436.39 435.61 j TABLE 3 - 9 (CONTINUED) • 3 - 2 2 ; RUN K 95%" RED 95% j (__NO. ___CONFIDENCE___ CONFIDENCE j \ ' " " " " INTERVAL" '"TNYERVAL j f 2 6 8 0 o 8 1 9 3 0 . 8 2 2 4 0 . 8 1 6 2 3 9 1 . 7 1 3 9 2 . 0 4 3 9 1 . 3 8 I— ! >\ 2 6 9 0 o 8 2 2 6 0 . 8 2 5 8 0 . 8 1 9 5 3 6 9 . 1 9 3 6 9 . 5 2 3 6 8 . 8 6 . 'l 2 7 0 0 o 8 2 5 5 0 . 8 2 8 7 0 . 8 2 2 3 3 4 1 . 2 5 3 4 1 . 5 8 3 4 0 . 9 2 : if 2 7 1 0 o 8 2 6 5 0 . 8 3 0 0 0 . 8 2 3 1 3 0 9 . 2 5 3 0 9 . 6 6 3 0 8 . 8 5 i 2 7 2 0 . 8 2 7 4 0 . 8 3 0 9 0 . 8 2 3 9 2 7 8 . 6 1 2 7 8 . 8 9 2 7 8 . 3 3 ; 1 2 7 3 0 . 8 2 7 6 0 . 8 3 1 5 0 . 8 2 3 8 2 3 8 . 9 8 2 3 9 . 2 2 2 3 8 . 7 4 2 7 4 0 . 8 2 7 1 0 . 8 3 1 3 0 . 8 2 3 0 2 1 7 . 2 7 2 1 7 . 4 6 2 1 7 . 0 8 | 2 7 5 0 . 8 1 6 2 0 . 8 2 1 0 0 . 8 1 1 3 1 8 5 . 5 5 1 8 5 . 7 1 1 8 5 . 3 9 2 7 6 0 . 8 2 5 5 0 . 8 3 1 8 0 . 8 1 9 2 1 5 7 . 2 6 1 5 7 . 4 4 • 1 5 7 . 0 9 , 3 7 1 0 . 7 9 9 4 0 . 8 1 2 0 0 . 7 8 6 7 1 5 8 . 4 4 1 5 8 . 6 7 • 1 5 8 . 2 2 i f •"372 0 * . ' 80 5 2 0 . 8 1 1 7 0 . 7 9 8 7 2 3 5 . 3 4 2 3 5 . 6 4 2 3 5 . 0 3 ! 3 7 3 0 . 8 1 7 9 0 . 8 2 2 4 0 . 8 1 3 4 3 1 7 . 1 9 3 1 7 . 5 6 3 1 6 . 8 2 J 3 7 4 0 . 8 1 7 5 0 . 8 2 1 1 0 . 8 1 3 9 4 1 5 . 4 1 4 1 5 . 8 3 4 1 4 . 9 9 ; t 3 7 5 0 . 8 1 4 6 0 . 8 1 8 0 0 . 8 1 1 2 4 7 2 . 2 3 - 4 7 2 . 7 6 ' 4 7 1 . 7 0 3 7 6 0 . 8 1 2 8 0 . 8 1 6 0 0 . 8 0 9 6 5 5 3 . 6 2 5 5 4 . 2 3 5 5 3 . 0 1 ; L 6 3 6 0 . 8 1 4 4 0 . 8 1 9 0 0 . 8 0 9 8 4 1 5 . 4 4 4 1 6 . 1 1 4 1 4 . 7 6 ; 6 3 7 0 . 8 1 2 9 0 . 8 1 6 5 0 . 8 0 9 3 5 6 2 . 4 1 5 6 3 . 2 1 5 6 1 . 6 1 ! i 6 3 8 0 . 8 0 5 6 0 . 8 0 8 7 0 . 8 0 2 5 7 4 4 . 7 1 7 4 5 . 4 3 7 4 3 . 9 9 ! 6 3 9 0 . 7 9 9 8 0 . 8 0 2 8 0 . 7 9 6 8 8 7 2 . 5 8 8 7 3 . 3 9 8 7 1 . 7 8 1 6 4 0 0 . 7 9 3 4 0 . 7 9 6 5 0 . 7 9 0 4 1 0 0 9 . 3 2 1 0 1 0 . 3 9 1 0 0 8 . 2 6 ; | 6 4 1 . 0 . 7 8 6 8 0 . 7 8 9 8 0 . 7 8 3 8 1 1 0 8 . 8 0 1 1 0 9 . 8 3 1 1 0 7 . 7 6 : L 6 4 2 0 . 7 8 4 5 0 . 7 8 7 4 0 . 7 8 1 6 1 2 3 7 . 5 4 1 2 3 8 . 5 7 1 2 3 6 . 5 0 ! 6 4 3 0 . 7 7 7 6 0 . 7 8 0 4 0 . 7 7 4 7 1 3 3 7 . 4 0 1 3 3 8 . 7 2 1 3 3 6 . 0 7 j i 6 4 4 . 0 . 8 0 0 7 0 . 8 0 3 8 0 . 7 9 7 6 8 2 0 . 8 4 8 2 1 . 7 5 8 1 9 . 9 3 ;' I S 6 9 9 0 . 8 0 9 8 ' 0 . 8 1 5 7 0 . 8 0 3 9 9 0 . 0 3 9 0 . 1 2 8 9 . 9 4 i . S 6 9 9 0 . 7 9 2 9 0 . 8 0 2 7 0 . 7 8 3 1 9 0 . 0 3 9 0 . 1 2 8 9 . 9 4 : 7 0 0 0 . 8 3 9 4 0 . 8 4 5 2 0 . 8 3 3 6 1 0 9 . 8 2 1 0 9 . 9 4 1 0 9 . 7 1 ] 7 0 0 0 . 8 0 5 2 0 . 8 1 2 7 . 0 . 7 9 7 7 1 0 9 , 8 2 1 0 9 . 9 4 1 0 9 . 7 1 i 7 0 1 0 . 8 2 8 6 0 . 8 3 4 0 0 . 8 2 3 3 1 5 6 . 3 4 1 5 6 . 5 2 1 5 6.17""""" i | 7 0 1 0 . 8 2 0 6 0 . 8 2 5 4 0 . 8 1 5 8 1 5 6 . 3 4 1 5 6 . 5 2 1 5 6 . 1 7 - ! } 1 7 0 2 0 . 8 2 2 6 0 . 8 2 6 0 0 . 8 1 9 2 2 4 0 . 3 5 2 4 0 . 6 1 ' 2 4 0 . 0 . 9 f ( 7 0 2 0 . 8 2 6 8 0 . 8 3 1 0 0 . 8 2 2 6 2 4 0 . 3 5 2 4 0 . 6 1 • 2 4 0 . 0 9 i i 7 0 3 0 . 8 2 3 2 0 . 8 2 6 4 . 0 . 8 2 0 1 3 1 6 . 5 3 3 1 6 . 8 4 3 1 6 . 2 3 • 7 0 3 0 . 8 2 1 1 0 . 8 2 4 4 0 . 8 1 7 9 3 1 6 . 5 3 3 1 6 . 8 4 3 1 6 . 2 3 | " 7 0 4 0 . 8 2 0 7 " 6 " . 8 2 3 7 "0"."8T76""~ 3 5 4 . 0 3 " 3 5 4 . 3 3 3 5 3 . 7 2 ~j TABLE 3-9 (CONTINUED) 3-23 ] I RUN K 95% RED 95% NO.J CONFIDENCE__ ; CONFIDENCE i """ " "~ * "'INTERVAL" " " INTER V A L r 704 0.8205 0.8236 0.8174 354.03 354.33 353.72 ! [7"705 0.8158 0.8189 0.8128 420.81 421.15 420.48 i J 705 0.8135 0.8164. 0.8106 420.81 421.15 42 0.48 ! 1 i 706 0.8170 0.8201 0.8140 488.01 488.40 487.61 : r 706 0.8118 0.8147 0.8090 488.01 488.40 487.61 i 249 0.8183 0.8212 0.8154 .474.53 474.95 474.11 ' 250 0.8204 0.8233 0 .8176 470.24 470.66 469.83 i 251 0.8711 0.8744 • 0.8679 432.53 432.94 432.13 ! 252 0.8206 0.8236 0.8176 407.00 407.38 406.61 ; 253 0.8225 0.8255 0 .8194 395.64 396.01 395.26 254 0".824 5 0"«8276~ 0.8214 379.39 379.73 379.05 ; 1 :t 255 0.8137 0.8169 .0.8105 • 350.63 350.94 350.31 ' f 256 0.8234 0.8267 0.8201 343.59 343.89 343.29 1 1 257 0.8303 0.8339 0.8266 311.31 • .. 311.62 311.00 ' 258 0.8249 0.8290 0.8209 282.52 282.80 282.24 j 259 0.8108 0.8155 0.8062 242.21 242.41 242.01 « 260 0.8142 0.8218 0.8067 180.09 180.26 179.92 ; 261 0.8186 0.8320 0.8052 134.53 134.68 134.38 ! 1 262 0.7790 0.8424 0.7157 56.62 56.69 56.56 i 359 0.8141 0.8320 0.7962 175.37 175.60 17 5.13 i 359 0.8280 0.8356 0.8204 175.37 175.60 175.13 r 360 0.8245 0.8349 . 0.8142 237.33 237.56 237,10 i I t 360 0.8236 0.8295 0.8177 237.33 237.56 237.10 \ 361 0.8196 0.8256 0.8137 324.81 325. 19 324.42 : 361 0.8192 0.8246 0.8138 324.81 325.19 324.42 i 363 0.8186 0.8221 0.8151 503.05 503.63 502.48 , 363 ' 0.8194 0.8247 0.8142 ' 503.05 503.63 502.48 ! 366 0.8173 0.8209 0.8137 487.72 488.33 487.11 ; r 366 0.8114 0.8 167""" 0.8062 487.72 488.33 487.11 ; 8 1 367 0.8251 0.8286 0.8216 568.03 568.85 567.20 ! 1 367 0.8139 0.8192 0.8086 568.03 568.85 567.20 1 i i, 368 0.8180 • 0.8233 0.8127 342.29 342.66 341.91 !'• I 368 0.8125 0.8178 0.8073 342.29 342.66 341.91 j-369 0.8130 • 0.8186 0.8075 277.31 277.73 276.90 ! 370 0.7921 0.7989 0.7854 178.86 179. 10 178.62 | TABLE 3-9 (CONTINUED) 3-2U L. RUN NO o 95 % ' CONFIDENCE INTERVAL RED 9 5 % CONFIDENCE INTERVAL I 578 1.0740 1.0884 1.0596 418.10 418.72 417.48 ! j 578 1.1547 1.1868 1.1225 418.10 418.72 417.48 ; > 579 1.0672 1.0760 1.0584 548.86 549.72 548.01 i '. 579 1.1494 1.168 2 1.1307 548.86 549.72 548.01 ' • 580 1.0501 1.0553 1.0448 754.23 754.99 753.47 i • 580 1.1101 1.1195 1.1008 754.23 754.99 753.47 I } 581 1*0364 1.0407 1.0321 921.18 922.09 920.27 1 581 1.0930 1.0995 1.0865. 921.18 922.09 920.27 : 582 1.0231 1.0269' 1.0192 1072.41 1073.41 1071.41 • 582 • 1.0788 1.0840 1.0736 1072.41 1073.41 1071.41 ; ! "583 l 7 0 214""~" 1.0252 1.0176 1131.88 1132.91 113 0.85 : ' 583 1 615 1.0214 1.0252. 1.0176 1131.88 1132.91 1130.85 : 0.8055 0.8106 0.8003 467.22 467,77 466.68 i ij 616 0.8147 0.8183 0.8112 650.34 . 651.02 649.65 - 617 0.7991 0.8021 0.7960 796.33 797.12' 795.54 • 618 0.7981 0.8009 0.7953 944.18 • 945.00 943.37 : 619 0.7880 "0.7907 0.7853, 1066.81 1067.74 106"5 7 8 8 ; 620 0.7922 0.8078 0.7765 246.45 ' 246.86 246.05 : 1 621 0.8503 0.8619 0 .8388 322.77 323 ,17 322.38 ; I 671 0.8665 0.8726 0.8603 138.51 138.67 138.35 ! I 671 0.8094 0.8182 0.8005 138.51 . 138.67 138.35 ! > 672 0.8376 0.8429 0.8324 201.31 201.53 201.09 •' f 672 "' 0.8231 ~0.8 28 0" 0.8181 201.31 201.53 201.09 ! ( 673 0.8394 0.8445 0.8342 234.53 234.78 234.28 ] I 673 0.8329 - 0.8367 0.8291 234.53 234.78 2 3 4.28 i I 674 0.8268 0.8318 0.8217 250.51 250.75 250.27 ; 674 0.8252 0.8288 0.8216 ; 250.51 250.75 250.27 1 675 0.8461 0.8512 0.8409' 301.04 • 301.31 300.77 j t 675 0.8331 0.8 363" 0.8299 301.04 301.31 • 300.77 : | 676 0.8293 0.8343 0.8243 310.11 310.37 309.85 ; { S l l 0.8063 0.8112 0.8015 351.51 351.79 351.22 | 611 0.8264 0.8293 0.8235 351.51 351.79 351.22 ; ' 678 0.8297 0.8325 0.8268 394.29 394.60 393.98 1 i 678 0.8267 0.8299 0.8236 394.29 394.60 393,98 j TABLE 3 - 1 0 3-25 95% CONFIDENCE INTERVAL FOR K AND RED RUN" " K 95%"~ RED 95% NO, CONFIDENCE" CONFIDENCE INTERVAL INTERVAL i l O R I F I C E ;i TYPE S P E C I A L 1 5 B E T A = 0 . 4 1 i 3 6 2 2 0 » 7 0 2 7 0 . 7 0 6 6 0 . 6 9 8 8 2 6 6 . 7 1 2 6 7 . 3 6 2 6 6 . 0 7 : i 6 2 3 0 o 6 7 1 1 0 . 6 7 4 4 0 . 6 6 7 9 6 3 5 . 3 3 6 3 6 . 3 2 6 3 4 . 3 4 '. i 6 2 4 0 o 6 9 3 3 0 . ' 6 9 6 8 0 . 6 8 9 8 2 6 1 . 2 7 2 6 1 . 6 0 2 6 0 . 9 3 i i 6 2 5 0 » 6 8 7 4 0 . 6 9 0 8 0 . 6 8 4 0 3 4 5 . 9 0 3 4 6 . 3 7 3 4 5 . 4 3 i 1 6 2 6 0 o 6 8 3 9 0 o 6 8 7 3 0 . 6 8 0 6 4 3 2 . 7 7 4 3 3 . 3 4 4 3 2 . 2 0 ! 6 2 7 0 » 6 7 2 2 0 . 6 7 5 3 0 . 6 6 9 0 5 4 9 . 8 8 * 5 5 0 , 5 5 5 4 9 . 2 0 ! i — 8 6 2 8 0 o 6 6 8 5 0 o 6 7 1 7 0 . 6 6 5 3 6 6 5 . 1 3 6 6 6 • 0 0 6 6 4 Y 2 6 ! l' i 6 2 9 0 . 6 6 4 0 0 . 6 6 7 1 0 . 6 6 0 9 7 9 9 . 8 8 8 0 0 , 6 5 7 9 9 . 1 1 \ I 6 3 0 O 0 6 6 I O 0 . 6 6 4 2 0 . 6 5 7 9 9 1 2 . 0 0 9 1 3 . 0 6 9 1 0 . 9 4 • j 6 3 1 0 . 6 5 8 5 0 . 6 6 1 7 0 . 6 5 5 4 1 0 4 0 . 5 2 . 1 0 4 1 . 5 9 1 0 3 9 . 4 6 6 3 2 0 o 6 5 8 2 0 . 6 6 1 3 0 . 6 5 5 0 . 1 1 6 4 . 9 1 1 1 6 6 . 1 3 1 1 6 3 . 6 8 i f 6 3 3 0 . 6 5 7 1 0 . 6 6 0 3 0 . 6 5 3 9 1 1 7 7 , 1 4 1 1 7 8 . 5 1 1 1 7 5 . 7 7 1 | 6 3 4 0 » 6 5 8 6 0 . 6 6 1 9 0 . 6 5 5 3 1 2 2 0~. i"6 ' 1 2 2 1 . 5 3 1 2 1 8 . 7 8 i ! 6 3 5 0 . 6 8 3 5 0 . 6 8 6 9 0 . 6 8 0 2 4 1 1 . 9 5 4 1 2 . 5 2 4 1 1 . 3 8 ! 1 6 8 7 0 . 7 3 1 1 0 . 7 3 6 6 0 . 7 2 5 6 6 0 . 2 2 6 0 . 3 6 6 0 . 0 7 ; 1 6 8 7 0 . 7 1 4 8 0 . 7 2 0 0 0 . 7 0 9 6 6 0 . 2 2 6 0 . 3 6 6 0 . 0 7 | i 6 8 8 0 . 7 1 5 7 0 . 7 2 0 8 0 . 7 1 0 6 9 3 . 4 2 9 3 . 5 7 9 3 . 2 8 i L 6 8 8 0 . 7 1 7 2 0 . 7 2 1 0 0 . 7 1 3 3 9 3 . 4 2 9 3 . 5 7 9 3 . 2 8 ! 6 8 9 0 . 7 0 7 2 0 . 7 1 0 7 0 . 7 0 3 7 1 7 0 . 8 1 1 7 1 . 0 4 1 7 0 , 5 7 . ; i 6 8 9 0 . 7 0 3 6 0 . 7 0 7 0 0 . 7 0 0 2 1 7 0 . 8 1 1 7 1 . 0 4 1 7 0 . 5 7 j 6 9 0 0 . 6 9 2 1 0 . 6 9 5 4 0 . 6 8 8 9 2 6 0 . 0 0 2 6 0 . 3 0 2 5 9 . 7 1 1 6 9 1 0 . 6 8 5 0 0 . 6 8 8 2 0 . 6 8 1 7 3 3 2 . 1 9 3 3 2 . 5 7 3 3 1 . 8 0 . 6 9 2 0 . 6 7 5 5 0 . 6 7 8 7 0 . 6 7 2 4 4 0 6 . 3 0 4 0 6 . 6 8 4 0 5 . 9 2 ; 1 6 9 2 0 . 6 7 8 2 0 . 6 8 1 7 0 . 6 7 4 7 4 0 6 . 3 0 4 0 6 . 6 8 4 0 5 . 9 2 i 6 9 3 0 . 6 8 0 0 0 . 6 8 3 2 0 . 6 7 6 8 4 0 0 . 4 7 4 0 0 . 8 1 4 0 0 . 1 3 ; f f 6 9 3 0 . 6 8 2 3 0 . 6 8 5 8 0 . 6 7 8 8 4 0 0 . 4 7 4 0 0 . 8 1 4 0 0 . 1 3 : if 6 9 4 0 . 7 0 7 3 0 . 7 1 0 9 0 . 7 0 3 7 1 3 7 . 4 2 1 3 7 . 6 3 1 3 7 . 2 0 ; J 6 9 4 0 . 7 0 1 5 0 . 7 0 5 1 0 . 6 9 8 0 1 3 7 . 4 2 1 3 7 . 6 3 1 3 7 . 2 0 '• 6 9 5 0 . 6 9 5 9 0 . 6 9 9 2 0 . 6 9 2 6 2 1 2 . 4 9 2 1 2 . 7 7 2 1 2 . 2 1 | 6 9 6 0 . 7 0 4 9 0 . 7 0 8 3 0 . 7 0 1 4 1 6 7 . 8 9 1 6 8 . 1 2 1 6 7 . 6 7 ! 6 9 6 0 . 7 0 0 3 0 . 7 0 3 7 0 . 6 9 6 9 1 6 7 . 8 9 1 6 8 . 1 2 1 6 7 . 6 7 j TABLE 3-10(CONTINUED) RUN NO e 95% CONFIDENCÊ "'"INTERVAL" RED 95 % JL° N J ^ _ D ENCE- INTE RVAL 697 i 69 7 0.7106 0.7142 0.7070 0.7112 0.7150 0.7074 122.29 122.29 122.49 122.10 122.49 12 2.10 TABLE 3-11 95 CONFIDENCE INTERVAL FOR K AND RED RUN "NO." 95 RED 95 CONFIDENCE INTERVAL CONFIDENCE INTERVAL ÔRIFICE TYPE SPECIAL 30 BETA=0.4 I 645 0.7069 0.7105 0.7032 271.98 272.48 2 71.49 : 646 0.6963 0.6998 0.6928 375.67 ' 376.29 375.06 ! J 647 0.6871 0.6905 0.6837 481.39 482.00 480.79 1 648 0.6764 0.6796 0.6731 576.02 576.78 575.27 : j 649 0.6695 0.6726 0.6663 723.87 724.68 723.05 ; i 650 0.6651 0.6683 0.6619 860.86 861.90 859.81 ; \ i 651 0.6600 0.6631_ 0.6569 1021.05 1022.00 1020.09 ' r 652 0.6573 0.6604 "b".~6~542" Tl'4l799 1143.06 1140.93 ; 653 0.6576 0.6608 0.6544 1280.90 1282.07 1279.74 j 654 • 0.7160 0.7212 0.7108 147.65 148.00 . 147.29 ! 655 0.6782 0.6814 0.6750 550.90 551.50 550.30 : J 656 0.6869 0.6904 0.6835 486.97 487.75 486.20 J L 679 0.7136 0.7193 0.7080 51.87 52.04 51.70 j f ""6'79"~ """"0V710 5" 0.7166 0.7045 51.87 52.04 51.70 ; t 680 0.7163 0.7214 0.7113 120.14. 120.30 119.97 ' 680 0.7188 0 .7224 0.7151 120.14 120.30 119.97 j r • 681 ' 0.7155 0.7190 0.7120 171.76 171 .95 71 5 ;681 0.7151 0.7201 0 .7100 171.76 171.95 171.57 L 681 0.7133 0.7167 0.7099 171.76 171.95 171.57 ! r '682'*" 0.6989™ ~0~".702'4~ 0 .6954 287.39 287.86 286.92 j I TABLE 3-11(CONTINUED) 3-27 \ RUN K 95% RED 95% \_NO» CONFIDENCÊ ' CONF I DENCE_ . . . "YMTERVAL" ~" " INTERVAL' ! 682 0 o 7 1 3 5 0 . 7 1 8 5 0 . 7 0 8 5 2 8 7 . 3 9 2 8 7 . 8 6 2 8 6 . 9 2 : 683 0 » 6 9 9 9 0 . 7 0 3 2 0 . 6 9 6 6 2 7 5 . 7 5 2 7 6 . 0 2 2 7 5 . 4 9 1 6 8 4 0 . 7 2 3 9 0 . 7 2 7 9 0 . 7 1 9 9 . 9 8 . 8 2 9 9 . 0 4 9 8 . 6 1 ; i 68 4 0 . 7 2 1 7 0 . 7 2 7 0 0 . 7 1 6 4 9 8 . 8 2 9 9 . 0 4 9 8 . 6 1 : 685 0 . 7 1 9 5 0 . 7 2 3 8 0 . 7 1 5 3 7 7 . 2 0 7 7 . 3 5 7 7 , 0 5 : ; 685 0 , 7 1 9 4 0 . 7 2 4 7 0 . 7 1 4 2 7 7 . 2 0 7 7 . 3 5 7 7 . 0 5 : 686 0 . 6 2 8 2 0 . 6 3 3 5 0 . 6 2 2 9 4 5 . 8 0 4 5 . 9 3 4 5 . 6 7 ' 1 686 0 . 7 2 3 5 0 . 7 2 9 3 0 . 7 1 7 8 4 5 . 8 0 4 5 . 9 3 4 5 . 6 7 i I APPENDIX 1| - CALIBRATIONS U-l The Calibration of Thermocouples and Thermometers. The calibration of thermocouples 1 , 2 , 3> ht 5 and thermometer 1 was carried out using a strain-free Platinum Resistance Thermometer, No, 169 3 l U , made by the American Instrument Company, The thermometer was calibrated by the National Research Council i n 1959* The following quadratic equation describes the temperature resistance curve, | £ - - 1 • AT + BT2 (30) A - 0,00393298 B - - 5 , 8 1 3 8 x I O " 7 / Rb - 2,5121 where R© « resistance in ohms at the freezing point of water Rt » resistance i n ohms at temperature T T « measured temperature, °C A, B - constants The method used was essentially that recorded i n Appendix II of Galloway's (U;) Ph.D. thesis. The results for tiae 5 thermocouples and thermometer are recorded i n Table 1*-«1 ' ^ Least-square-fit equations were calculated and appear as follows: 1 Teal,0"? - 1*5,29751 x EMF(volts) • 32.3721*1*9 ( 3 1 ) . T c g 2,°F - UU-289022 x EMF(volts) • 3 3 . 5 7 U 6 3 0 ' " .-• (32) T c s 3 * ° F - W.337977 x EM~"(volts) + 33.1*8391*6 • — (33) T c s l i,°F - U*,236682 x EMF(volts) + 33.1*18095' , , (31*) T c s 5 * ° F " UU.U75782 x EMF(volts) • 33.301*903 (35) tmal*0* - 1.789271 x T m l,°C • 31.91*788. (36) TABLE U-l DATA FOR THE CALIBRATION OF THERMOCOUPLES 1, 2, 3, U, 5 AND THERMOMETER 1 Muller Bridge Ohms Resistance Thermometer °E Resistance Thermometer oc Thermometer Thermocouple E.M.F. Volts 1 O p 1 2 3 U 5 2.6850 63.68 1 7 . 6 17 .70 0,690 0.680 0 .681 O.683 0.685 2.6552 58.19 1U.55 lU .70 0.577 0.562 0.56U 0.566 0.565 2 .71U* 68.99 20.55 20,70 0,805 0.797 0.796 0.799 0 . 3 0 1 2.7U19 73.9U 23.30 23.55 0 .919 0.910 0*913 0 .918 0 .912 2.772U 7 9 . 6 1 26.U5 26.55 1 .037 1.03U 1.035 1.0U0 1.035 2.80U1 85.37 29.65 29.80 1.168 1.168 1.168 1 .172 1.165 2.8313 90.32 32.Uo 32.65 1,277 1,280 1.282 1 .288 1.282 2.8671 9 6 . 8 0 '' 36.00 36,30 1.U2U 1.U30 1.U30 1.1435 1.U30 2.8995 102.7U 39.30 39.55 1.558 1.565 1.565 1.568 1.566 I ro TABIE h-2 CALIBRATION DATA FOR THERMOMETERS 2 AND' 3 Thermometer 1 °C Thermometer 1 Corrected b y E q . 36 F oF Thermometer 2 °F Thermometer 3 °F 26.25 78.91 79.1 79.2 26.6 79. Sh 79.9 79.85 28 .5 82.9h 83.U 83.3 35.1 9U.75 95.0 95.1 3 0 . 6 86.70 87.0 87.O 29,6 8U.91 85.6 85.5 26.U 79.18 79.U 79. h 2U.U5 75.69 75.8 75.85 22,65 72*1*7 72,7 72.65 19, h 66.66 66.7 66.65 18.0 61iol5 6U.2 61* .20 > 6 .7 .0 .0 1.0 I.I • 1-2 THERMOCOUPLE E M F FIGURE 4-1 CALIBRATION OF THERMOCOUPLE I  > 6 .7 .8 .© 1.0 I .I 1.2 THERMOCOUPLE E M F FIGURE 4-3 CALIBRATION OF THERMOCOUPLE 3  U-8 7 .8 .9 I.D I.I 1.2 THERMOCOUPLE E M F FIGURE 4-5 CALIBRATION OF THERMOCOUPLE 5 TABLE U-3 CALIBRATION DATA FOR CARBON TETRACHLORIDE Thermometer 1 OC D e n s i t y C C l ^ gnio/c.c o 25»0 1.5869 3U.2 1.5705 33 6 1.5712 23oU 1.5*901 28 o9 1.5798 31.95 1.5739 36.1*0 1.5657 21.75 1.5930 19.20 1.5975 1 8 . 1 * 0 1.5992 16.52 1.6020 26.10 1.581*8 TABLE k-h CALIBRATION DATE FOR BENZENE Thermometer 2 Op D e n s i t y C6H6 gra./c.c. 79.3 Oo8722 77.8 0 .8731 76.0 0.871*1 7U.5 0.87U8 73 oO 0.3757 69.6 0.877U 71.8 0.3761 U-io C a l i b r a t i o n o f Thermocouples and Thermometers The data from Table U-l f o r thermocouples 1, 2 , 3, U, 5 and thermometer 1 are p l o t t e d r e s p e c t i v e l y i n F i g u r e s U-l, U-2, U-3, U-U, U-5 and U-6. Thenncmeters 2 and 3 were c a l i b r a t e d u s i n g thermometer 1 as a standard. The data are recorded i n Table U-2. Using equation (36), a corrected temperature, based on the r e s i s t a n c e thermometer was c a l c u l a t e d f o r thermometer 1 i n °F. The recorded temperatures of thermometers 2 and 3 are compared v/ith the correc t e d temperature of thermometer 1 to c a l c u l a t e t h e i r l e a s t squares c a l i b r a t i o n equations.- Thermometer (37) (38) p l o t t e d i n Figures U-7 and lj-< D.  J I I I _ J I I I I 1 I 1 I L 6 6 6 8 7 0 7 2 7 4 7 6 7 8 R E S I S T A N C E T H E R M O M E T E R ° F 'FIGURE k-lt CALIBRATION CF THERMOMETER #2 .  'FIGURE l i - 9 : CALIBRATION OF CARBON TETRACHLORIDE  U-16 C a l i b r a t i o n of Manometer F l u i d s A l l d e n s i t y c a l i b r a t i o n s i-rere c a r r i e d out u s i n g t h e Chemical E n g i n e e r i n g Department 's s e t o f p r e c i s i o n Hydrometers ( C h » E . 11)66) „ The manufacturer c a l i b r a t e d them a t 60° F . They were u s e d , however , a t temperatures between 60° F and 80° F . A Westpha l b a l a n c e , u s i n g d i s t i l l e d w a t e r as an a b s o l u t e s t a n d a r d , was employed to check the hydrometers a t the h i g h e r t e m p e r a t u r e s . The hydrometers used were found to be i n e r r o r by no more t h a n 0.3$. T h e r e f o r e , the hydrometer d e n s i t y r e a d i n g s were a c c e p t e d as c o r r e c t w i t h i n - 0 . 3 $ . The r e s u l t s f o r the c a l i b r a t i o n of carbon t e t r a c h l o r i d e ( s a t u r a t e d w i t h PEG) and benzene ( s a t u r a t e d w i t h PEG) appear r e s p e c t i v e l y i n Tables U-3 and U-U. L e a s t - s q u a r e equat ions f o r the two l i q u i d s a re DENSITY f C C l ) - 1 .632717 - 0.001833 x Tm2 (39) DENSITY (C H ), - 0.91U061 - 0.000527 x T_3 (U0)

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