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Capillarity in complicated geometries Zakershobeiri, Mohammad Amin
Abstract
In this thesis, a novel visco-inertial formulation of capillarity is proposed that geometrically extends the Bosanquet equation to irregular geometries, taking the effect of inertia and the dynamic contact angle into account. The governing equation is an integro-differential equation that is solved numerically and compared with computer simulations, experimental data, and other cases available in the literature. The numerical examples investigated in this work show that contrary to flat channels and tubes, inertial effects decay much slower in corrugated channels and tubes due to the walls’ geometrical fluctuations. Most importantly, it will be shown that the true solution for Jurin’s height in irregular capillaries is path-dependent and highly sensitive to the initial conditions, and no single static equilibrium solution can necessarily be attributed to the eventual position of the meniscus. Resulting from the non-linear dynamics, the multiple equilibria in the presence of gravity for irregular capillaries can only be analyzed if the effect of inertia is considered, which has largely been neglected in the literature thus far.
Item Metadata
Title |
Capillarity in complicated geometries
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Creator | |
Supervisor | |
Publisher |
University of British Columbia
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Date Issued |
2021
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Description |
In this thesis, a novel visco-inertial formulation of capillarity is proposed
that geometrically extends the Bosanquet equation to irregular geometries,
taking the effect of inertia and the dynamic contact angle into account.
The governing equation is an integro-differential equation that is solved
numerically and compared with computer simulations, experimental data,
and other cases available in the literature. The numerical examples investigated
in this work show that contrary to flat channels and tubes,
inertial effects decay much slower in corrugated channels and tubes due
to the walls’ geometrical fluctuations. Most importantly, it will be shown
that the true solution for Jurin’s height in irregular capillaries is path-dependent
and highly sensitive to the initial conditions, and no single static equilibrium
solution can necessarily be attributed to the eventual position
of the meniscus. Resulting from the non-linear dynamics, the multiple equilibria
in the presence of gravity for irregular capillaries can only be analyzed
if the effect of inertia is considered, which has largely been neglected in the
literature thus far.
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Genre | |
Type | |
Language |
eng
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Date Available |
2021-11-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0402578
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2021-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International