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Curvature effect in shear flow: slowdown of flame speeds with Markstein number Xin, Jack
Description
A well-known folklore in combustion community is that curvature effect in general slows down flame propagation speeds because it smooths out wrinkled flames. As the first theoretical result in this direction, we prove that the effective flame speed is decreasing with respect to curvature diffusivity (Markstein number) for shear flows in the level-set G-equation model. The proof involves several novel and rather sophisticated inequalities arising from the nonlinear structure of the equation. We also show similar phenomenon in non-shear flows numerically. This is joint work with Jiancheng Lyu and Yifeng Yu.
Item Metadata
Title |
Curvature effect in shear flow: slowdown of flame speeds with Markstein number
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-06-20T09:00
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Description |
A well-known folklore in combustion community is that curvature effect in general slows down flame propagation speeds because it
smooths out wrinkled flames. As the first theoretical result in this direction, we prove that the effective flame speed is
decreasing with respect to curvature diffusivity (Markstein number) for shear flows in the level-set G-equation model. The proof
involves several novel and rather sophisticated inequalities arising from the nonlinear structure of the equation. We also show
similar phenomenon in non-shear flows numerically. This is joint work with Jiancheng Lyu and Yifeng Yu.
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Extent |
27.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of California at Irvine
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Series | |
Date Available |
2019-03-15
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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 |
10.14288/1.0376905
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International