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Stability of traveling fronts in a model for porous media combustion Ghazaryan, Anna
Description
We consider a model of combustion in hydraulically resistant porous media. There are several reductions of this systems that can be used to understand the evolution of the combustion fronts. One reduction is based on the assumption that the ratio of pressure and molecular diffusivities is close to zero, a different reduction is obtained when the Lewis number chosen in a specific way. Fronts exists in both reduced systems. For the stability analysis of the fronts, we, first, consider initial conditions of a specific form, then show that the stability results extend to the fronts in the full system with the same Lewis number. The fronts are either absolutely unstable or convectively unstable.
Item Metadata
Title |
Stability of traveling fronts in a model for porous media combustion
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-22T11:31
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Description |
We consider a model of combustion in hydraulically resistant porous media. There are several reductions of this systems that can be used to understand the evolution of the combustion fronts. One reduction is based on the assumption that the ratio of pressure and molecular diffusivities is close to zero, a different reduction is obtained when the Lewis number chosen in a specific way. Fronts exists in both reduced systems. For the stability analysis of the fronts, we, first, consider initial conditions of a specific form, then show that the stability results extend to the fronts in the full system with the same Lewis number. The fronts are either absolutely unstable or convectively unstable.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Miami University
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Series | |
Date Available |
2017-12-20
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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 |
10.14288/1.0362150
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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