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Convective Instability of Reaction Fronts in Porous Media

Published online by Cambridge University Press:  15 June 2008

K. Allali ,
A. Ducrot ,
A. Taik  and
V. Volpert
K. Allali*
Affiliation:
Department of Mathematics, University Hassan II, Mohammedia, Morocco
A. Ducrot
Affiliation:
University Bordeaux 2, UMR 5466 CNRS, 33076 Bordeaux, France
A. Taik
Affiliation:
Department of Mathematics, University Hassan II, Mohammedia, Morocco
V. Volpert
Affiliation:
University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
*
[email protected]
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Abstract

We study the influence of natural convection on stability of reaction fronts in porous media. The model consists of the heat equation, of the equation for the depth of conversion and of the equations of motion under the Darcy law. Linear stability analysis of the problem is fulfilled, the stability boundary is found. Direct numerical simulations are performed and compared with the linear stability analysis.

Keywords

natural convectionDarcy lawBoussinesq approximationlinear stability analysis
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 2 , Issue 2: Reaction-diffusion waves , 2007 , pp. 20 - 39
Copyright
© EDP Sciences, 2007

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