Convective Instability of Reaction Fronts in Porous Media
K. Allali, A. Ducrot, A. Taik, V. Volpert (2010)
Mathematical Modelling of Natural Phenomena
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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.