Geodesic
Influence of Vibrations on Convective Instability of Reaction Fronts in Porous Media
H. Aatif1 ; K. Allali1 ; K. El Karouni1
1 Department of Mathematics, University Hassan II, M.A.C. Laboratory, P.O. Box 146, FST-Mohammadia, Morocco
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 123-137

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The aim of this paper is to study the effect of vibrations on convective instability of reaction fronts in porous media. The model contains reaction-diffusion equations coupled with the Darcy equation. Linear stability analysis is carried out and the convective instability boundary is found. The results are compared with direct numerical simulations.
DOI : 10.1051/mmnp/20105508

H. Aatif 1 ; K. Allali 1 ; K. El Karouni 1

1 Department of Mathematics, University Hassan II, M.A.C. Laboratory, P.O. Box 146, FST-Mohammadia, Morocco 
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H. Aatif; K. Allali; K. El Karouni. Influence of Vibrations on Convective Instability of Reaction Fronts in Porous Media. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 123-137. doi: 10.1051/mmnp/20105508

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