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We consider the onset of convection in a porous medium heated from below and subjected to a horizontal mean flow. The effect of porous inertia is studied, and the transverse aspect ratio a of the medium is taken into accout. We find that the dominant modes are longitudinal rolls (L.R) if a is an integer or transverse traveling rolls (T.R) if a is below ac with ac<1. When a is not an integer with a>ac, the setting on patterns are oscillatory three-dimensional structures (3D) for a>1 or T.R for ac<a<1 provided that the Reynolds number remains below a critical value ReK*. We show that these structures are replaced by L.R if ReK>ReK*. To cite this article: A. Delache et al., C. R. Mecanique 330 (2002) 885–891.  相似文献   
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Transport in Porous Media - The linear and weakly nonlinear stability analyses are carried out to study instabilities in Darcy–Bénard convection for non-Newtonian inelastic fluids. The...  相似文献   
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The results of the study of the global behaviour of the convective flow of a binary mixture in a porous medium are presented. Bifurcation diagram, fixed points, periodic, chaotic solutions, stable and unstable manifolds, and basins of attraction have been calculated. Different behaviours (chaos, undecidable behaviour, etc.) have been found.  相似文献   
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