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Porous media and the Bénard-Marangoni problem

par Hennenberg, Marcel ;Saghir, Ziad;Rednikov, Alexei ;Legros, Jean Claude
Référence Transport in porous media, 27, 3, page (327-355)
Publication Publié, 1997

Article révisé par les pairs

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Résumé :

The Rayleigh-Bénard instability for a clear fluid has its equivalent for a liquid saturated porous matrix. The phenomenological Darcy momentum law cannot give rise by itself to an insta-bility analogous to that of Bénard-Marangoni, but the Brinkman model at least allows it. A critical Marangoni number exists leading to cellullar patterns and, for realistic values of the permeability, it is proportional to the inverse of this last parameter.