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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v3.i2.30
16 pages

On the Transition Between Aiding and Opposing Double-Diffusive Flows in a Vertical Porous Cavity

Abdelkhalk Amahmid
Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco
Mohammed Hasnaoui
University Cadi Ayyad, Faculty of Sciences Semlali
Mahmoud Mamou
Aerodynamics Laboratory, NRC Aerospace, Ottawa, Ontario K1AOR6, Canada
Patrick Vasseur
Ecole Polytechnique, Université de Montréal, C.P. 6079, Succ. "Centre ville", Montréal, Québec H3C 3A7, Canada

RÉSUMÉ

Double-diffusive natural convection in a vertical porous layer induced by horizontal gradients of heat and mass is studied analytically and numerically using the Darcy model with the Boussinesq approximation. The governing parameters of the problem are the Rayleigh number, RT the Lewis number, Le, the buoyancy ratio, N, and the aspect ratio of the porous matrix, A. An approximate analytical solution to the present problem is obtained on the basis of the parallel flow approximation. Two types of solutions are found to exist for the situation in which thermal and solutal buoyancy forces oppose each other and are of comparable intensity. The domains of existence of each type of solution are delineated in terms of the buoyancy ratio, N, and the Lewis number, Le. Solving numerically the full governing equations, it is demonstrated that multiple steady-state solutions are possible and they are found to agree with the analytical solution. The results obtained in this article complete the results available in the literature concerning this subject.


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