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Abstract of "ANALYTICAL AND NUMERICAL STUDY OF DOUBLE DIFFUSIVE PARALLEL FLOW INDUCED IN A VERTICAL POROUS LAYER SUBJECTED TO CONSTANT HEAT AND MASS FLUXES"

DOI: 10.1615/ICHMT.2000.TherSieProcVol2.830
170 pages

Abdelkhalk Amahmid
Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco

Mohammed Hasnaoui
Cadi Ayyad University, Faculty of Sciences Semlalia, Physics Department, UFR TMF, Laboratory of Fluid Mechanics and Energetics (LMFE), B.P. 2390, Marrakech, Morocco

Samira Douamna
Physics Department, LMFE, Faculty of Sciences Semlalia, B. P. 2390, Marrakesh, Morocco

Abstract

Multiplicity of solutions induced by opposing thermal and solutal buoyancy forces in a vertical porous layer subject to horizontal fluxes of heat and mass is studied analytically and numerically using the Darcy model. The governing parameters for the problem are the Rayleigh number, RT, the Lewis number, Le, the buoyancy ratio, N and the aspect ratio of the porous matrix, A. The analytical solution developed is based on the parallel flow approximation. The effect of the parameters Le and N on the multiplicity of solutions is studied. It is demonstrated, in this study, that numerical multiple steady state solutions, that agree very well with the analytical ones, are possible when the aspect ratio of the porous layer is large enough. It is also found that the heat and mass transfer depend strongly on the solution considered when multiple steady states are existing.

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