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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i1.50
pages 69-82

Numerical Study of Thermosolutal Convection in Anisotropic Porous Media Subject to Cross-Fluxes of Heat and Mass

Fakher Oueslati
Al-Baha University, Physics Department, Faculty of Science, 6543 Al-Baha, Kingdom of Saudi Arabia; University of Tunis El-Manar, Laboratory of Physics of Fluids, Physics Department, Faculty of Science of Tunis, 2092 El-Manar 2, Tunis, Tunisia
Habib Sammouda
Higher School of Science and Technology of Hammam Sousse- Sousse university- Tunisia
Ali Belghith
Faculte des Sciences de Tunis, Laboratoire des Transferts de Chaleur et de Masse, Campus Universitaire, 1060 Tunis, Tunisia


In this paper, we present a numerical study of an anisotropic porous medium where we analyze double-diffusive natural convection in a square cavity filled with porous media that is subject to uniform heat flux along vertical walls and a solutal flux along horizontal surfaces. The formulation of the problem is based on the Darcy−Brinkman model. The density variation of the saturating fluid is taken into account by the Boussinesq approximation. The system of the coupled equations is solved by the classic finite volume method.
The effect of anisotropy in permeability is analyzed through the terms of the average heat and mass transfer on the vertical and horizontal walls of the cavity, respectively. We realized that the results depend on several characteristic parameters, and general correlations are established for the calculation of heat and mass transfer, according to various studied parameters. According to the buoyancy ratio, we found three distinct regimes: thermal convective, diffusive, and intermediate. The transition from one regime to another is strongly affected by the permeability anisotropy. The effects of porous thermal Rayleigh and Lewis numbers are investigated for different values of permeability ratio characteristic of the anisotropy of porous media.

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