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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.v15.i10.30
pages 909-926

ANALYTICAL AND NUMERICAL STUDY OF DOUBLE DIFFUSIVE NATURAL CONVECTION IN A CONFINED POROUS MEDIUM SUBJECTED TO HEAT AND MASS FLUXES

Smail Benissaad
Laboratory of Applied Energy and Pollution, Mechanical Engineering Department, University Mentouri, Constantine, Algeria
Nabil Ouazaa
Laboratory of Applied Energy and Pollution, Mechanical Engineering Department, University Mentouri, Constantine, Algeria

RÉSUMÉ

We are interested in the theoretical and numerical study of coupled heat and mass transfer in a porous medium saturated by a binary fluid in a two-dimensional rectangular cavity. Uniform and constant heat and mass fluxes are imposed on the horizontal walls, whereas the vertical walls are considered impermeable and adiabatic. We used the model of Darcy to establish the mathematical model describing the phenomenon of double diffusion natural convection within the porous medium. In the case of an elongated cavity subjected to uniform and constant heat and mass fluxes, it is possible to use the parallel flow hypothesis to obtain an analytical solution describing the fields of stream function, temperature, and concentration. The obtained results showed an excellent agreement between the analytical solution and the numerical simulation and allowed the evaluation of the effects of control parameters on the flow structure and on the heat and mass transfer.


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