Analytical and numerical investigation of double diffusion in thermally anisotropy multilayer porous medium |
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| Authors: | R Bennacer A A Mohamad M El Ganaoui |
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| Institution: | (1) LEEVAM 5 mail Gay Lussac, Neuville sur Oise, 95031 Cergy-Pontoise Cedex, France;(2) Department of Mechanical and Manufacturing Engineering, CEERE University of Calgary, Calgary, Alberta, Canada, T2 N 1 N4;(3) Faculté des Sciences et Techniques de Limoges, 123 Albert Thomas, 87060 Limoges, France |
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| Abstract: | Double-diffusive natural convection within a multilayer anisotropic porous medium is studied numerically and analytically. The domain composed of two horizontal porous layers is subjected to a uniform horizontal heat flux and a vertical mass flux, where only the lower one is thermally anisotropic. Darcy model with classical Boussinesq approximation is used in formulating the mathematical model. The effect of thermal anisotropy and the relative width of the two layers on the flow and transfers is illustrated with characterising the transitions from the diffusive to the convective solution. Results were well compared with respect to a developed analytical approach, based on a parallel flow approximation for thermally anisotropic multilayer media. |
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