On the thermal anisotropy affecting transfers in a multilayer porous medium

Rachid Bennacer; Mohammed El Ganaoui; Pierre Fauchais

doi:10.1016/j.crme.2004.03.002

On the thermal anisotropy affecting transfers in a multilayer porous medium

Presented by: René Moreau

Rachid Bennacer ¹; Mohammed El Ganaoui ² ; Pierre Fauchais ²

¹ LEEE-EEVAM, 5, mail Gay Lussac, Neuville sur Oise, 95031, Cergy-Pontoise, France
² Faculté des sciences et techniques de Limoges, SPCTS UMR 6638 CNRS, 123, Albert Thomas, 87000 Limoges, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 539-546.

Abstract
Résumé

An analytical model for studying double-diffusive natural convection within a multilayer anisotropic porous medium is developed and validated with respect to a direct numerical silmulation. The studied domain is composed of two horizontal porous layers where the lower one is thermally anisotropic and is submitted to a uniform horizontal heat flux and a vertical mass flux. The assumption of parallel flow is validated and the effect of anisotropy on dynamic transitions is investigated.

Un modèle analytique est développé pour l'étude de la convection double diffusive dans un milieu poreux multicouche thermiquement anisotrope et comparé à un modèle de simulation numérique directe. Le domaine composé de deux couches poreuses horizontales est soumis à un flux thermique horizontal et à un flux massique vertical, la couche inférieure est thermiquement anisotrope. L'hypothèse d'un écoulement parallèle est validée et l'effet de l'anisotropie sur les transitions dynamiques est qualifié.

Received: 2002-12-04
Accepted: 2004-03-18
Published online: 2004-04-30

DOI: 10.1016/j.crme.2004.03.002

Keywords: Fluid mechanics, Multilayer porous media, Instability and transition
Mots-clés : Mécanique des fluides, Milieu poreux multicouches, Instabilité et transition

Author's affiliations:

Rachid Bennacer ¹; Mohammed El Ganaoui ²; Pierre Fauchais ²

¹ LEEE-EEVAM, 5, mail Gay Lussac, Neuville sur Oise, 95031, Cergy-Pontoise, France
² Faculté des sciences et techniques de Limoges, SPCTS UMR 6638 CNRS, 123, Albert Thomas, 87000 Limoges, France

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     title = {On the thermal anisotropy affecting transfers in a multilayer porous medium},
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     year = {2004},
     doi = {10.1016/j.crme.2004.03.002},
     language = {en},
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Rachid Bennacer; Mohammed El Ganaoui; Pierre Fauchais. On the thermal anisotropy affecting transfers in a multilayer porous medium. Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 539-546. doi : 10.1016/j.crme.2004.03.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.03.002/

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