Specific behaviour of thermosolutal convection induced in a vertical porous medium in the case of a separation coefficient identical to the ratio of buoyancy forces

Mohammed Er-Raki; Mohammed Hasnaoui; Abdelkhalk Amahmid; Mohammed El Ganaoui

doi:10.1016/j.crme.2007.12.001

Specific behaviour of thermosolutal convection induced in a vertical porous medium in the case of a separation coefficient identical to the ratio of buoyancy forces

Presented by: René Moreau

Mohammed Er-Raki ¹; Mohammed Hasnaoui ¹ ; Abdelkhalk Amahmid ¹; Mohammed El Ganaoui ²

¹ Faculté des sciences Semlalia, département de physique, LMFE, UFR TMF, B.P. 2390, Marrakech, Maroc
² Faculté des sciences et techniques de Limoges, SPCTS, UMR 6638 – CNRS, 123, rue Albert-Thomas, 87000 Limoges, France

Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 304-312.

Abstract
Résumé

Thermosolutal natural convection induced in a vertical porous layer heated and salted with uniform fluxes is studied analytically and numerically. The study is focused on a specific case where the separation coefficient is identical to the ratio of buoyancy forces. Analytical results, describing both pseudo-conductive and boundary layer regimes, are discussed. Specific behaviour, corresponding to this particular situation, is presented.

La convection thermosolutale induite dans une couche poreuse verticale, soumise à des flux de chaleur et de masse uniformes, est étudiée analytiquement et numériquement. L'étude est focalisée sur un cas spécifique pour lequel le coefficient de séparation est identique au rapport des forces de poussées thermique et solutale. Des résultats analytiques, décrivant les régimes pseudo-conductif et de couche limite, sont discutés. Des comportements spécifiques, correspondant à cette situation particulière, sont discutés.

Received: 2007-06-08
Accepted: 2007-11-22
Published online: 2008-01-10

DOI: 10.1016/j.crme.2007.12.001

Keywords: Porous media, Soret effect, Thermosolutal convection, Fluid dynamics, Analytical and numerical study
Mots-clés : Milieux poreux, Effet Soret, Convection thermosolutale, Dynamique des fluides, Étude analytique et numérique

Author's affiliations:

Mohammed Er-Raki ¹; Mohammed Hasnaoui ¹; Abdelkhalk Amahmid ¹; Mohammed El Ganaoui ²

¹ Faculté des sciences Semlalia, département de physique, LMFE, UFR TMF, B.P. 2390, Marrakech, Maroc
² Faculté des sciences et techniques de Limoges, SPCTS, UMR 6638 – CNRS, 123, rue Albert-Thomas, 87000 Limoges, France

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     author = {Mohammed Er-Raki and Mohammed Hasnaoui and Abdelkhalk Amahmid and Mohammed El Ganaoui},
     title = {Specific behaviour of thermosolutal convection induced in a vertical porous medium in the case of a separation coefficient identical to the ratio of buoyancy forces},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {304--312},
     publisher = {Elsevier},
     volume = {336},
     number = {3},
     year = {2008},
     doi = {10.1016/j.crme.2007.12.001},
     language = {en},
}

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Mohammed Er-Raki; Mohammed Hasnaoui; Abdelkhalk Amahmid; Mohammed El Ganaoui. Specific behaviour of thermosolutal convection induced in a vertical porous medium in the case of a separation coefficient identical to the ratio of buoyancy forces. Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 304-312. doi : 10.1016/j.crme.2007.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.12.001/

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