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Journal of Porous Media

 

ISSN for PRINT: 1091-028X

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$713.00

Issues per year:

8

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2007, Volume10

Issue 8

  126 pages  

DOI: 10.1615/JPorMedia.v10.i8   

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  • Soret Effect on Double-Diffusive Boundary Layer Flows in a Vertical Porous Cavity
  • M. Er-Raki
    Faculty of Sciences Semlalia, Physics Department, B.P. 2390, Marrakesh, Morocco

    Mohamed Hasnaoui
    Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco

    Abdelkhalk Amahmid
    Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco

    M. Mamou
    National Research Council of Canada, Ottawa, Ontario, Canada, K1A 0R6

    M. Bourich
    Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco


    ABSTRACT

    A thorough analytical and computational investigation is performed to study the Soret effect on double-diffusive boundary layer flows in a vertical porous layer. The present investigation is focused on situations where the boundary layer scale power index (δ ∼ RmT) changes from m = −2/5 to m = −1/2, in which the Soret effect plays a central role. It is found that, depending on the Lewis number, there exist various domains in the N-SP plane where the boundary layer presents specific behaviors. In these domains, the horizontal profiles of velocity and fluid density are of boundary layer type, even though neither the temperature nor the concentration profiles exhibited a boundary layer character. For large values of Le, the thickness of the vertical boundary layer was found to increase or decrease with SP, depending on the sign of the buoyancy ratio, N. Some new correlations are derived for the boundary layer thickness scale, and the effect of the Soret coefficient is emphasized.

    DOI: 10.1615/JPorMedia.v10.i8.40

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