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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i5.40
pages 455-469

Hydrodynamic Boundary Conditions Effects on Soret-Driven Thermosolutal Convection in a Shallow Porous Enclosure

M. Bourich
Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco
Mohammed Hasnaoui
Cadi Ayyad University, Faculty of Sciences Semlalia, Physics Department, UFR TMF, Laboratory of Fluid Mechanics and Energetics (LMFE), B.P. 2390, Marrakech, Morocco
Mahmoud Mamou
National Research Council of Canada, Ottawa, Ontario, Canada, K1A 0R6
Abdelkhalk Amahmid
Faculty of Sciences Semlalia, Physics Department, UFR TMF, BP 2390, Marrakesh, Morocco

ABSTRACT

A comparative study on fluid flow and heat and mass transfer, induced by Soret-driven thermosolutal convection in a horizontal porous layer subject to constant fluxes of heat, is conducted for the cases where both horizontal boundaries are stress-free or rigid. The problem formulation is based on the Brinkman-extended Darcy model with the Boussinesq approximation, and the governing equations are solved, analytically and numerically, using a finite-difference method. The critical Rayleigh number for the onset of supercritical and subcritical convection is predicted explicitly as a function of the governing parameters. The threshold for oscillatory flows is also predicted, and the stability diagram, defining various convective regimes, is illustrated. As expected, both free and rigid boundaries yield results that are identical to those predicted by the Darcy model when the Darcy number is small enough. For sufficiently large values of the separation parameter φ, the Nusselt and Sherwood numbers corresponding to free and rigid boundaries exhibit asymptotic behaviors. It is also found that, as expected, the flow intensity and heat and mass transfer rates are more affected by thermal diffusion effects in the case of free boundaries in comparison to rigid ones.


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Comparison Between Free and Rigid Boundaries Effects on Soret Driven Thermosolutal Convection in a Shallow Porous Enclosure
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