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NON-DARCIAN EFFECTS ON DOUBLE-DIFFUSIVE CONVECTION WITHIN A POROUS MEDIUM

M. Karimi‐FardInstitut de Mécanique des Fluides de Toulouse , UMR CNRS-INP-UPS, Toulouse , 5502 , FranceMarie-Catherine Charrier-MojtabiInstitut de Mécanique des Fluides de Toulouse , UMR CNRS-INP-UPS, Toulouse , 5502 , FranceKambiz VafaiDepartment of Mechanical Engineering , Ohio State University , Columbus , Ohio , 43210 , USA
1997en
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This work describes a numerical study of double-diffusive natural convection in a square cavity filled with a porous medium. The flow is driven by a combined buoyancy effect due to both temperature and concentration variations. Several different flow models for porous media, such as Darcy flow, Forchheimer's extension, Brinkman's extension, and the generalized flow are considered. The coupled equations are solved using a finite volume approach with a projection algorithm for the momentum equation. Non-Darcian effects are analyzed through investigating the average heat and mass transfer rates. This study consists of a global analysis of each model and the comparison between them when the Darcy number varies. This work also focuses on the influence of the Lewis number on the inertial and boundary effects. It is shown that the inertial and boundary effects have a profound effect on the double-diffusive convection.

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