Open Access

ARTICLE

CFD ANALYSIS OF FREE CONVECTION IN NON-DARCIAN POROUS MEDIUM AND COMPARISON WITH SIMILARITY APPROACH

Elyazid Flilihi^a,† , Mohammed Sriti^b, Driss Achemlal^a, Mohamed El haroui^c

a Sidi Mohamed Ben Abdellah University, Polydisciplinary Faculty of Taza, Engineering Sciences Laboratory, BP.1223, Taza, Morocco
b Moulay Ismail University, ENSAM Engineering School, Energy Department, Marjane 2, BP 15290, Al Mansour Meknes, Morocco
c Moulay Ismail University, Faculty of Sciences and Techniques, FST, Fluid Mechanic and Heat Transfer Laboratory, BP.509, Boutalamine, Errachidia, Morocco
† Corresponding author. Email: elyazid_flilihi@yahoo.fr

Frontiers in Heat and Mass Transfer 2021, 17, 1-6. https://doi.org/10.5098/hmt.17.7

Abstract

In this work, a numerical simulation of steady and laminar free convection flow over a heated vertical flat plate embedded in a saturated porous medium by a Newtonian fluid is presented and analyzed. The Brinkman-Forchheimer extension of Darcy’s law has been adopted to describe the movement of fluid within the porous matrix. A numerical solution of the governing continuity, momentum and energy equations was made with the appropriate boundary conditions using ANSYS/FLUENT software based on finite volume method. The found results are graphically presented and physically discussed for main controling parameters. Subsequently, we compared our CFD calculation by the results obtained with the similarity method in terms of temperature profiles for selected values of the Rayleigh number. It is essentially found that the increase in the Rayleigh number promotes the flow and the transfer of heat by convection in the porous medium.

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Keywords

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