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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2015013165
pages 231-243

FINITE DIFFERENCES ANALYSIS ON NONUNIFORM MESH FOR FREE CONVECTION IN A POROUS MEDIUM AND COMPARISON WITH SIMILARITY APPROACH

Driss Achemlal
University of Sidi Mohammed Ben Abdellah, Polydisciplinary Faculty of Taza
M. Sriti
University of Sidi Mohamed Ben Abdellah, Polydisciplinary Faculty of Taza, LSI, Team of Numerical Modeling in Mechanics Applied (MNMA), BP.1223, Taza, Morocco

RÉSUMÉ

In this study, a numerical simulation of steady and laminar free convection flow over a heated vertical flat plate embedded in an unbounded saturated porous medium is presented. A computer program based on the finite differences method, is developed to obtain numerical solutions for resulting governing equations of mass, Darcy, and energy. Afterward, we validated our computational code by comparing the obtained results to those of the similarity approach. Subsequently, we conducted a parametric study of all parameters involved in the problem of heat transfer and flow. This study has been accompanied by the graphic representations and detailed analyses at the physical character.


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