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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i1.20
pages 21-38

Non-Darcy Free Convective Heat Transfer from a Plate in a Porous Medium

Mohamed F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258; King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

RÉSUMÉ

In this article, the problem of buoyancy-induced flow over a horizontal or a vertical flat plate embedded in a fluid-saturated non-Darcy porous medium is studied. Forchheimer extension is considered in the flow equations. Similarity solutions for the transformed governing equations are obtained, with a prescribed variable surface temperature or variable surface heat flux, for each position of the plate. Values of the slip velocity, Nusselt number for variable surface temperature as well as excess surface temperature for variable surface heat flux, and the total heat transfer as well as the momentum flux, which are plotted in figures, have been presented for different values of the given parameters for the two cases of horizontal and vertical plates.


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