COMBINED EFFECT OF THERMAL DISPERSION AND VARIABLE VISCOSITY OF NON-DARCY CONVECTION HEAT TRANSFER IN A FLUID-SATURATED POROUS MEDIUM

Mohamed F. El-Amin; Amgad Salama; A. A.  El-Amin; R.S.R. Gorla

doi:10.1615/JPorMedia.v16.i5.70

Journal of Porous Media

Editor chefe: Kambiz Vafai (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1091-028X

ISSN On-line: 1934-0508

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COMBINED EFFECT OF THERMAL DISPERSION AND VARIABLE VISCOSITY OF NON-DARCY CONVECTION HEAT TRANSFER IN A FLUID-SATURATED POROUS MEDIUM

Volume 16, Edição 5, 2013, pp. 471-482

DOI: 10.1615/JPorMedia.v16.i5.70

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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

Amgad Salama
Research Associate

A. A. El-Amin
Department of Physics, Faculty of Science, Aswan University, Aswan 81528, Egypt

R.S.R. 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

RESUMO

In this paper, the effects of thermal dispersion and variable viscosity on the non-Darcy free, mixed, and forced convection heat transfer along a vertical flat plate embedded in a fluid-saturated porous medium are investigated. Forchheimer extension is employed in the flow equation to express the non-Darcy model. The fluid viscosity varies as an inverse linear function of temperature. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions of the governing equations, for an isothermally heated plate, are obtained. Effects of the physical parameters, which govern the problem, on the rate of heat transfer in terms of Nusselt number, the slip velocity, and the boundary layer thickness, for the two cases Darcy and non-Darcy, are shown on graphs or entered in tables.

Palavras-chave: porous medium, thermal dispersion, convection heat transfer, variable viscosity, non-Darcy

CITADO POR

Nield Donald A., Bejan Adrian, External Natural Convection, in Convection in Porous Media, 2017. Crossref

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