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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v6.i2.30
12 pages

Effect of Viscous Dissipation on the Darcy Forced-Convection Flow Past a Plane Surface

E. Magyari
Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zurich, CH-8093 Zurich, Switzerland
Ioan Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
B. Keller
Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zurich, CH-8093 Zurich, Switzerland

SINOPSIS

The uniform forced-convection flow in a fluid-saturated porous medium adjacent to a plane surface with prescribed temperature distribution Tw = Tw(x) is considered. The effect of viscous dissipation is included in the energy balance equation as a quadratic term of the Darcy velocity (see Bejan, 1984, 1995). It is shown that the usual asymptotic condition T (x, y ® Ґ) = const, єTҐ (as it was applied in some recent publications dealing with mixed-convection problems) contradicts this balance equation. In the present paper, -the appropriate asymptotic condition (a linear function of x) is specified and it is shown that this steady forced-convection problem can formally be reduced to a standard transient heat conduction problem in a homogeneous semi-infinite solid. By exploiting this analogy, several examples solvable in exact analytic form are presented.


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