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ISSN: 1091-028X Print
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DOI: 10.1615/JPorMedia.v6.i2
Pages: 70
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DOI: 10.1615/JPorMedia.v6.i2.30
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Article price - $35.00 |
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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
Faculty of Mathematics, University of Cluj, R3400 Cluj, CP253, Romania
B. Keller
Chair of Physics of Buildings, Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zurich, CH-8093 Zurich, Switzerland
ABSTRACT
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.
pages 12
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