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

E. Magyari; Ioan Pop; B. Keller

doi:10.1615/JPorMedia.v6.i2.30

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

Volume 6, Edição 2, 2003, 12 pages

DOI: 10.1615/JPorMedia.v6.i2.30

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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

RESUMO

The uniform forced-convection flow in a fluid-saturated porous medium adjacent to a plane surface with prescribed temperature distribution T_w = T_w(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, єT_Ґ (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.

CITADO POR

Magyari E., Pop I., Keller B., Unsteady Free Convection along an Infinite Vertical Flat Plate Embedded in a Stably Stratified Fluid-Saturated Porous Medium, Transport in Porous Media, 62, 2, 2006. Crossref
Nield D. A., The Modeling of Viscous Dissipation in a Saturated Porous Medium, Journal of Heat Transfer, 129, 10, 2007. Crossref
Mathieu-Potvin François, Gosselin Louis, Bilinearization Approach for Diffusion Problems Involving the Calculation of Dissipative Fields, Numerical Heat Transfer, Part B: Fundamentals, 55, 6, 2009. Crossref
Goldstein R.J., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Heat transfer—A review of 2003 literature, International Journal of Heat and Mass Transfer, 49, 3-4, 2006. Crossref
Rashad A.M., Response to the comments of Asterios Pantokratoras on “Perturbation analysis of radiative effect on free convection flows in porous medium in the presence of pressure work and viscous dissipation”, Communications in Nonlinear Science and Numerical Simulation, 14, 1, 2009. Crossref
Rees D, Keller B, Magyari E, Effect of Viscous Dissipation on the Flow in Fluid Saturated Porous Media, in Handbook of Porous Media, Second Edition, 2005. Crossref
Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref

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