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ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508
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Effect of Viscous Dissipation on the Darcy Forced-Convection Flow Past a Plane Surface
Краткое описание
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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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
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Nield D. A., The Modeling of Viscous Dissipation in a Saturated Porous Medium, Journal of Heat Transfer, 129, 10, 2007. Crossref
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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
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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
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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
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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
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Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref