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Computational Thermal Sciences: An International Journal

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ISSN Druckformat: 1940-2503

ISSN Online: 1940-2554

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UNSTEADY NATURAL CONVECTION IN AN ANISOTROPIC POROUS MEDIUM BOUNDED BY FINITE THICKNESS WALLS

Volumen 2, Ausgabe 5, 2010, pp. 469-485
DOI: 10.1615/ComputThermalScien.v2.i5.60
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ABSTRAKT

In this paper, a numerical study of unsteady natural convection in a fluid-saturated porous medium bounded by two equal-thickness walls has been made. The porous medium is assumed to be both hydrodynamically and thermally anisotropic. The vertical walls are isothermal at different temperatures, the horizontal walls are adiabatic. For modeling fluid flow inside the porous material, the Darcy flow model is assumed to hold. For heat transfer, we assume the validity of the local thermal equilibrium assumption. The classical finite volume method is used to solve the resulting dimensionless governing equations. Satisfactory agreement was obtained between results that validate the used computer code. The governing parameters considered for the analysis are the permeability ratios, Rpx and Rpz, the thermal conductivity ratios, Rcx and Rcz, the wall-to-porous medium heat capacity, σω, the wall-to-porous thermal conductivity ratio, Rω, and the ratio of the wall thickness to its height, D. The results show that lower values of Rcz, and/or higher values of Rpx, have negligible effects on the heat transfer rate but they are strongly subordinate to Rcx, Rpz, Rω, σω and D. Moreover, small values of Rcx, Rω, and σω, or larger values of Rpz and Rω, enhance convection inside the enclosure.

REFERENZIERT VON
  1. Harzallah Hosni Souheil, Jbara Abdessalem, Slimi Khalifa, Double-Diffusive Natural Convection in Anisotropic Porous Medium Bounded by Finite Thickness Walls: Validity of Local Thermal Equilibrium Assumption, Transport in Porous Media, 103, 2, 2014. Crossref

  2. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2017. Crossref

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