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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 55, 2009 - Issue 2
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Original Articles

Heatfunction Formulation of Thermal Convection in Rectangular Enclosures Filled with Porous Media

Pages 185-204 | Received 05 Mar 2008, Accepted 17 Oct 2008, Published online: 02 Jan 2009
 

Abstract

Numerical investigations were conducted to study the effects of Rayleigh, Ra, Prandtl, Pr, Darcy, Da, numbers, and the temperature difference ratio, J, on the fluid flow, isotherms, heat transfer, and distributions in a square cavity filled with porous medium. The range of parameters used is 5 × 102 ≤ Ra ≤ 106, 10−3 ≤ Pr ≤ 103, 10−3 ≤ Da ≤ 103, and 0 ≤ J ≤ 2. The flow governing equations including the Brinkman-extended Darcy equations of motion, energy, and heatfunction equations were thereby solved using the finite-difference method. The results show that all the problem governing parameters have strong effect on the convection vigour, isotherms, and heatfunction fields and profiles. An increase in the value of the Darcy number above unity has no more influence on the heatfunction profiles.

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