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Non-Darcy Effects on Steady Three-Dimensional Natural Convection in a Rectangular Box Containing Heat Generating Porous Medium

DOI: 10.1615/ICHMT.2015.IntSympAdvComputHeatTransf.890
pages 1019-1029

Anil Kumar Mishra
Research Scholar, Department of Mechanical Engineering, NIT Jamshedpur, India

S. Kumar
Department of Mechanical Engineering, NIT Jamshedpur, India

Ram Vinoy Sharma
Department of Mechanical Engineering, NIT Jamshedpur, INDIA


The present numerical study reports results of three-dimensional natural convection in a rectangular box filled with fluid saturated heat generating porous medium. Brinkman extended Darcy flow model is considered in this study. The model has been numerically simulated employing Successive Accelerated Replacement scheme for wide range of parameters i.e. 100 ≤ Ra ≤ 1000, 0.00001 ≤ Da ≤ 0.1, 0.1 ≤ Ay ≤ 10 and 0.1 ≤ Az ≤ 10. As Darcy number increases, maximum temperature increases and position of maximum temperature shifts downwards towards center. The effect of varying the Darcy number is more pronounced at higher Rayleigh number and higher aspect ratios.

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