2015Proceeding of Proceedings of CHT-15. 6th International Symposium on ADVANCES IN COMPUTATIONAL HEAT TRANSFER , May 25-29, 2015, Rutgers University, New Brunswick, NJ, USARequires access

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

A.K. Mishra, Shalendra Kumar, Ram Vinoy Sharma

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Abstract

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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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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Available abstract

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.

Key concepts: Darcy number, Natural convection, Porous medium, Darcy's law, Rayleigh number, Mechanics, Materials science, Convection

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