TED-AJ03-151 A THREE-DIMENSIONAL SUBSCALE MODEL FOR HEAT AND FLOW THROUGH A HIGHLY ANISOTROPIC POROUS MEDIUM

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An extensive numerical experiment at a pore scale using a full set of Navier-Stokes and energy equations has been conducted to simulate three-dimensional laminar fluid flow and heat transfer through an anisotropic porous medium. A collection of rectangular rods placed in an infinite three-dimensional space has been proposed as a numerical model of microscopic three-dimensional structure of highly anisotropic porous medium. The degree of anisotropy has been varied by changing the transverse center-to-center distance with the longitudinal center-to-center distance being fixed. Extensive numerical calculations were carried out for various sets of the porosity, degree of anisotropy, Reynolds number and macroscopic flow direction in a three-dimensional space. The numerical results thus obtained were integrated over a space to determine the permeability tensor, Forchheimer tensor and directional interfacial heat transfer coefficient. It has been found that the principal axes of the permeability tensor (which controls the viscous drag in the low Reynolds number range) differ significantly from those of the Forchheimer tensor (which controls the form drag in the high Reynolds number range), The study also reveals that the variation of the directional interfacial heat transfer coefficient with respect to the macroscopic flow angle is analogous to that of the directional permeability. Simple subscale model equations for the permeability tensor, Forchheimer tensor and directional Nusselt number have been proposed for possible applications of VAT to investigate flow and heat transfer within complex heat and fluid flow equipment consisting of small scale elements.
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TED-AJ03-151 A THREE-DIMENSIONAL SUBSCALE MODEL FOR HEAT AND FLOW THROUGH A HIGHLY ANISOTROPIC POROUS MEDIUM

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