A NUMERICAL MODEL FOR NATURAL CONVECTION IN FLUID-SATURATED CREEPING POROUS MEDIA

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Abstract
Heat transfer by natural convection in a saturated cohesive porous medium may arise from the motion of the deformable matrix and the diffusion of the pore fluid through the matrix, A numerical model for the motion and heat transfer in a deformable porous medium as derived from a multiphase mixture theory has been used to analyze the convective transport in a rectangular cavity that is subjected to an end-to-end temperature difference. Temperature distributions and velocity fields for the limiting cases of an impermeable viscous and a permeable rigid matrix compare well to independent numerical solutions. New results are presented for other cases in which both motion of the matrix and relative motion of the pore fluid contribute significantly to the convection heat flux.