A Two-Equation Model for Forced Convection Heat Transfer in Porous Medium with The Effect of Heat Generation in the Solid
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Abstract
This study analyses forced convection through a rectangular porous channel subject to uniform wall heat flux with internal heat generation in the solid phase, adopting a local thermal non-equilibrium model. Applying the Brinkman-extended Darcy velocity model, the forced convection problem is solved analytically, in terms of four key parameters, heat source ratio, fluid to solid effective thermal conductivity ratio, equivalent Biot number and porous medium shape factor. The exact solution is compared with one using Darcy velocity model. When the boundary effect is not taken into consideration in porous medium with low permeability, the heat transfer coefficient is overpredicted. Wall effects have also resulted in a higher critical value for the for the occurrence of dissimilarity in the sign of the fluid and solid wall temperature gradient.
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