Abstract

The problem of combined free and forced (mixed) convection about inclined surfaces (or wedges) in a saturated porous medium is analyzed on the basis of boundary-layer approximations. Similarity solutions are obtained for the special case where the free stream velocity and wall temperature distribution of the inclined surface vary according to the same power function of distance. Both aiding and opposing flows are considered. It is found that the parameter governing mixed convection from inclined surfaces in porous media is Gr/Re. Numerical solutions are obtained for mixed convection from an isothermal vertical flat plate as well as an inclined plate with constant heat flux, having an inclined angle of 45°. Temperature and velocity profiles for these two cases at different values of Gr/Re are presented. For aiding flows the heat-transfer rate is shown to be asymptotically approaching the forced or free convection values as the value of Gr/Re approaches the limits of zero and infinity. The criteria for pure and mixed convection from inclined surfaces in porous media are established.

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