Abstract
The problem of combined forced and free convection heat transfer in power-law fluid-saturated porous media has been solved using the boundary layer approximations. A modified Peclet number based on the slip velocity at the wall has been introduced in order to uniquely transform the governing equations for all convection regimes, namely, the pure forced convection regime, mixed convection regime and pure free convection regime. Possible similarity solutions are presented for vertical flat plates, cones, horizontal cylinders and spheres. It is found that the velocity close to the wall is comparatively higher for pseudoplastic fluids than for the Newtonian and dilatant fluids at the same external velocity, thus leading to a substantial heat transfer enhancement in the mixed convection regime.
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