Abstract
The method of matched asymptotic expansions, together with a deformed longitudinal coordinate, is applied to study the leading edge effect on free convection about a semi-infinite, uniform heat flux, vertical surface embedded in a porous medium. The leading edge effect manifests itself as inhomogeneous terms in the second- and third-order problems. Similarity solutions for the free convection porousmedia flow are obtained up to the third-order approximation. It is shown that the leading edge effect increases the streamwise vertical velocity near the outer edge of the thermal boundary layer, resulting in a corresponding increase in heat flux. The leading edge and the entrainment effects are shown to increase the heat transfer rate almost equally. At Ra x = 100, the combined effects enhance the heat transfer rate by more than 10% as compared with those based on the boundary layer approximation. These effects increase as the Rayleigh number is decreased.
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