Abstract
Free convection from a horizontal line heat source in a non-Newtonian fluid-saturated porous medium has been investigated analytically, exploiting the boundary-layer approximation. The boundary-layer equations based on the power-law model appropriate for the Darcy flows are shown to possess a class of similarity for arbitrary values of the power-law index. Closed-form exact solutions for both flow and temperature fields are presented along with the approximate solutions based on the integral energy equation, and examined to investigate the non-Newtonian flow and heat transfer characteristics.
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