Abstract

The free convection on a horizontal plate embedded in a saturated porous medium is considered assuming that the plate is subjected to a prescribed temperature or a prescribed heat flux or a prescribed heat transfer coefficient. By similarity transformation the governing equations are reduced to identical coupled equations for all the three cases with three common boundary conditions and one boundary condition depending on the thermal boundary condition imposed. It is shown that there is no need to solve the three boundary value problems independently and that the solution for one case can be used to obtain the solution for any other case by a simple algebraic method.

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