Abstract

Free convection in a porous shallow cavity with differentially heated end walls has been studied. The governing differential equations are analytically solved by applying the method of asymptotic expansions. The results show that the constant-property solution (Boussinesq approximation) deviates approximately 3% from the variable-property solution, if the properties in the Boussinesq solution are taken as the arithmetic mean between the hot and cold end wall temperature.

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