A NOVEL HOMOTOPY PERTURBATION METHOD: KOUROSH´S METHOD FOR A THERMAL BOUNDARY LAYER IN A SATURATED POROUS MEDIUM

Abstract

this paper a novel homotopy perturbation method has been presented for forced convection boundary layer problems in a porous medium. Noting the infinite condition, a homotopy form which is similar to the singular perturbation form has been considered. The inner and outer solutions have been achieved and the coincidence of the results has been investigated with a proper matching method. The results have been compared with the results of other researchers in the field of mixed convection boundary layer problem in porous media. The comparison shows that this method can be used properly for analyzing of similar problems.