4.2 Article

ANALYTICAL SOLUTION OF MHD STAGNATION-POINT FLOW IN POROUS MEDIA BY MEANS OF THE HOMOTOPY PERTURBATION METHOD

Journal

JOURNAL OF POROUS MEDIA
Volume 15, Issue 1, Pages 83-94

Publisher

BEGELL HOUSE INC
DOI: 10.1615/JPorMedia.v15.i1.70

Keywords

homotopy perturbation method; heat transfer; boundary layer; magnetohydrodynamic; stagnation flow; porous media

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In this study, the steady two-dimensional laminar forced magnetohydrodynamic Hiemenz flow against a flat plate with variable wall temperature in a porous medium is solved analytically by using the homotopy perturbation method (HPM). The nonlinear boundary layer equations were transformed, and the resulting ordinary differential equations were solved by HPM. The skin friction coefficient and the rate of heat transfer given by the HPM are in good agreement with the numerical solutions of the Keller box method.

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