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


YILDIRIM A. , SEZER S. A.

JOURNAL OF POROUS MEDIA, vol.15, no.1, pp.83-94, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1615/jpormedia.v15.i1.70
  • Title of Journal : JOURNAL OF POROUS MEDIA
  • Page Numbers: pp.83-94
  • Keywords: homotopy perturbation method, heat transfer, boundary layer, magnetohydrodynamic, stagnation flow, porous media, ASYMPTOTIC METHODS, STRETCHING SHEET, HIEMENZ FLOW

Abstract

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.