An Application of He's Homotopy Perturbation Method in Fluid Mechanics

摘要

In 1998, Raptis and Massalas [Heat Mass Transfer 34, 107-109] studied the magnetohydrodynamic flow past a heated plate in the presence of radiation. In their study the authors presented incomplete and very restricted results which are valid only for small values of M < 1 (the magnetic parameter) and Pm=1 (the magnetic Reynolds number). Further, in [1] the authors considered unsteady flow but reported steady solution only. In this paper we present the complete unsteady analytic solution to the same problem which is valid for all values of the magnetic parameter M and the magnetic Reynolds number Pm. A newly developed analytic technique, namely, homotopy perturbation method (HPM) is used to get complete, efficient and highly accurate analytic solution. The effects of involved different parameters on velocity, magnetic, and the temperature profiles are discussed through graphs. Also, the present paper contains an important and useful application of HPM to system of linear equations.