Magnetohydrodynamic flow of linear visco-elastic fluid model above a shrinking/stretching sheet: A series solution

Abstract

KEYWORDSAbstract. In this paper, a series solution is obtained for MHD ow of linear viscoelastic uid over a shrinking/stretching sheet by using Homotopy Perturbation Method (HPM). The governing Navier-Stokes equations of the ow are transformed to an ordinary di erential equation by a suitable similarity transformation and stream function. The in uence of various parameters such as Hartman number and Deborah number on the velocity eld is analyzed by appropriate graphs. Finally, the validity of results is veri ed by comparing them with numerical results. Results are presented graphically and in tabulated forms to study the e ciency and accuracy of the homotopy perturbation method.

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