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

Document Type: Research Note

Author

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Abstract

In this paper, a series solution is obtained for MHD flow of linear visco-elastic fluid over a shrinking/stretching sheet by using homotopy perturbation method (HPM). The governing Navier-Stokes equations of the flow are transformed to an ordinary differential equation by a suitable similarity transformation and stream function. The influence of various parameters such as Hartman number and Deborah number on the velocity field is analyzed by appropriate graphs. Finally, the validity of results is verified by comparing with numerical results. Results are presented graphically and in tabulated forms to study the efficiency and accuracy of the homotopy perturbation method.

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