Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet

Document Type: Research Article

Authors

1 Department of Mathematics, Zhejiang University, Hangzhou 310027, CHINA

2 Physics Department, Faculty of Science, Mansoura University, Mansoura, 35516 EGYPT

3 Modern Textile Institute, Donghua University, 1882 Yan’an Xilu Road, Shanghai 200051, CHINA

4 Department of Mathematics, Science Faculty, Ege University, 35100 Bornova Izmir, TURKEY

Abstract

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade´ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Graphical results have been presented and discussed for the pertinent parameters. The results attained in this paper confirm the idea that HPTM is powerful mathematical tool and it can be applied to a large class of linear and nonlinear problems arising in different fields of science and engineering.

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