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Reliable treatment of a new analytical method for solving MHD boundary-layer equations

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Abstract

The purpose of this study is to implement a new analytical method which is a combination of the homotopy analysis method (HAM) and the Padé approximant for solving magnetohydrodynamic boundary-layer flow. The solution is compared with the numerical solution. Comparisons between the HAM–Padé and the numerical solution reveal that the new technique is a promising tool for solving MHD boundary-layer equations. The effects of the various parameters on the velocity and temperature profiles are presented graphically form. Favorable comparisons with previously published works (Crane, J. Appl. Math. Phys. 21:645–647, 1970, and Vajravelu and Hadjinicolaou, Int. J. Eng. Sci. 35:1237–1244, 1997) are obtained. It is predicted that HAM–Padé can have wide application in engineering problems (especially for boundary-layer and natural convection problems).

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Authors and Affiliations

  1. Engineering Faculty, Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, Iran

    Hamed Shahmohamadi

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  1. Hamed Shahmohamadi
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Correspondence to Hamed Shahmohamadi.

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Shahmohamadi, H. Reliable treatment of a new analytical method for solving MHD boundary-layer equations. Meccanica 46, 921–933 (2011). https://doi.org/10.1007/s11012-010-9350-8

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  • DOI: https://doi.org/10.1007/s11012-010-9350-8

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