Purpose – The purpose of this paper is to introduce a new version of the homotopy perturbation method (HPM) for solving the magnetohydrodynamic viscous flow due to a shrinking sheet. Design/methodology/approach – Three terms from HPM solution are used. Findings – The results show that this method is very effective and simple and can be applied to other nonlinear problems. Research limitations/implications – Comparison between the HPM and homotopy analysis methods for the studied problem shows a remarkable agreement and reveals that the HPM needs less work. Practical implications – It is suggested that this method should be called HPM with auxiliary parameters. This paper uses two auxiliary parameters, three or more auxiliary parameters could be used for accuracy consideration. Originality/value – In this paper, a two‐parameter HPM is applied which is useful for finding an approximate analytical solution of MHD viscous flow due to a shrinking sheet.
Engineering Computations – Emerald Publishing
Published: Jul 19, 2011
Keywords: Viscosity measurement; Magnetohydrodynamics
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