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M. Fakour, D.D. Ganji, A. Vahabzadeh, S.H.H. Kachapi, Accuracy of VIM, HPM and ADM in Solving Nonlinear Equations for the Steady Three-Dimensional Flow of a Walter’s B Fluid in Vertical Channel, Walailak Journal of Science and Technology, 11 (2014), 7, 593-609.

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Article

Analytical investigation of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of a Uniform Magnetic Field

1Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 4, 79-85
DOI: 10.12691/ijpdea-2-4-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
A. Majidian, M. Fakour, A. Vahabzadeh. Analytical investigation of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of a Uniform Magnetic Field. International Journal of Partial Differential Equations and Applications. 2014; 2(4):79-85. doi: 10.12691/ijpdea-2-4-4.

Correspondence to: M.  Fakour, Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran. Email: mehdi_fakour@yahoo.com, mehdi_fakoor8@yahoo.com

Abstract

In this paper, the laminar fluid flow in a semi-porous channel in the presence of transverse magnetic field is investigated. The homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. It has been attempted to exhibit the reliability and performance of the homotopy perturbation method (HPM) in comparison with the numerical method (Richardson extrapolation) in solving this problem. The influence of the two dimensionless numbers: the Hartmann number and Reynolds number on non-dimensional velocity profile are considered. The results indicate that velocity boundary layer thickness decrease with increase of Reynolds number and it increases as Hartmann number increases.

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