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

A. Majidian¹, M. Fakour^1, and A. Vahabzadeh¹

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

Cite this paper:
A. Majidian, M. Fakour and 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

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.

Keywords:
homotopy perturbation method (HPM) laminar viscous flow Semi-porous channel uniform magnetic field

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