MHD free convective flow past semi-infinite vertical permeable wall

doi:10.1007/s10483-012-1616-7

摘要/Abstract

摘要： In this paper, the basic equations governing the flow and heat transfer of an incompressible viscous and electrically conducting fluid past a semi-infinite vertical per-meable plate in the form of partial differential equations are reduced to a set of non-linear ordinary differential equations by applying a suitable similarity transformation. Approx-imate solutions of the transformed equations are obtained by employing the perturbation method for two cases, i.e., small and large values of the suction parameter. From the numerical evaluations of the solution, it can be seen that the velocity field at any point decreases as the values of the magnetic and suction parameters increase. The effect of the magnetic parameter is to increase the thermal boundary layer. It is also found that the velocity and temperature fields decrease with the increase in the sink parameter.

关键词: magnetohydrodynamics (MHD), suction, source/sink, Prandtl number, permeability, boundary layer, non-local theory, Schmidt’s method, dual-integral equation

Abstract: In this paper, the basic equations governing the flow and heat transfer of an incompressible viscous and electrically conducting fluid past a semi-infinite vertical per-meable plate in the form of partial differential equations are reduced to a set of non-linear ordinary differential equations by applying a suitable similarity transformation. Approx-imate solutions of the transformed equations are obtained by employing the perturbation method for two cases, i.e., small and large values of the suction parameter. From the numerical evaluations of the solution, it can be seen that the velocity field at any point decreases as the values of the magnetic and suction parameters increase. The effect of the magnetic parameter is to increase the thermal boundary layer. It is also found that the velocity and temperature fields decrease with the increase in the sink parameter.

Key words: magnetohydrodynamics (MHD), suction, source/sink, Prandtl number, permeability, boundary layer, non-local theory, Schmidt’s method, dual-integral equation

中图分类号:

O361.3

R. K. SINGH;A. K. SINGH. MHD free convective flow past semi-infinite vertical permeable wall[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(9): 1207-1222.

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