Hydromagnetic flow through uniform channel bounded by porous media

doi:10.1007/s10483-011-1463-7

Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (7): 837-846.doi: https://doi.org/10.1007/s10483-011-1463-7

Hydromagnetic flow through uniform channel bounded by porous media

K. RAMAKRISHNAN¹, K. SHAILENDHRA²

1. Department of Mathematics, Sri Krishna College of Engineering and Technology, Sugunapuram, Kuniamuthur, Coimbatore 641008, Tamilnadu, India;
2. Department of Mathematics, Amirta School of Engineering, Amirta Vishwa Vidyapeetham, Coimbatore 641105, Tamilnadu, India

收稿日期:2010-08-24 修回日期:2011-04-15 出版日期:2011-07-03 发布日期:2011-07-03

Hydromagnetic flow through uniform channel bounded by porous media

K. RAMAKRISHNAN¹, K. SHAILENDHRA²

1. Department of Mathematics, Sri Krishna College of Engineering and Technology, Sugunapuram, Kuniamuthur, Coimbatore 641008, Tamilnadu, India;
2. Department of Mathematics, Amirta School of Engineering, Amirta Vishwa Vidyapeetham, Coimbatore 641105, Tamilnadu, India

Received:2010-08-24 Revised:2011-04-15 Online:2011-07-03 Published:2011-07-03

摘要/Abstract

摘要： The combined effects of the magnetic field, permeable walls, Darcy velocity, and slip parameter on the steady flow of a fluid in a channel of uniform width are studied. The fluid flowing in the channel is assumed to be homogeneous, incompressible, and Newtonian. Analytical solutions are constructed for the governing equations using Beavers-Joseph slip boundary conditions. Effects of the magnetic field, permeability, Darcy velocity, and slip parameter on the axial velocity, slip velocity, and shear stress are discussed in detail. It is shown that the Hartmann number, Darcy velocity, porous parameter, and slip parameter play a vital role in altering the flow and in turn the shear stress.

Abstract: The combined effects of the magnetic field, permeable walls, Darcy velocity, and slip parameter on the steady flow of a fluid in a channel of uniform width are studied. The fluid flowing in the channel is assumed to be homogeneous, incompressible, and Newtonian. Analytical solutions are constructed for the governing equations using Beavers-Joseph slip boundary conditions. Effects of the magnetic field, permeability, Darcy velocity, and slip parameter on the axial velocity, slip velocity, and shear stress are discussed in detail. It is shown that the Hartmann number, Darcy velocity, porous parameter, and slip parameter play a vital role in altering the flow and in turn the shear stress.

中图分类号:

76W05
76S05

K. RAMAKRISHNAN;K. SHAILENDHRA. Hydromagnetic flow through uniform channel bounded by porous media[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 837-846.

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Hydromagnetic flow through uniform channel bounded by porous media

Hydromagnetic flow through uniform channel bounded by porous media

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