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Hydromagnetic flow through uniform channel bounded by porous media

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  • 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 date: 2010-08-24

  Revised date: 2011-04-15

  Online published: 2011-07-03

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.

Cite this article

K. RAMAKRISHNAN;K. SHAILENDHRA . Hydromagnetic flow through uniform channel bounded by porous media[J]. Applied Mathematics and Mechanics, 2011 , 32(7) : 837 -846 . DOI: 10.1007/s10483-011-1463-7

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