Effect of Hall Current on the MHD Natural Convection Flow From a Vertical Permeable Flat Plate With Uniform Surface Heat Flux

L. K. Saha; S. Siddiqa; M. A. Hossain

doi:10.3879/j.issn.1000-0887.2011.09.005

Volume 32 Issue 9

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L. K. Saha, S. Siddiqa, M. A. Hossain. Effect of Hall Current on the MHD Natural Convection Flow From a Vertical Permeable Flat Plate With Uniform Surface Heat Flux[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1054-1070. doi: 10.3879/j.issn.1000-0887.2011.09.005

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Effect of Hall Current on the MHD Natural Convection Flow From a Vertical Permeable Flat Plate With Uniform Surface Heat Flux

doi: 10.3879/j.issn.1000-0887.2011.09.005

Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh;
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad 44000, Pakistan

Received Date: 2010-09-17
Rev Recd Date: 2011-05-30
Publish Date: 2011-09-15

Abstract

Abstract

The effect of Hall current on the MHD natural convection flow from a vertical permeable flat plate with uniform heat flux in the presence of transverse magnetic field was analyzed.It was assumed that the induced magnetic field was negligible compared to the imposed magnetic field.The boundary layer equations were reduced to the suitable form by employing free variable formulation (FVF) and stream function formulation (SFF).The parabolic equations obtained from FVF were integrated numerically with the help of straightforward finite difference method while on the other hand nonsimilar system of equations obtained from SFF were solved by employing local non-similarity method,for the whole range of local transpiration parameter ζ.Consideration had also been given to the regions where local transpiration parameter ζ was small or large enough.However,in these particular regions,solutions were acquired with the aid of regular perturbation method.Effects of the magnetic field M,and the Hall parameter m on the local skin friction coefficient and local Nusselt number coefficient were shown graphically for smaller values of the Prandtl number Pr(=0.005,0.01,0.05).Further,velocity and temperature profiles were also drawn from various values of local transpiration parameter.
- MHD natural convection,
- Hall current,
- permeable plate,
- heat flux

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References(18)

References

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