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NUMERICAL SIMULATION OF MHD STAGNATION POINT FLOW TOWARDS A HEATED AXISYMMETRIC SURFACE

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  05 December 2011

MUHAMMAD ASHRAF  and
M. ANWAR KAMAL
MUHAMMAD ASHRAF*
Affiliation:
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan (email: mashraf_mul@yahoo.com)
M. ANWAR KAMAL
Affiliation:
Department of Mathematics, Al Kharj University, Al Kharj, Saudi Arabia
*
✉For correspondence; e-mail: mashraf_mul@yahoo.com
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Abstract

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The problem of stagnation point flow with heat transfer of an electrically conducting fluid impinging normally on a permeable axisymmetric surface in the presence of a uniform transverse magnetic field is analysed. The governing nonlinear differential equations and their associated boundary conditions are reduced to dimensionless form using suitable similarity transformations. Comparison with previously published work shows good agreement. Effects of the injection–suction parameter, magnetic parameter and Prandtl number on the flow and thermal fields are presented. The investigations show that the wall shear stress and heat transfer rate from the surface increase with increased applied magnetic field. An increase in the velocity and thermal boundary layer thicknesses is observed with an increase in the wall injection, while the velocity and thermal boundary layers become thinner when increasing the wall suction and applied magnetic field.

Keywords

magnetohydrodynamics (MHD); axisymmetric stagnation flow; heat transfer; boundary layerfinite differences

MSC classification

Secondary: 76D05: Navier-Stokes equations 76D99: None of the above, but in this section
Type
Research Article
Information
The ANZIAM Journal , Volume 52 , Issue 3 , January 2011 , pp. 301 - 308
Copyright
Copyright © Australian Mathematical Society 2011

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