Engineering Physics and Mathematics
MHD boundary layer slip flow along a stretching cylinder

https://doi.org/10.1016/j.asej.2012.07.003Get rights and content
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Abstract

The aim of this paper is to present an analysis for the axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder under the influence of a uniform magnetic field. Instead of no-slip conditions at the boundary, partial slip is considered. The partial differential equations corresponding to the momentum and heat equations are converted into highly non-linear ordinary differential equations with the help of similarity transformations. Analytical solutions for some special cases are obtained. Numerical solutions of these equations are obtained by shooting method. It is found that the velocity decreases with increasing velocity slip parameter and magnetic parameter. The skin friction as well as the heat transfer rate at the surface is larger for a cylinder compared to a flat plate.

Keywords

Boundary layer
Stretching cylinder
Partial slip
MHD

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S. Mukhopadhyay was born and brought up in Burdwan, West Bengal. She obtained the B.Sc. Honours and M.Sc. degrees in Mathematics from the University of Burdwan. She joined as a regular research scholar in the Department of Mathematics, the University of Burdwan in 2002 and was awarded her Ph.D. degree in Fluid Mechanics from the same University in 2007. She carried out her post-doctoral research work in NTNU, Trondheim, Norway. She joined as an Assistant Professor in Mathematics in M.U.C. Women’s College, Burdwan in 2006. She is working as an Assistant Professor in the Department of Mathematics, the University of Burdwan, West Bengal since 2010. Her research interest covers the areas of the application of flow separation, particularly, in bio-fluid dynamics and analysis of boundary layer flows of Newtonian/non-Newtonian fluids including the heat and mass transfer in porous/non-porous media. Her research interest also covers the Nano fluid flow problems.

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