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A new numerical approach for MHD laminar boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation

Stanford Shateyi1* and Jagdish Prakash2

Author Affiliations

1 Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou, 0950, South Africa

2 Department of Mathematics, University of Botswana, Private Bag UB 0022, Gaborone, Botswana

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Boundary Value Problems 2014, 2014:2  doi:10.1186/1687-2770-2014-2

Published: 2 January 2014

Abstract

Numerical analysis has been carried out on the problem of magnetohydrodynamic boundary layer flow of a nanofluid over a moving surface in the presence of thermal radiation. The governing partial differential equations were transformed into a system of ordinary differential equations using suitable similarity transformations. The resultant ordinary equations were then solved using the spectral relaxation method. Effects of the physical parameters on the velocity, temperature and concentration profiles as well as the local skin-friction coefficient and the heat and mass transfer rates are depicted graphically and/or in tabular form.

MSC: 65PXX, 76-XX.

Keywords:
MHD boundary layer flow; nanofluids; thermal radiation; moving surface