Title: MHD flow and heat transfer over a stretching porous sheet subject to power law heat flux in the presence of chemical reaction and viscous dissipation

Authors: Rabi Narayan Barik; Gouranga Charan Dash; Pravat Kumar Rath

Addresses: Department of Mathematics, Trident Academy of Technology, In front of Infocity, Bhubaneswar-751024, Odisha, India ' Department of Mathematics, S.O.A. University, Bhubaneswar-751030, Odisha, India ' Department of Mathematics, B.R.M. International Institute of Technology, Bhubaneswar-10, Odisha, India

Abstract: A boundary layer steady MHD flow has been carried out to study the heat and mass transfer effect of a viscous incompressible fluid over a stretching porous sheet in the presence of heat source and viscous dissipation. The equations of motion, heat transfer and species concentration are reduced to non-linear ordinary differential equations and the exact solutions are obtained in the form of confluent hypergeometric function (Kummer's function). The effect of the various parameters entering into the problem Prandtl number Pr, Eckert number Ec, Schmidt number Sc, magnetic parameter M², permeability parameter Kp, injection parameter λ, stretching parameter S on the velocity distribution, temperature distribution, species concentration are discussed.

Keywords: MHD flow; magnetohydrodynamics; heat transfer; mass transfer; porous medium; stretching sheet; Kummer's function; viscous dissipation; porous sheet; power law heat flux; chemical reaction.

DOI: 10.1504/IJCSM.2013.057248

International Journal of Computing Science and Mathematics, 2013 Vol.4 No.3, pp.252 - 265

Received: 13 Sep 2012
Accepted: 16 Apr 2013

Published online: 10 May 2014 *

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