Ain Shams Engineering Journal

Ain Shams Engineering Journal

Volume 8, Issue 3, September 2017, Pages 353-361
Ain Shams Engineering Journal

Engineering Physics and Mathematics
Dissipation effect on MHD mixed convection flow over a stretching sheet through porous medium with non-uniform heat source/sink

https://doi.org/10.1016/j.asej.2015.08.017Get rights and content
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Abstract

Dissipative effect on magnetohydrodynamic (MHD) mixed convective unsteady flow of an electrically conducting fluid over a stretching sheet embedded in a porous medium subject to transverse magnetic field in the presence of non-uniform heat source/sink has been investigated in this paper. The method of solution involves similarity transformation. The coupled nonlinear partial differential equations governing flow, heat and mass transfer phenomena are reduced into set of nonlinear ordinary differential equations. The transformed equations are solved numerically by using Runge–Kutta fourth order method associated with shooting technique. The numerical computation of skin friction, Nusselt number and Sherwood number is presented in tables. The work of previous authors is compared with the present work as particular cases in the absence of unsteady parameter, solutal buoyancy, Darcy dissipation and chemical reaction. The results of steady and unsteady cases are also discussed. The important findings are as follows: effect of electric field enhances the skin friction contributing to flow instability. Higher Prandtl number is suitable for the reduction of coefficient of skin friction which is desirable.

Keywords

Non-uniform heat source
Non-Darcy flow
Stretching sheet
Runge–Kutta method
Mass transfer

Cited by (0)

D. Bhukta, Research Scholar, Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri, Bhubaneswar-751030, Orissa, India.

G.C. Dash, Professor, Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri, Bhubaneswar-751030, Orissa, India.

S.R. Mishra, Assistant Professor, Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Khandagiri, Bhubaneswar-751030, Orissa, India.

S. Baag, Assistant Professor, Department of Physics, OUAT, Bhubaneswar, India.

Peer review under responsibility of Ain Shams University.

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