Engineering Physics and Mathematics
Velocity slip effects on heat and mass fluxes of MHD viscous–Ohmic dissipative flow over a stretching sheet with thermal radiation

https://doi.org/10.1016/j.asej.2015.05.010Get rights and content
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Abstract

In the present article, we discussed the velocity slip effects on the heat and mass fluxes of a viscous electrically conducting fluid flow over a stretching sheet in the presence of viscous dissipation, Ohmic dissipation and thermal radiation. A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations. The numerical and analytical solutions are presented for the governing non-dimensional ODEs using shooting method and hypergeometric function respectively. The results are discussed for skin friction coefficient, concentration field, non-dimensional wall temperature and non-dimensional wall concentration. The non-dimensional wall concentration increases with slip and magnetic parameters and decreases with Schmidt number. Furthermore, comparisons are found to be good with bench mark solutions.

Keywords

Heat and mass fluxes
MHD
Ohmic dissipation
Thermal radiation
Velocity slip
Viscous dissipation

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M. Kayalvizhi obtained M.Sc., M.Phil., and Ph.D degrees in Mathematics from Bharathiar University, Coimbatore. She is currently working as an Assistant Professor, Department of Mathematics, Sathyabama University, Chennai, Tamil Nadu. Besides teaching she is actively engaged in research in the field of Fluid dynamics particularly in MHD boundary layer flows and radiative heat transfer.

R. Kalaivanan is a research scholar in Department of Mathematics in Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu, India. He is currently doing Ph.D under the guidance of Dr. A.K. Abdul Hakeem.

N. Vishnu Ganesh is a research scholar in Department of Mathematics in Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamil Nadu, India. He is currently doing Ph.D with F1-17.1/2012-13/RGNF-2012-13-SC-TAM-16936 UGC grant India under the guidance of Dr. A.K. Abdul Hakeem.

B. Ganga was born and brought up in the district of the Nilgiris, Tamil Nadu, India. She obtained M.Phil and Ph.D degrees in Mathematics from Bharathiar University, Coimbatore. She is currently working as an Assistant Professor in Department of Mathematics, Providence college for women, Coonoor, Affiliated to Bharathiar University since 2007. Besides teaching she is actively engaged in research in the field of Fluid Mechanics particularly in boundary layer flows, Nanofluid, Flow through Porous media and Slip flow model.

A.K. Abdul Hakeem was born and brought up in the district of Coimbatore, Tamil Nadu, India. He obtained the M.Sc. and M.Phil degrees in Mathematics from Bharathiar University, Coimbatore. He was awarded Ph.D. degree in Fluid Dynamics by the Bharathiar University in 2008.He is serving the Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore Affiliated to Bharathiar University, as an Assistant Professor since 2008. Besides teaching he is actively engaged in research in the field of Fluid Mechanics particularly in Heat transfer in cavities, boundary layer flows, Nanofluid Flow through Porous media and Slip flow model.

Peer review under responsibility of Ain Shams University.

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