Momentum and Thermal Slip Conditions of an MHD Double Diffusive Free Convective Boundary Layer Flow of a Nanofluid with Radiation and Heat Source/ Sink Effects

Eshetu Haile Gorfie; Bandari Shankar

Eshetu Haile Gorfie PhD in Mathematics, Department of Mathematics, Osmania University, Hyderabad, India
Bandari Shankar Department of Mathematics, Osmania University, Hyderabad 500 007, India

Keywords: Momentum Slip, Thermal Slip, Brownian Diffusion, Thermophoresis, Thermal Radiation, Magnetic Field, Heat Source/Sink, Vertical Flow.

Abstract

In this paper, momentum and thermal slip conditions of an MHD double diffusive free convectiveboundary layer flow of a nanofluid with radiation and heat source/sink effects past a vertical semi-infiniteflat plate are presented. The sheet is situated in a free stream in the xz-plane and y is measured normal to the surface directing to the positive y-axis. A variable transverse magnetic field is applied parallel tothe y-axis. Effects of magnetic field, heat source/sink and thermal radiation have been studied on theflow quantities in addition to others effects as mentioned in the literature. The governing boundary layerequations of the problem are formulated and then transformed into dimensionless equations. Theresulting equations are solved numerically by the fourth order Runge-Kutta integration scheme inconjunction with the shooting method. Finally, effects of the pertinent parameters on velocity,temperature, solute concentration, nanoparticle volume fraction, skin friction coefficient, Nusselt number,regular mass transfer rate and nanoparticle mass transfer rate are briefly mentioned and justifiedgraphically and in tabular form. The results are in nice agreement with that of the papers underconsiderations as mentioned in the literature.

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