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Research Article Open access CC BY 4.0

Variable Viscosity and Thermal Conductivity Effect of Soret and Dufour on Inclined Magnetic Field in Non-Darcy Permeable Medium with Dissipation

R. A. Kareem, S. O. Salawu

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 29 May 2017

10.9734/BJMCS/2017/33669

Abstract

The analysis of thermal-diffusion (Soret) and diffusion-thermo (Dufour) effects on variable thermal conductivity and viscosity in a dissipative heat and mass transfer of an inclined magnetic field in a permeable medium past a continuously stretching surface for power-law difference in the concentration and temperature are examined. The flow is incompressible with the thermal conductivity and fluid viscosity are assumed to be temperature dependent. The local similarity variables for various values of the parameters are considered for the momentum, heat and mass equations. The dimensionless equations are solved numerically using fourth order Runge-Kutta scheme coupled with shooting method. It was noticed that an increase in the values of  enhances the temperature profiles as heat moves from the plate surface to the ambient medium when , otherwise it flows away from the medium to the stretching sheet. Finally, the influences of Skin friction, Nusselt and Sherwood numbers are also presented and discussed.

Variable viscosity Soret non-Darcy flow thermal conductivity Dufour

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