Abstract
In this paper the steady laminar magneto hydrodynamic (MHD) mixed convection boundary layer flow towards a vertical stretching sheet with variable fluid viscosity, radiation and in the presence of Dufour’s effect have been investigated. The governing partial differential equations are transformed into set of ordinary differential equations using similarity transformation, and then these equations have been solved numerically using Runge- Kutta method with shooting technique. Results shows that magnitude of skin friction coefficient decreases, while magnitude of heat transfer coefficient and mass transfer coefficient increases with decreasing values of viscosity variation parameter for the case of opposing flow. But in the case of assisting flow magnitude of skin friction coefficient, heat transfer coefficient and mass transfer coefficient decreases with decreasing values of viscosity parameter. Also magnitude of skin friction coefficient and heat transfer coefficient decreases with increasing values of Dufour number for both assisting and opposing flow, and there is a slight change in magnitude of mass transfer coefficient with Dufour number. Magnitude of velocity increases with increasing values of Dufour number for both assisting and opposing flow.
Highlights
Heat and mass transfer mixed convection boundary layer flow along a continuously stretching sheet has attracted considerable attention in the last several decades, due to its application in extrusion process, wire and fiber coating, polymer processing, foodstuff processing, design of various heat exchangers and chemical processing equipment etc.Mahapatra and Gupta presented the heat transfer stagnation point flow towards a stretching sheet in 2002
Aim of this paper is to study the effect of heat and mass transfer in mixed convection boundary layer flow along a stretching sheet in the presence of magnetic field, Dufour effect and Radiation effect with variable fluid viscosity
It is evident in the figure 2 and 3 that velocity increases with increase in the value of Dufour number and viscosity variation parameter, attains a maximum value it starts decreasing till the value becomes constant (=1) for η 3 for both cases of opposing and assisting flow
Summary
Heat and mass transfer mixed convection boundary layer flow along a continuously stretching sheet has attracted considerable attention in the last several decades, due to its application in extrusion process, wire and fiber coating, polymer processing, foodstuff processing, design of various heat exchangers and chemical processing equipment etc. Ishak presented the mixed convection boundary layer flow near the two dimensional stagnation point flow of an incompressible fluid over a stretching sheet in 2006. In 2009 Pal D. studied effect of thermal radiation on heat and mass transfer stagnation point flow towards a stretching sheet. Effects of variable properties on MHD heat and mass transfer flow near a stagnation point towards a stretching sheet in a porous medium with thermal radiation was studied by Salema & Fathy in 2012. Aim of this paper is to study the effect of heat and mass transfer in mixed convection boundary layer flow along a stretching sheet in the presence of magnetic field, Dufour effect and Radiation effect with variable fluid viscosity. The governing fluid flow equations are transformed into non dimensional form using similarity transformation and solved by using Runge- Kutta method with shooting technique
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