Soret and Dufour Effects on Magneto-hydrodynamics Newtonian Fluid Flow beyond a Stretching/Shrinking Sheet

Abstract

The boundary layer flow and heat transfer of an incompressible fluid beyond a stretching/shrinking sheet has numerous industrial applications, such as wire and plastic films drawing, paper and glass fiber production and hot rolling. The product of these industrial applications depend on the heat transfer rate at the stretching/shrinking sheet. Therefore, the numerical reports of magneto hydrodynamics Newtonian fluid flow, which is induced by a stretching/shrinking sheet is developed. This model is subjected to the impact of mass and heat transfer, known as Soret and Dufour parameters, respectively. The velocity, temperature and concentration of the Newtonian fluid are assumed to have exponential function forms. The governing equations are in the form of partial differential equations (PDE), and contain the features of momentum, energy and concentrations. Subsequently, nonsimilarity transformation is applied on the governing basic equations. As a result, these PDE will converted to the ordinary differential equations (ODE). These ODE are then solved numerically using the shooting method. The numerical results of skin friction coefficient, local Nusselt number and local Sherwood number are obtained for several sets of values of the parameters. In addition, the profiles of velocity, temperature and concentration are presented due to the effect of controlling parameters: Soret and Dufour parameters. The characteristics of the flow, heat and mass transfer on the Newtonian fluid are described in detail in this study. As a result, it is found that velocity, concentration and skin friction coefficient increase with the increasing Soret and Dufour parameters.