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.