Soret and Dufour effects on thermophoretic MHD flow and heat transfer over a non-linear stretching sheet with chemical reaction (Q1700491)

The authors study an MHD boundary value problem in a half-space. The fluid is incompressible, the stationary flow is along the heated convective stretching sheet with non-uniform heat source, in the presence of a magnetic field. Concentration of particles, chemical reactions, and the temperature of the fluid are taken into account together with the flow velocity. Boundary conditions are as follows: the tangent velocity field at the sheet is given (in the form \(\vec u=\vec a (x+y)^n\), \(n>0\)), the normal velocity is zero, the linear Neumann condition is for the temperature, the concentration is fixed. At infinity the velocity tends to zero, while temperature and concentration tend to fixed values. The equations are solved numerically and the system's behaviour with respect to different dimensionless parameters (Prandtl number, Biot number, Dufour parameter) is investigated.