Soret and Dufour effects on an MHD free convective flow through a channel bounded by a long wavy wall and a parallel flat wall

This paper presents Soret and Dufour effects on a 2-dimensional free convective magnetohydrodynamic (MHD) flow of a viscous incompressible and electrically conducting fluid through a channel bounded by a long vertical wavy wall and a parallel flat wall. A uniform magnetic field is assumed to be applied perpendicular to the flat wall. Governing equations of the fluid flow and heat and mass transfer are solved analytically subject to the relevant boundary conditions. It is assumed that the solution consists of 2 parts, a mean part and a perturbed part. The long wave approximation has been used to obtain the solution of the perturbed part. The perturbed part of the solution is the contribution from the waviness of the wall. The expressions for zeroth-and first-order velocity, temperature, concentration, skin friction, and the rate of heat and mass transfer at the walls are obtained. Some of the results indicating the influence of Soret and Dufour effects on the above fields are presented graphically.