MHD free convective mass transfer flow of radiative uniform heat generation (absorption) fluid through a wavy permeable channel in the presence of Soret and Dufour effects

The paper aims to present analytically the parametric effect of thermo-diffusion (Soret) and diffusion-thermo (Dufour) effects on a two-dimensional steady magnetohydrodynamic (MHD) free convective heat and mass transfer flow of a reasonably viscous incompressible electrically conducting fluid in the presence of thermal radiation and zeroth-order heat generation (absorption) effects. The governing system of partial differential equations with favorable boundary conditions is first non-dimensionalized and then solved by splitting the solution into a mean part and a perturbed part. Ostrach’s static fluid model is used to solve the mean part of the solution, while long wave approximations are employed to deal with the perturbed part of the solution. It is observed that an increase in parametric values of Soret and Dufour numbers as well as wall temperature and wall concentration parameters increase the primary velocity, while the cross flow velocity is found to be decreasing because of the increase in values of Soret and Dufour numbers. The primary and the cross flow velocities are both found to be increasing because of the increase in the thermal radiation parameter. The Nusselt number at the plates decreases because of the increase in the wall temperature parameter. It is also interesting to observe that the temperature and concentration of fluid particles near a plate are regulated by the influence of wall temperature and wall concentration parameters.