Unsteady MHD viscous dissipative Kuvshinski fluid past an infinite vertical porous plate with radiation, Soret, and Joule heating effect

Abstract This paper scrutinizes the combined effect of radiation, Soret, Joule heating, and chemical reaction on an unsteady magnetohydrodynamic visco‐elastic (Kuvshiniski type) fluid flow over an infinite vertical moving plate. The viscous dissipation, heat source, thermal and solutal buoyancy forces are taken into account. The plate is assumed to be embedded in a porous media and a transverse magnetic field is applied to the stream. The nondimensional governing equations are solved analytically using perturbation techniques. The influences of various dimensionless parameters on fluid velocity, temperature and concentration profiles, as well as the skin‐friction, Nusselt number and Sherwood number are analyzed and discussed graphically. Also, the present results are compared with previous studies and is found to be in excellent agreement. It has been shown that rising Soret numbers cause velocity, temperature and concentration to rise. Further, a hike in visco‐elastic parameter leads to decrease in motion, temperature and concentration profile.