Free convection effects on the oscillatory flow of a viscoelastic fluid with thermal relaxation in the presence of a transverse magnetic field

Abstract

Effects of free convection currents on the oscillatory flow of a viscoelastic fluid with thermal relaxation in the presence of a transverse magnetic field, which is bounded by a vertical plane surface, have been studied. The surface absorbs the fluid with a constant suction and the free stream velocity oscillates about a constant mean value. Analytical expressions for velocity, induced magnetic and electric fields and the electric current density have been obtained, using the regular perturbation technique. The effects of Grashof number G r , Prandtl number P r , Alfven velocity α, elastic parameter k 0 and frequency parameter n on the velocity are discussed. The effects of cooling and heating of a viscoelastic fluid compared to the Newtonian fluid have also been discussed.