An Exact Analysis of Unsteady MHD Free Convective Chemically Reacting Elasto-Viscous Fluid Flow Past an Impulsively Started Infinite Vertical Plate Through Porous Medium in the Presence of Radiation Absorption

Abstract

In this paper, an exact analysis is carried out for the Laplace transform solution of unsteady MHD chemically reacting elasto-viscous fluid past an infinite vertical plate through porous medium in the presence of radiation absorption and transverse applied magnetic field. The governing equations describing the flow pattern are transformed to a system of linear partial differential equations using appropriate non-dimensional quantities. The resulting transformed equations are solved analytically by using Laplace transform technique and exact solutions for velocity, temperature and concentration as well as Nusselt number and Sherwood number are obtained in terms of exponential and complementary error functions. Behaviour of emerging parameters like elasto-viscous, heat absorption, radiation absorption, magnetic field, Schmidt number, chemical reaction, thermal Grashof number, mass Grashof number, Prandtl number and time is presented graphically and discussed in detail. It was found that increasing radiation absorption parameter, velocity is decreasing for elasto-viscous fluid, but the reverse effect is found for viscous fluid in case of cooling of the plate. An increase in heat absorption, Schmidt number and chemical reaction lead to rise in the Sherwood number and Nusselt number while a reverse effect is noticed in the flow transport.