Walter's-B Viscoelastic Flow past a Semi-Infinite Vertical Plate embedded in a Non-Darcy Purous Medium with Heat Source/Sink

A numerical solution for the unsteady free convective heat and mass transfer in a MHD viscoelastic fluid along a semi-infinite vertical plate embedded in a non-Darcy porous medium in the presence of heat source/sink. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. This rheological model introduces supplementary terms into the momentum conservation equation. The dimensionless unsteady, coupled, and non-linear partial differential conservation equations for the boundary layer regime are solved by an efficient, accurate and unconditionally stable finite difference scheme of the Crank-Nicolson type. The velocity, temperature and concentration fields have been studied for the effect of Prandtl number, viscoelasticity parameter, magnetic parameter, Schmidt number, buoyancy ratio parameter, radiation parameter, heat source/sink parameter. The local skin- friction, Nusselt number and Sherwood number are also presented and analyzed graphically. It is observed that, when the viscoelasticity parameter increases, the velocity decreases close to the plate surface.