Asian Journal of Pure and Applied Mathematics

Unsteady MHD of natural convection, heat and mass transfer of incompressible, electrically conducting and heat absorbing fluid flow over a vertical plate is considered. The flow is induced by general time dependent regulation. Application of similarity transformation technique in transforming nonlinear-coupled partial differential equations to nonlinear coupled ordinary differential equations. Examination of the physical implications of the skin friction coefficient, heat transfer rate at the wall (Nusselt number), mass transfer rate at the wall (Sherwood number), and the Temperature at the wall surface. Development of numerical scheme for solving the modelled problem by using shooting technique alongside with Runge-Kutta method of higher order implemented in Maple 2026. Analysing the impacts of the fluid flow parameters on the formulated model and to compare the results with the existing model. Some of the major findings are that the radiative heat flux boosts the thermal energy within the boundary layer and thereby reducing the fluid viscosity, which gives rise to the velocity. The thermal and viscous boundary layer thickness decreases while it increases with Prandtl number. At higher chemical reaction applications, the momentum and concentration boundary layer thickness become thinner, while thermal boundary layer becomes thicker. Moreover, the rate of mass transfer within the boundary layer is enhanced with chemical reaction parameters, but the contrary is true for heat transfer from the plate surface to the free stream region. The unsteadiness parameter has greater influence on the entire flow. Eckert number with nonlinear density variation has greater influence on the flow. The findings are relevant to industrial applications involving polymer processes, cooling systems and electrically conducting fluids.