Dual effect of chemical reaction and thermophoresis on Unsteady Magnetohydrodynamics (MHD) free convection flow with ramped wall conditions

An exact analysis of Magnetohydrodynamics (MHD) free convection flow of electrically conducting and chemically reactive fluid moving through a vertical plate with ramped wall conditions is presented. An inclined uniform magnetic field was applied to the vertical plate to influence the flow behavior. The cross-diffusion effect, like thermophoresis (Soret), has also been considered. The Laplace transform method was used to solve the governed set of nonlinear partial differential equations in precise closed form. The study simulated the influence of various parameters, such as the heat sink, magnetic field, first-order chemical reaction parameter, thermal radiation parameter, permeability parameter, and applied magnetic force inclination parameter, on the temperature, concentration, velocity profiles, as well as Nusselt number, Sherwood number, and skin friction in terms of graphs and tables. The outcome showed that a rise in heat sink parameter increases the concentration profile, skin friction, and Nusselt number but decreases the velocity and temperature profiles as well as the Sherwood number. The velocity profile and skin friction both decrease as the magnetic field parameter is increased. The first-order chemical reaction is found to decrease the concentration of the fluid particle, while the thermal radiation parameter raises the temperature profile. The results obtained are in excellent agreement with those reported in previously published works.