MHD Free convective and radiative flow under the influence of thermal diffusion and heat sink considering ramped temperature and ramped concentration

The principal objective of the current investigation is to explore the impacts of thermo-diffusion on an unsteady MHD-free convective flow of a viscous, incompressible fluid passing through a suddenly started vertical semi-infinite plate in the presence of chemical reaction, thermal radiation, and heat sink. This article examines ramped temperatures and ramped concentrations. The basic boundary conditions are made non-dimensional by inserting some non-dimensional components. The Laplace transform method is used to solve the partial differential equations in closed form. Graphical illustrations of the influence of various flow parameters on the velocity, temperature, and concentration fields are given. Fluctuations in skin friction, the Nusselt number, and the Sherwood number for various parameters are explored. Increased Soret number boosts fluid velocity and concentration in both ramped and isothermal conditions. The ramped parameter drops fluid temperature and concentration but accelerates the fluid velocity. The rate of momentum transfer, heat transfer, and mass transfer improve as the ramped parameter value rises.