MHD Flow Past a Temporarily Accelerated Semi-infinite Vertical Plate With Linear Ramped Conditions in Presence of Thermal Diffusion, Thermal Radiation, Chemical Reaction, and Heat Sink

This article presents a precise solution to the problem of a transient MHD-free convective chemically reactive flow of an incompressible, electrically conducting, viscous, optically thick, non-Gray fluid past a temporarily accelerated vertically semi-infinite plate with linear ramped conditions where thermal diffusion, thermal radiation, heat sink, and chemical reaction effects are present. Fluid is subjected to a uniform transverse magnetic field of strength $B_0$. The resulting linear nondimensional governing equations are solved by applying the closed version of the Laplace transform method. To describe the radiation heat flow that appears in the energy equation, the Rosseland model of radiation has been used. Using figures and tables, the impacts of various factors on flow and transport characteristics are studied for both the isothermal and ramped conditions. During the transverse magnetic field's appearance, fluid velocity declines. Viscous force reduces as ramped parameter values increase; hence, we may infer that the fluid's temperature climbs as the viscous force gets higher. There is an improvement in the temperature field with an increase in thermal diffusivity. Increasing mass diffusivity raises the concentration field. As fluid viscosity falls, fluid velocity rises.