Thermal and mass stratification effects on MHD flow past an accelerated vertical plate with exponentially decaying wall temperature and exponential mass diffusion in porous medium

Abstract This study analyzes the heat and mass transfer of magnetohydrodynamic flow past an accelerated vertical plate along with exponentially decaying wall temperature and exponential mass diffusion, in which thermal and mass stratification was considered. The governing equations are solved by employing the Laplace transform method, and graphs are produced by implementing MATLAB software. The impacts of both stratifications on various parameters involved in our studies were investigated with the help of graphs. Graphs were used to display the effects of various parameters on velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number. We consider both the cases, that is, with and without stratification to study the effects of thermal and mass stratification. By evaluating the results of thermal stratification with an unstratified environment, the study comes to an important conclusion. It is seen that the Steady state is reached quickly with the combined effect of both stratifications. It is also discovered that the velocity steadily reduced as the magnetic field parameter increased. This research has many applications in understanding the fluid flow in engineering and technology fields, such as geophysics, astrophysics, and fluid engineering difficulties.