Effects of Heat Generation, Thermal Radiation, and Hall Current on MHD Casson Fluid Flow Past an Oscillating Plate in Porous Medium

The present study investigates the natural convection magnetohydrodynamic (MHD) flow of Casson fluid beyond an oscillating vertical plate in a rotating system. The characteristics of the thermal radiation, heat generation, Hall current, and chemical reaction are analyzed with ramped wall temperature. Using the Laplace transform technique, non-dimensional equations are solved. An expression for the velocity, temperature, and concentration profiles is acquired. The results of the isothermal temperature have been compared to find and understand the effect of the ramped wall temperature plate. The numerical values of the velocity, temperature, and concentration profiles are provided graphically for numerous values of the pertinent parameter. It can be seen that the Hall current, permeability of the porous medium, thermal radiation, and heat generation parameter have a tendency to improve motion in both the x'- and z'-directions. For both the ramped and isothermal thermal plates, expressions for the Nusselt and Sherwood numbers are obtained and presented in tabular form.