Slip Velocity and Chemical Reaction Effects on Unsteady Free Convection Flow of MHD Casson Fluid in a Cylinder with Heat and Mass Transfer Through Porous Medium

Abstract

This research paper is focused on a study of the unsteady MHD flow of non-Newtonian Casson fluid with slip velocity and chemical reaction effect in the presence of heat and mass diffusion. The fluid flows past in infinite circular cylinders through a porous medium. The analytic solutions for the velocity profile are derived by using the Laplace transform and the finite Hankel transform. The graphical profiles of velocity are represented to examine and illustrate the impacts of various physical parameters on the significance of physical flow features. The result shows that the slip velocity in the presence of chemical reaction influenced the behaviour of the flow of Casson MHD fluid velocity. Besides that, fluid velocity increases with the increase in the Casson parameter, while it decreases when the magnetic parameter increases. The impact of slip velocity on the flow of fluid decreases at the centre and increases at the boundary of a cylinder. Thus, these findings are beneficial for further exploration in the applications of biomedical engineering and pathology.