An analytical study of magnetohydrodynamic Casson fluid flow in a channel with induced magnetic field, radiative heat flux and viscous dissipation

Abstract

An analysis of the hydromagnetic flow of an incompressible Casson fluid through a vertical channel with insulated walls is considered. Influences of induced magnetic field, thermal radiation, heat sink, first-order chemical reaction, and viscous dissipation are accounted. The resulting simultaneous coupled equations are solved by using the perturbation technique. The influences of pertinent parameters on fluid velocity, temperature, concentration, induced magnetic field, induced current density, Nusselt number, skin frictions, and mass flux are discussed. It is observed that the Casson parameter and radiation parameter improves the fluid velocity, the Nusselt number, and the skin friction at the two isolated walls. The induced magnetic field in the midline of the channel reduces due to the influences of the chemical reaction parameter and the heat sink parameter, while the Casson parameter increases. The mass flux of the system improves with the Casson parameter, radiation parameter, and chemical reaction parameter.