Magnetohydrodynamic axisymmetric flow of Casson fluid with variable thermal conductivity and free stream

Abstract

This article examines Joule heating and viscous dissipation effects in axisymmetric stagnation point flow of Casson fluid with temperature dependent thermal conductivity. The governing boundary layer equations are transformed into a set of ordinary differential equations using the similarity transformations. Resulting boundary value problem is solved by homotopy analysis method (HAM). The homotopy solutions are compared with the numerical results. The behavior of sundry parameters is analyzed through the dimensionless velocity, temperature, wall shear stress and Nusselt number. The upshot of Casson fluid parameter appears to accelerate the fluid velocity. The system heats up by the effects of dissipation and Joule heating. Keywords: Axisymmetric MHD flow, Casson fluid, Stagnation point, Variable thermal conductivity, Viscous dissipation