Slip Flow of MHD Casson Fluid Past a Stretching Sheet with Non-Uniform Heat Source and Sink Effects

Abstract

The present study investigates the slip effects on the flow and heat transfer characteristics of
a non-Newtonian Casson fluid due to the linearly stretching sheet under the influence of
external magnetic field. The effects of viscous dissipation and non-uniform heat source/sink
on the heat transfer characteristics of casson fluid are analysed. Suitable similarity
transformations are used to convert the governing non-linear partial differential equations of
momentum and heat transfer into non-linear ordinary differential equations and then solved
numerically by using Runge-Kutta integration scheme of fourth order along with the shooting
technique. The heat transfer analysis is made for two different cases of boundary heating
conditions, namely constant surface temperature (CST case) and prescribed surface
temperature (PST case). The influence of governing non-dimensional parameters on flow and
heat transfer characteristics are discussed graphically. It is found from the present analysis
that, the increasing Casson fluid parameter upsurges the temperature field. Also, enhancing
magnetic field decreases the velocity of the fluid. Finally, the present numerical solutions are
validated with the previously published results and found to be in good agreement