Slip Flow of Casson Fluid with Variable Thermo-Physical Properties along exponentially Stretching Sheet under Convective Heating

摘要

The motion of temperature dependent viscosity and thermal conductivity of steady incompressible laminar free convective (MHD) non-Newtonian Casson fluid flow over an exponentially stretching surface with exponentially decaying internal heat generation, slip flow and convective heating condition are investigated. It is assumed that natural convection is induced by buoyancy and exponentially decaying internal heat generation across the space with convective boundary and velocity slip. The governing boundary layer coupled partial differential equations are transformed, into a system of non-linear ordinary differential equations, which are solved numerically using the MATLAB bvp4c solver. A parametric study is performed to illustrate the influence of Prandtl number, Casson parameter, temperature dependent viscosity, temperature dependent thermal conductivity, Magnetic parameter, biot number and velocity slip on the fluid velocity and temperature profiles within the boundary layer. The flow controlling parameters are found to have a profound effect on the resulting flow profiles.