Local nonsimilarity solution of Casson fluid flow along a stretching surface in the presence of viscous dissipation, variable viscosity and thermal conductivity

Abstract

The study of heat and mass transfer of Casson fluid flow along a stretching sheet in the presence of viscous
dissipation, variable viscosity and thermal conductivity is investigated. The governing partial differential equations are reduced to a system of coupled nonlinear quasi-ordinary differential equations through Sparrow-Quack-Boerner Local Nonsimilarity Method evaluated at a particular streamwise location by Midpoint method based on Richardson Extrapolation Enhancement scheme implemented on MAPLE 17 platform. The numerical results for velocity, temperature and concentration distributions as well as skin friction coefficient, Nusselt and Sherwood
numbers were obtained. Parametric analysis of some embedded parameters such as Eckert number, Casson, thermal radiation and magnetic strength were carried out and these results have been displayed graphically. It is observed that the velocity, temperature and concentration profiles increase with increase in variable viscosity but the converse is true for the variable thermal conductivity