Unsteady 3D MHD Carreau and Casson Fluids over a Stretching Sheet with Non-Uniform Heat Source/Sink

Abstract

In this study, we analyzed the effects of nonlinear thermal radiation and non-uniform heat source/sink on an unsteady three-dimensional flow of Carreau and Casson fluid past a stretching surface. The transformed governing equations are solved numerically using Runge-Kutta based shooting technique. We obtained better accuracy of the present results by comparing with the already published literature. The influence of dimensionless parameters on velocity and temperature profiles along with the friction factors, local Nusselt and Sherwood numbers are discussed with the help of graphs and tables. We presented dual nature solutions for the flow over a Carreau and Casson fluid cases. It is also found that the non-uniform heat source or sink is control the thermal boundary layer for both the Casson and Carreau fluid cases.

Keywords: MHD, unsteady, nonlinear thermal radiation, Carreau fluid, Casson fluid, 3D.