Influence of higher order chemical reaction and non-uniform heat source/sink on Casson fluid flow over a vertical cone and flat plate

The present study focuses on the effects of surface dependent heat source/sink, viscosity and thermal conductivity variations on unsteady flow of Casson fluid over a vertical cone and flat plate with the influence of thermal radiation, temperature dependent heat source/sink and higher order chemical reaction effects. The model which is constituted with highly nonlinear governing equations is solved numerically by an efficient finite difference scheme of Crank-Nicolson type. Numerical calculations are carried out and reported graphically for various parametric conditions to show interesting aspects of the solution on flow, heat and mass transfer characteristics of this problem. Results indicate that the hydrodynamic and thermal boundary layer thickness decrease for higher values of thermal radiation parameter. The fluid flow and heat transfer are appreciably influenced by the temperature dependent heat source/sink parameter. The flow and heat transfer characteristics of this problem are also regulated by surface dependent heat source/sink, viscosity and thermal conductivity variation parameters. (C) 2016 Elsevier B.V. All rights reserved.