Casson Fluid Flow near the Stagnation Point over a Stretching Sheet with Variable Thickness and Radiation

The stagnation-point flow of an incompressible non-Newtonian fluid over a non-isothermal stretching sheet is investigated. Mathematical analysis is presented for a Casson fluid by taking into the account of variable thickness and thermal radiation. The coupled partial differential equations governing the flow and heat transfer are transformed into non-linear coupled ordinary differential equations by a similarity transformation. The transformed equations are then solved numerically by Runge-Kutta-Fehlberg method along with shooting technique. The effects of pertinent parameters such as the Casson fluid parameter, wall thickness parameter, velocity power index, velocity ratio parameter, Prandtl number and radiation parameter have been discussed. Comparison of the present results with known numerical results is shown and a good agreement is observed.

Keywords:

Stagnation point flow , Variable thickness , Casson fluid , Thermal radiation , Numerical solution