Mixed convection stagnation flow towards a vertical shrinking sheet

The steady mixed convection stagnation-point boundary layer flow past a vertical stretching/shrinking sheet in a viscous fluid is numerically investigated. The numerical solutions are obtained by solving the similarity equations which are derived via the similarity transformation technique in order to reduce the nonlinear partial differential equations into a system of nonlinear ordinary differential equations. Numerical techniques, namely the Keller-box method, along with the shooting method are used to solve the transformed ordinary differential equations. Results have been presented and discussed for the effects of the governing parameters on the skin friction coefficient and the local Nusselt number as well as for the velocity and temperature profiles. The present results show quite interesting flow behavior for the shrinking sheet problem compared to the stretching sheet problem. On the other hand, it is also found that dual solutions exist for the present problem. The streamlines for the two dimensional flow have also been presented.