Unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux

An analysis is carried out to study the unsteady two dimensional stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux. The governing partial differential equations are converted into nonlinear ordinary differential equations using similarity variables, and solved numerically. The effects of the unsteadiness parameter A, stretching/shrinking parameter ε and Prandtl number Pr on the flow and heat transfer characteristics are studied. It is found that the skin friction f′′(0) and the local Nusselt number 1θ(0) increase as the the unsteadiness parameter A increases. Moreover, the velocity and temperature increase as ε and Pr increase.