This paper deals with the study of unsteady stagnation-point boundary layer flow and heat transfer on a shrinking surface induced by a shrinking sheet in the presence of radiation effect. The governing nonlinear partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. The transformed equations are solved numerically using a “bvp4c” function in MATLAB. Dual solutions are found for a certain range of the unsteadiness parameters. A stability analysis has been performed to determine which solution is stable and physically realizable. The effects of the Prandtl number, unsteadiness, radiation and shrinking parameters on the skin friction coefficient and the local Nusselt number, as well as the velocity and temperature profiles are presented and discussed.

dual solutions, heat transfer, radiation effect, shrinking surface, stability analysis, unsteady flow.