A stability analysis on unsteady mixed convection stagnation-point flow over a moving plate along the flow impingement direction

Abstract

The unsteady mixed convection stagnation-point flow over a moving plate along the flow impingement direction is numerically studied. The governing partial differentiation equations are transformed into ordinary differential equations using a similarity transformation, and then solved numerically by a shooting technique method. Dual solutions are observed in a certain range of opposing flow and regarding on these numerical solutions, we prepared a stability analysis to identify which solution is stable between non-unique solutions by bvp4c solver in Matlab. Further we obtain numerical results which enable us to discuss the features of the respective solutions.