The purpose of this study was to investigate the stability of fluid flow for the problem of stagnation flow in a micropolar fluid towards a vertical permeable surface with prescribed heat flux. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which are then solved numerically using the boundary value problem solver, bvp4c built in MATLAB software. The numerical results are obtained for the skin friction coefficient, local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters involved. Dual solutions are found to exist for a certain range of the bouyancy parameter or the mixed convection parameter in both assisting and opposing flows. A stability analysis is performed to determine which solution is stable in a long run. It is found that only one of the solutions is stable as time passes.
