The problem of stagnation point flow over a stretching/shrinking sheet immersed in a micropolar fluid is analyzed
numerically. The governing partial differential equations are transformed into a system of ordinary (similarity) differential
equation and are then solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The
effects of various parameters on the velocity and the angular velocity as well as the skin friction coefficient and the couple
stress are shown in tables and graphs. The noticeable results are found that the micropolar and the slip parameters
decrease the skin friction coefficient and the couple stress in the existence of magnetic field. Dual solutions appear for
certain range of the shrinking strength. A stability analysis is performed to determine which one of the solutions is stable.
Practical applications include polymer extrusion, where one deals with stretching of plastic sheets and in metallurgy
that involves the cooling of continuous strips.