Unsteady Boundary Layer Flow of a Micropolar Fluid near the Stagnation Points of a Plane Semi-Infini

The problem of an unsteady two-dimensional boundary layer flow of a viscous and incompressible micropolar fluid at the stagnation point of a semi-infinite wall is considered.  Both the forward and rear stagnation points will be considered.  The unsteadiness in the flow field is introduced by the free-stream velocity, which varies with time.  The governing boundary layer equations in a rectangular Cartesian coordinate are solved using an implicit finite-difference method known as Keller-box method.  The numerical solutions for the skin friction coefficient, velocity profiles and microrotation profiles are presented in some graphs and are discussed in detail.  The numerical results show that as the material parameter of the micropolar fluid increases, the skin friction decreases.  The velocity increases while the microrotation decreases as the value of time increases so that the steady-state flow is attained.