Similarity solutions of unsteady boundary layer equations of a special third grade fluid

Two-dimensional, unsteady, laminar boundary layer equations of a special model of non-Newtonian fluids are considered. The fluid can be considered as a special type of power-law fluid. The problem investigated is the flow over a moving surface, with suction of injection. Two different type of ordinary differential equations system are found using the transformations. Using scaling and translation transformations, equations and boundary conditions are transformed into a partial differential system with two variables. Using translation and a more general transformation, the boundary value problem is transformed into an ordinary differential equations system. Finally, we numerically solve two different ordinary differential equations, separately.