According to the principle of Galerkin finite element method, this article established the finite element equations for two dimensional creeping flow of power law fluid and designed the computing program. The flow of Newtonian fluid between two infinite parallel plates and the flow of rubber in the sheeting die of the rubber extruder are computed. The results showed that how the creeping flow problems in chemical engineering can be solved by using Galerkin finite element method, and the method is not only c...