Some Exact Solutions Of Non-newtonian Fluid

Non-Newtonian fluids which attract many scholars to study are widely used in industry. The governing equation of non-Newtonian fluid is a high dimensional non-linear differential equation. It is difficult to solve the exact solutions and the number of the exact solutions which have been found so far are very limited. The exact solution of non-Newtonian fluid is helpful for us to know and understand the charac-teristics of non-Newtonian fluid, and to provide guidance for industrial productions and lives. Therefore, it is of great theoretical and practical significance to study the exact solution of non-Newtonian fluid.In this paper, several exact solutions of non-Newtonian fluid are solved by using the inverse method proposed by Nemeyi. Several exact solutions of couple stress fluid and second-grade fluid are solved:1.In this paper, we obtain the exact solutions of the Riabouchinsky type for the couple stress fluid.Our results indicate that velocity components and steamline functions are strongly dependent upon the material parameter of couple stress fluids.2.We investigate analytical solutions of non-Newtonian fluid for porous medium channel and Hall current effects via inverse method for steady and unsteady cases.We obtain the exact solution of the parallel flow with vertical pumping (suction) and exponential decay with time.