Numerical calculation of power law non-Newtonian fluid flow in plane

An improved numerical calculation method for the non-Newtonian fluid flowing through micro tubes is proposed. This method is rapid and stable in calculation and can provide a precise and effective way for a large quantity of numerical experiments. The partial derivative equations for describing flow of 2-D incompressible power-law fluid are transformed, and flow function-turbulence equations of flow are generated. In this way, the number of unknown quantity can be reduced. In the process of discretization of equations, the unsteady solution was used to solve the steady problem, and the up-wind style was adapted to solve the convection term. The velocity was interpolated by the cubic spline, and the over-relaxation iterative solution method with an automatic parameter was used to calculate the flow function. With the help of above methods, a stable and rapid solution style was set up. The derivation theories, formula and program flow charts are given. The calculation result of a practical example is introduced. The possible improvement method for calculating the network models of porous media is presented.