Analytical and Numerical Solutions of non-Newtonian fluid flow without porous media filled in channels

Abstract

The goal of study to find the solutions of partial differential equation governing the motion of a problem related with nonNewtonian fluid flow without porous media in channels are searched numerical way and study state solution is investigated. The problem of non-Newtonian fluids flow is solved by Lie-group method and shooting method. The generator of the symmetry group is employed and the PDE decreases to an ODE with the proper conditions. ODE have been solved by shooting method, and obtained results of the problem.