Pipe flow problems are important in transportation of wastewater, oil lines and supply of water. In this study, a non-Newtonian fluid model is discussed and a CFD solution is presented for flow geometry. The effects on velocity, pressure, dynamic viscosity and cell Reynolds number are discussed for different parameters of flow inside the pipe. Power Law function is considered in the analyses. The velocity profile increased and get more parabolic distribution when flow behaviour index, n was increased. That supports lower pressure profile in the pipe flow. The lowest n value causes to increase the sensitivity for viscous effects. The increased flow consistency index, K causes to increase dynamic viscosity but decreases the Re number. Results are given in different graphs and contours.