Investigation of flow in a pipe for a new non-newtonyen fluid model

In this study, the flow of a kind of non-Newtonyen fluid model in a pipe is investigated. By using the general equations of motion that have gained for cylindirical coordinates, momentum and energy equations for one-dimensional flow in a pipe are determined. For the determined equations the boundary conditions explaining flow in pipe are established. Although these equations and boundary conditions are dimensional equations, size is made to be more general. Thus, ordinary differential equation systems that regard the one-dimensional flow in cylindrical coordinates are achieved. Perturbation method, a pedestrian approach, is used for the approximate solutions of these equations. In solutions, it is admitted that the viscosity is constants. As well as approximate solutions, numerical solutions are done. Finite Differentiations method is used to obtain the numerical solutions. Solutions are reached by using Matlab packet program. The effect of various fluid constants on velocity and heat profiles is investigated. Analytical and numerical solutions are compared.