EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched and compared with Newtonian uid to show the accuracy of this work. Volume ux, average velocity and pres- sure gradient are also calculated. Results reveal that the proposed method is very e ective and simple for solving nonlinear equations like non-Newtonian uids.