EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

Document Type : Other

Authors

Abstract

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.

Keywords


Volume 37, No. 2
Proceedings of the 8th Seminar of Dierential Equations, Dynamical Systems and their Applications
July 2011
Pages 49-60
  • Receive Date: 05 October 2008
  • Revise Date: 22 February 2011
  • Accept Date: 24 February 2009
  • First Publish Date: 15 July 2011