A study of the flow of non-newtonian fluid between heated parallel plates by HAM

H.A. Wahab
Department of Mathematics, Hazara University, Manshera, Pakistan.
Saira Bhatti
Department of Mathematics, CIIT Abbottabad Pakistan.
Saifullah Khan
Department of Mathematics, Hazara University, Manshera, Pakistan.
Department of Mathematics, AWK University Mardan Pakistan.
Muhammad Naeem
Department of IT, AUST, Abbottabad, Pakistan.
Sajjad Hussain
Department of Mathematics, Hazara University, Manshera, Pakistan.

\(^{1}\)Corresponding Author: wahabmaths@yahoo.com

Copyright © 2015 H.A. Wahab, Saira Bhatti, Saifullah Khan, Muhammad Naeem ,Sajjad Hussain. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2015.

Abstract

This paper presents the heat transfer of a third grade fluid between two heated parallel plates for two models: constant viscosity model and Reynold’s model. In both cases the nonlinear energy and momentum equations have been solved by HAM. The graphs for the velocity and temperature profiles are plotted and discussed for various values of the emerging parameters in the problem. The main effect is governed by whether or not the fluid is non-Newtonian and the temperature effects are being referred to have a less dominant role.

Keywords:

Non-Newtonian fluid, comparison of perturbation methods, homotopy analysis method, homotopy perturbation method.