Influence of Lateral Walls on Peristaltic Flow of a Third Grade Fluid in a Rectangular Duct
|Safia Akram1*, Nadeem S2 and Anwar Hussain2|
|1Department of Basics Sciences, MCS, National University of Sciences and Technology, Islamabad 44000, Pakistan|
|2Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000 Pakistan|
|Corresponding Author :||Safia Akram
Department of Basics Sciences, MCS
National University of Sciences and Technology
Islamabad 44000, Pakistan
E-mail: [email protected]om
|Received February 27, 2014; Accepted March 26, 2014; Published April 03, 2014|
|Citation: Akram S, Nadeem S, Hussain A (2014) Influence of Lateral Walls on Peristaltic Flow of a Third Grade Fluid in a Rectangular Duct. J Appl Mech Eng 3:140. doi:10.4172/2168-9873.1000140|
|Copyright: © 2014 Akram S, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.|
In the present study we have discussed the influence of lateral walls on peristaltic flow of a third grade fluid in a
rectangular duct. The mathematical equations of the third grade fluid for the rectangular duct are first modeled and
then simplified under the assumptions of long wave length and low Reynolds number approximation. The reduced
equations are solved analytically using Homotopy perturbation method and the Eigen function expansion method.
The graphical results of the present problem are also discussed to see the effects of various emerging parameters.
It is observed that with an increase in third grade parameter the pressure rise, pressure gradient and number of the
trapping bolus decreases.