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The Scientific World Journal
Volume 2014 (2014), Article ID 143968, 14 pages
http://dx.doi.org/10.1155/2014/143968
Research Article

Analysis of Eyring-Powell Fluid in Helical Screw Rheometer

1Department of Mathematics, York Campus, Pennsylvania State University, York, PA 17403, USA
2Department of Mathematics, COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan
3Department of Mathematics, COMSATS Institute of Information Technology, 43600 Attock, Pakistan

Received 21 August 2013; Accepted 18 December 2013; Published 24 February 2014

Academic Editors: J. Biazar, X. Jing, and Y. Liu

Copyright © 2014 A. M. Siddiqui et al. 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.

Abstract

This paper aims to study the flow of an incompressible, isothermal Eyring-Powell fluid in a helical screw rheometer. The complicated geometry of the helical screw rheometer is simplified by “unwrapping or flattening” the channel, lands, and the outside rotating barrel, assuming the width of the channel is larger as compared to the depth. The developed second order nonlinear differential equations are solved by using Adomian decomposition method. Analytical expressions are obtained for the velocity profiles, shear stresses, shear at wall, force exerted on fluid, volume flow rates, and average velocity. The effect of non-Newtonian parameters, pressure gradients, and flight angle on the velocity profiles is noticed with the help of graphical representation. The observation confirmed the vital role of involved parameters during the extrusion process.