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Mathematical Problems in Engineering
Volume 2017, Article ID 6904161, 8 pages
https://doi.org/10.1155/2017/6904161
Research Article

Swirling Flow in a Permeable Tube at Slowly Expanding and Contracting Wall

Department of Quantitative Methods, College Business Administration, University of Dammam, Dammam 31441, Saudi Arabia

Correspondence should be addressed to Sufian Munawar; moc.liamtoh@rawanum.naifus

Received 5 September 2016; Accepted 27 December 2016; Published 19 January 2017

Academic Editor: Sébastien Poncet

Copyright © 2017 Sufian Munawar. 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

The swirling flow inside a circular elastic tube with expanding and contracting permeable wall in the presence of a uniform magnetic field is studied analytically. The tube is also assumed to be rotating around its axis with an angular velocity. The governing equations for this multidimensional flow are reduced to nonlinear differential equations with similarity transformations. An analytic series solution is obtained by homotopy analysis method (HAM). The effects of physical parameters on various flow characteristics, such as the velocity, skin friction, and pressure variation, have been analysed briefly. The impact of surface expansion/contraction and rotation has been investigated on the internal boundary-layer flow inside the tube of uniform cross-section.