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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 815747, 23 pages
http://dx.doi.org/10.1155/2012/815747
Research Article

Peristaltic Slip Flow of a Viscoelastic Fluid with Heat and Mass Transfer in a Tube

Institute of Fluid Mechanics, TU Braunschweig, Braunschweig, Germany

Received 26 July 2012; Revised 23 October 2012; Accepted 8 November 2012

Academic Editor: Anuar Ishak

Copyright © 2012 Ayman Mahmoud Sobh. 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 paper discusses the combined effect of slip velocity and heat and mass transfer on peristaltic flow of a viscoelastic fluid in a uniform tube. This study has numerous applications. It serves as a model for the chyme movement in the small intestine, by considering the chyme as a viscoelastic fluid. The problem is formulated and analysed using perturbation expansion in terms of the wave number as a parameter. Analytic solutions for the axial velocity component, pressure gradient, temperature distribution, and fluid concentration are derived. Also, the effects of the emerging parameters on pressure gradient, temperature distribution, concentration profiles, and trapping phenomenon are illustrated graphically and discussed in detail.