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Applied Bionics and Biomechanics
Volume 2015, Article ID 152802, 10 pages
http://dx.doi.org/10.1155/2015/152802
Research Article

Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect

1Department of Applied Mathematics, Echelon Institute of Technology, Faridabad 121002, India
2Department of Mechanical Engineering, Manipal University Jaipur, Rajasthan 303007, India
3GORT Engovation-Aerospace and Biomechanics, Southmere Avenue, Bradford BD7 3NU, UK
4Department of Mathematics, Indian Institute of Technology, Roorkee 247667, India
5Department of Physics, National Institute of Technology Delhi, Delhi 110040, India

Received 20 January 2015; Accepted 27 May 2015

Academic Editor: Saverio Affatato

Copyright © 2015 M. K. Chaube 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

A mathematical study on creeping flow of non-Newtonian fluids (power law model) through a nonuniform peristaltic channel, in which amplitude is varying across axial displacement, is presented, with slip effects included. The governing equations are simplified by employing the long wavelength and low Reynolds number approximations. The expressions for axial velocity, stream function, pressure gradient, and pressure difference are obtained. Computational and numerical results for velocity profile, pressure gradient, and trapping under the effects of slip parameter, fluid behavior index, angle between the walls, and wave number are discussed with the help of Mathematica graphs. The present model is applicable to study the behavior of intestinal flow (chyme movement from small intestine to large intestine). It is also relevant to simulations of biomimetic pumps conveying hazardous materials, polymers, and so forth.