Analytical and Numerical Analysis of Vogel’s Model of Viscosity on the Peristaltic Flow of Jeffrey Fluid
Publication: Journal of Aerospace Engineering
Volume 25, Issue 1
Abstract
In the present article, the effects of temperature-dependent viscosity on the peristaltic flow of Jeffrey fluid through the gap between two coaxial horizontal tubes was analyzed. The inner tube is maintained at a temperature , and the outer tube has sinusoidal wave travelling down its wall and is exposed to temperature . The governing problem is simplified using long-wave length and low Reynolds number approximations. Regular perturbation in terms of small viscosity parameter is used to get the expressions for the temperature and velocity for Vogel’s models of viscosity. The numerical solution of the problem has also been computed by a shooting method, and an agreement of numerical solutions and analytical solutions had been presented. The expressions for pressure rise and friction force are calculated numerically. Graphical results and trapping phenomenon is presented at the end of the paper to see the physical behavior of different parameters.
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Acknowledgments
The third writer (as a visiting professor) thanks Global Research Network for Computational Mathematics, King Saud University, for partial support of this work.
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Published In
Journal of Aerospace Engineering
Volume 25 • Issue 1 • January 2012
Pages: 64 - 70
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Apr 28, 2010
Accepted: Dec 2, 2010
Published online: Dec 15, 2011
Published in print: Jan 1, 2012
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