Peristaltic Pumping of a Newtonian Fluid With Particles Suspended in It at Low Reynolds Number Under Long Wavelength Approximations

[+] Author and Article Information
M. R. Kaimal

Mehta Research Institute of Mathematics and Mathematical Physics, Allahabad, India

J. Appl. Mech 45(1), 32-36 (Mar 01, 1978) (5 pages) doi:10.1115/1.3424270 History: Received November 01, 1976; Online July 12, 2010


The peristaltic motion of a fluid in which are distributed uniform rigid particles through an axisymmetric tube of arbitrary wave shape is considered for low Reynolds numbers. Solutions for the stream functions and vorticity functions are obtained in the form of asymptotic expansions regarding the ratio (ε) of the tube radius to the wavelength of the peristaltic wave to be small. We have assumed the velocity equilibration length of particulate phase to be equal to the wavelength of the peristalsis. Expressions for mean pressure gradient and shear stress are obtained. Also we have discussed phenomena like “reflux” and “trapping”. The study is particularly helpful in engineering applications such as pumping of solid-fluid mixtures by peristalsis.

Copyright © 1978 by ASME
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