Peristaltic Transport in a Circular Cylindrical Pipe

[+] Author and Article Information
T. S. Chow

Department of Chemistry, University of North Carolina, Chapel Hill, N. Car.

J. Appl. Mech 37(4), 901-905 (Dec 01, 1970) (5 pages) doi:10.1115/1.3408716 History: Received April 10, 1969; Revised March 04, 1970; Online July 12, 2010


The flow of an incompressible viscous fluid through a circular pipe is studied for the case of an axisymmetric wave traveling along the wall when the initial motion is assumed to be a Hagen-Poiseuille flow. The solution is represented by a power series expansion to the second order of amplitude-to-radius ratio, ε2 , which is assumed to be much less than unity. Two domains of the flow, with convective term not negligible compared to the viscous term, are of main concern. The first is the case of low Reynolds number (R = wave speed × radius/kinematic viscosity). The second is for small radius-to-wave-amplitude ratio (α = 2π radius/wavelength). Analytical calculations are carried out to the second order of R and α, respectively. The result obtained indicates that the series expansion in powers of α is applicable up to R -values of order 10.

Copyright © 1970 by ASME
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