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A study of peristaltic flow

Published online by Cambridge University Press:  21 April 2006

C. Pozrikidis
C. Pozrikidis
Affiliation:
Research Laboratories, Eastman Kodak Company Rochester, NY 14650, USA
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Abstract

Peristaltic flow in two-dimensional channels with sinusoidal waves is analysed. Under the assumption of creeping motion, the problem is formulated using the boundary integral method for Stokes flow. The effect of channel width, wave amplitude, phase shift, and mean pressure gradient on the streamline pattern and the properties of the flow is considered. The results are discussed with reference to various physiological and engineering processes. It is suggested that under the quasi-steady approximation, peristaltic flow with a varying mean pressure gradient offers an efficient method for molecular-convective transport.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 180 , July 1987 , pp. 515 - 527
Copyright
© 1987 Cambridge University Press

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References

Bohme, G. & Friedrich, R. 1983 Peristaltic flow of viscoelastic liquids. J. Fluid Mech. 128, 109–122.Google Scholar
Brown, T. D. & Hung, T. K. 1977 Computational and experimental investigation of two-dimensional nonlinear peristaltic flows. J. Fluid Mech. 83, 249–272.Google Scholar
Hung, T. K. & Brown, T. D. 1976 Solid-particle motion in two-dimensional peristaltic flows. J. Fluid Mech. 73, 77–96.Google Scholar
Jaffrin, M. Y. & Shapiro, A. H. 1971 Peristaltic pumping. Ann. Rev. Fluid Mech. 3, 13–36.Google Scholar
Lykoodis, P. S. & Roos, R. 1970 The fluid mechanics of the ureter from a lubrication point of view. J. Fluid Mech. 43, 661–674.Google Scholar
Pozrikidis, C. 1987 Creeping flow in two-dimensional channels. J. Fluid Mech. 180, 495–514.Google Scholar
Shapiro, A. H., Jaffrin, M. Y., Weinberg, S. L. 1969 Peristaltic pumping with long wavelengths at low Reynolds numbers. J. Fluid Mech. 37, 799–825.Google Scholar
Shukla, J. B., Parihar, R. S. & Rao, B. R. 1980 Effects of peripheral-layer viscosity on peristaltic transport of a bio-fluid. J. Fluid Mech. 97, 225–237.Google Scholar
Sobey, I. J. 1980 On flow through furrowed channels. Part 1. Calculated flow patterns. J. Fluid Mech. 96, 1–26.Google Scholar
Takabatake, S. & Ayukawa, K. 1982 Numerical study of two-dimensional peristaltic flows. J. Fluid Mech. 122, 439–465.Google Scholar
Taylor, G. I. 1951 Analysis of the swimming of microscopic organisms. Proc. R. Soc. A 209, 447–461.Google Scholar
Tong, P. & Vawter, D. 1972 An analysis of peristaltic pumping. J. Appl. Maths 33, 857–869.Google Scholar
Wilson, D. E. & Panton, R. L. 1979 Peristaltic transport due to finite amplitude bending and constructing waves. J. Fluid Mech. 90, 145–159.Google Scholar
Yin, F. C. P. & Fung, Y. C. 1971 Comparison of theory and experiment in peristaltic transport. J. Fluid Mech. 47, 93–112.Google Scholar