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Comparison of theory and experiment in peristaltic transport

Published online by Cambridge University Press:  29 March 2006

F. C. P. Yin  and
Y. C. Fung
F. C. P. Yin
Affiliation:
Department of Aerospace and Mechanical Engineering Sciences University of California, San Diego, La Jolla, California
Y. C. Fung
Affiliation:
Department of Aerospace and Mechanical Engineering Sciences University of California, San Diego, La Jolla, California
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Abstract

Various theoretical aspects of peristaltic motion have attracted considerable attention in the recent literature. There also exists a difference of opinion concerning the definition of peristaltic reflux. Thus far, there has been no completely satisfactory experimental verification of any of the theoretical analyses. The present article describes some details of an experimental work which was carried out to verify the theoretical analysis of peristaltic transport in a two-dimensional channel with one fixed wall and one flexible wall on which a travelling sine wave is imposed. An approximate correction for finite width was introduced. Comparison of the theoretical and experimental results shows a good agreement and gives verification to the theoretical analysis. In the light of the experimental results, a discussion of the different definitions of peristaltic reflux is presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 47 , Issue 1 , 14 May 1971 , pp. 93 - 112
Copyright
© 1971 Cambridge University Press

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References

Barton, C. & Raynor, S. 1968 Peristaltic flow in tubes Bull. Math. Biophys. 30, 663–680.Google Scholar
Burlirsch, R. & Stoer, J. 1966 Numerical treatment of ordinary differential equations by extrapolation methods Num. Math. 8, 1–13.Google Scholar
Burns, J. C. & Parkes, T. 1967 Peristaltic motion J. Fluid Mech. 29, 731–743.Google Scholar
Fung, T. C. & Yih, C. S. 1968 Peristaltic transport Trans. ASME, J. Appl Mech. 35, 669–675. Discussion by M. Jaffrin and A. Shapiro and author's closure, 36, 379–381.Google Scholar
Hanin, M. 1968 The flow through a channel due to transversely oscillating walls Israel J. Tech. 6, 67–71.Google Scholar
Latham, T. W. 1966 Fluid motions in a peristaltic pump. SM thesis, Mechanical Engineering Department, Massachusetts Institute of Technology.
Purday, H. F. P. 1949 An Introduction to the Mechanics of Viscous Flow. Dover.
Rouse, H. 1959 Advanced Mechanics of Fluids. John Wiley.
Shapiro, A. H. 1967 Pumping and retrograde diffusion in peristaltic waves. Proc. Workshop in Ureteral Reflux in Children, Nat. Acad. Sci., Nat. Res. Council, pp. 109–126.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
Yin, F. 1970 Theoretical and experimental investigations of peristaltic motion. Ph.D dissertation, Dept. of Aerospace and Mechanical Engineering Sciences, University of California, San Diego.
Yin, F. & Fung, Y. C. 1969 Peristaltic waves in circular cylindrical tubes Trans. ASME, J. Appl. Mech. 36, 579–587.Google Scholar
Zien, T. F. & Ostrach, S. 1970 A long wave approximation to peristaltic motion J. Biomechanics, 3, 63–75.Google Scholar