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Viscid fluid motion in a tube with deforming walls

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Abstract

The problem of incompressible fluid flow in a tube with rhythmically deforming walls is of interest in connection with the study of certain physiological processes and has been examined recently in [1] on the basis of the equations of hydrodynamics in the Stokes approximation. This paper solves a more general problem, and the solution is obtained by a considerably simpler method. Along with completely satisfactory agreement of the quantitative results with those of [1], the present method provides simple and convenient computational formulas and apparently admits several useful extensions and improvements.

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References

  1. J. C. Burns and T. Parkes, “Peristaltic motion”, J. Fluid Mech., vol. 29, no. 4, 731–743, 1967.

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  2. A. H. Shapiro, “Pumping and retrograde diffusion in peristaltic waves”, Proc. Workshop on Urethral Reflux in Children, Washington, 109–133, 1967.

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Authors and Affiliations

  1. Scientific Research Institute for Mechanics of Moscow State University, Moscow

    S. A. Regirer

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  1. S. A. Regirer
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Regirer, S.A. Viscid fluid motion in a tube with deforming walls. Fluid Dyn 3, 141–142 (1968). https://doi.org/10.1007/BF01019219

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  • DOI: https://doi.org/10.1007/BF01019219

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