A study of peristaltic flow

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.

[1]  Frank C. P. Yin,et al.  Comparison of theory and experiment in peristaltic transport , 1971, Journal of Fluid Mechanics.

[2]  Thomas D. Brown,et al.  Computational and experimental investigations of two-dimensional nonlinear peristaltic flows , 1977, Journal of Fluid Mechanics.

[3]  C. Pozrikidis Creeping flow in two-dimensional channels , 1987, Journal of Fluid Mechanics.

[4]  K. Ayukawa,et al.  Numerical study of two-dimensional peristaltic flows , 1982, Journal of Fluid Mechanics.

[5]  I. Sobey On flow through furrowed channels. Part 1. Calculated flow patterns , 1980, Journal of Fluid Mechanics.

[6]  R. Panton,et al.  Peristaltic transport due to finite amplitude bending and contraction waves , 1979, Journal of Fluid Mechanics.

[7]  J. B. Shukla,et al.  Effects of peripheral-layer viscosity on peristaltic transport of a bio-fluid , 1980, Journal of Fluid Mechanics.

[8]  P. Lykoudis,et al.  The fluid mechanics of the ureter from a lubrication theory point of view , 1970, Journal of Fluid Mechanics.

[9]  P. Tong,et al.  An Analysis of Peristaltic Pumping , 1972 .

[10]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[11]  G. Taylor Analysis of the swimming of microscopic organisms , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[12]  G. Böhme,et al.  Peristaltic Flow of Viscoelastic Liquids , 1983 .

[13]  T. Brown,et al.  Solid-particle motion in two-dimensional peristaltic flows , 1976, Journal of Fluid Mechanics.