Some regimes of peristaltic pumping
type: Item
instance of: scholarly article
title: Some regimes of peristaltic pumping
zbMATH Open document ID: 0563.76130
DOI: 10.1007/BF01090988
author: G. V. Levina
published in: Fluid Dynamics
publication date: 1983-01-01T00:00:00Z
review text: A study is made of the flow regimes at large wave numbers and amplitudes of the deformation of the channel wall. A numerical method used earlier by the author [Numerical investigation of finite-amplitude peristaltic pumping, on pp. 100-105 in: Convective flows, No.1, Perm (1979)], augmented by a calculation of the pressure in accordance with a scheme of the type proposed by \textit{C. W. Richards} and \textit{C. M. Crane} [Int. J. Numer. Methods Eng. 15, 599-610 (1980; Zbl 0441.76023)], is used to determine the limits of applicability of the results reviewed by \textit{M. J. Jaffrin} and \textit{A. H. Shapiro} [Annu. Rev. Fluid Mech. 3, 13-36 (1971)]. It is shown that at sufficiently large wave numbers a new type of trapping not associated with splitting of the central streamline is possible.
Mathematics Subject Classification ID: 76Z05
zbMATH DE Number: 3898538
zbMATH Keywords: peristaltic pumping
zbMATH Keywords: two-dimensional flow of a viscous incompressible liquid
zbMATH Keywords: reflux
zbMATH Keywords: large wave numbers and amplitudes
zbMATH Keywords: trapping
MaRDI profile type: Publication
Wikidata QID: Q114097308
cites work: Q5621240
cites work: Computational and experimental investigations of two-dimensional nonlinear peristaltic flows
cites work: Pressure marching schemes that work
cites work: Q5664923
full work available at URL: https://doi.org/10.1007/bf01090988
OpenAlex ID: W2091779927
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description: scientific article; zbMATH DE number 3898538