Departmental Papers (MEAM)

Document Type

Journal Article

Date of this Version

September 2001

Comments

Copyright (2004) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. Reprinted from Physics of Fluids, Volume 14, Issue 1, February 2004, pages 184-197.
Publisher URL: http://dx.doi.org/10.1063/1.1425841

Abstract

We consider incompressible, viscous fluid confined in a rectangular cavity. Both the bottom and top walls are made of thin membranes. Traveling waves with the same amplitude and frequency but opposite phase are transmitted in these membranes and induce peristaltic motion in the fluid. The induced velocity profiles are determined analytically for small-amplitude waves (ε) and numerically for waves of any amplitude. The analysis consists of a perturbation expansion in terms of the wave amplitude (ε) up to O(ε²). Solutions for large-amplitude oscillations are obtained through the use of a finite element code that employs a moving grid. The numerical code is verified by critically comparing the simulations' predictions with analytical results.

Keywords

peristaltic flow, finite element analysis, vibrations, fluid oscillations, confined flow

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Date Posted: 22 October 2007

This document has been peer reviewed.