0
Technical Briefs

The Influence of Slip Boundary Conditions on Peristaltic Pumping in a Rectangular Channel

[+] Author and Article Information
X. Mandviwalla, R. Archer

Department of Engineering Science, The University of Auckland, Private Bag 92019, Auckland 1001, New Zealand

ϕ=b/a, where b is the amplitude of the peristaltic wave and a is the height of the channel.

β=a/d where a is the height of the channel and d is half the width of the channel.

J. Fluids Eng 130(12), 124501 (Oct 24, 2008) (5 pages) doi:10.1115/1.3001107 History: Received April 02, 2008; Revised September 16, 2008; Published October 24, 2008

The flow of an incompressible fluid is modeled in a channel of a rectangular cross section with two symmetric peristaltic waves propagating on the top and bottom. A low Reynolds number and a long wavelength are assumed. The effect on pumping of the inclusion of slip boundary conditions on the side walls is investigated.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 4

A blow-up of the intercept for the solution ϕ=0.2 and β=1

Grahic Jump Location
Figure 3

Plots (a)–(c) relate the pressure drop (Δp) and the average flux (Q) for varying nondimensional slip lengths (lSlip=0,0.2,0.4,0.6). All plots solve for a channel with a square cross section in x-z(β=1). (a) Plots ϕ=0, which result in a Poiseuille flow as no peristaltic wave is present, (b) plot results with ϕ=0.4, and (c) plot results with ϕ=0.8.

Grahic Jump Location
Figure 2

(a) Shows a solution involving a nondimensional slip length of 0.5 for the side walls and (b) shows a no-slip solution. ϕ=0.6 and β=1 for both solutions.

Grahic Jump Location
Figure 1

An illustration of the model geometry

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In