0
RESEARCH PAPERS

The Squeezing of a Fluid Between Two Plates

[+] Author and Article Information
C.-Y. Wang

Department of Mathematics, Michigan State University, East Lansing, Mich.

J. Appl. Mech. 43(4), 579-583 (Dec 01, 1976) (5 pages) doi:10.1115/1.3423935 History: Received September 01, 1975; Revised April 01, 1976; Online July 12, 2010

Abstract

A viscous fluid lies between two parallel plates which are being squeezed or separated. If the normal velocity is proportional to (1 − αt)−1/2 the unsteady Navier-Stokes equations admit similarity solutions. The resulting nonlinear ordinary differential equation is governed by a parameter S which characterizes unsteadiness. Asymptotic solutions for small S and for large positive S are found which compare well with those obtained by numerical integration. It is found that the resistance is proportional to (1 − αt)−2 but is not necessarily opposite to the direction of motion.

Copyright © 1976 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

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 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