The Influence of Pipe Motion on Acoustic Wave Propagation

[+] Author and Article Information
S. Stuckenbruck

Mechanical Engineering Department, Pontificia Universidade Catolica, Rio de Janerio, Brasil

D. C. Wiggert

Department of Civil and Sanitary Engineering, Michigan State University, East Lansing, Mich.

R. S. Otwell

McNamee, Porter and Seeley, Ann Arbor, Mich.

J. Fluids Eng 107(4), 518-522 (Dec 01, 1985) (5 pages) doi:10.1115/1.3242523 History: Received September 04, 1984; Online October 26, 2009


It is well known that the magnitude of the acoustic wavespeed in piping is influenced by properties of the fluid and the pipe material. Traditionally, derivations have been based on a quasi-static control volume model, where the pipe deformation takes place in the time the liquid acoustic wave travels a known distance along the pipe. In actuality, dilation of the piping causes axial stress waves to propagate along the pipe wall at speeds greater than that of the acoustic wave. Such axial coupling between the liquid and piping has been reported by several investigators, including Walker and Phillips [4 ], who developed a six-equation model with a three-wave family—radial and axial stress, and axial liquid. In the present study Walker and Phillips’ model is simplified to a four-equation one by neglecting radial inertia, a valid assumption for many practical piping system transients. An eigenvalue analysis of the hyperbolic relations reveals two axial waves—in the liquid and in the pipe wall—which are modified by the coupling action. The traditional wave speed formulations with varied coupling constraints are reviewed in light of the present development. Numerical examples are presented which show the effects of such interaction for various combinations of liquid and piping.

Copyright © 1985 by ASME
Your Session has timed out. Please sign back in to continue.





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