0
RESEARCH PAPERS

Nonlinear Breaking of Wave Fronts in a Vibrationally Relaxing Gas

[+] Author and Article Information
R. Shyam, V. D. Sharma, V. V. Menon

Applied Mathematics Section, Institute of Technology, Banaras Hindu University, Varanasi 221005, India

J. Appl. Mech 49(1), 10-12 (Mar 01, 1982) (3 pages) doi:10.1115/1.3161950 History: Received June 01, 1980; Revised May 01, 1981; Online July 21, 2009

Abstract

Using the method of characteristics, some explicit criteria for the nonlinear breaking of wave fronts in a plane, cylindrically or spherically symmetric flows of a vibrationally relaxing gas are obtained. It is shown that except a spherically converging compressive wave, all compressive waves break only when the initial discontinuity at the wave-head exceeds a critical value, and the effects of vibrational relaxation and that of the wave front curvature are to increase the time of their breaking. It is found that the stabilizing influences of vibrational relaxation and that of the wave front curvature are not strong enough to overcome the breaking tendency of a spherically converging compressive wave; in fact, in contrast to a cylindrically converging wave, it always breaks down before the formation of a focus, no matter how small be the initial discontinuity at the wave-head.

Copyright © 1982 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 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