Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T20:44:24.709Z Has data issue: false hasContentIssue false

Analysis of vibrational relaxation regions by means of the Rayleigh-line method

Published online by Cambridge University Press:  28 March 2006

N. H. Johannesen
Affiliation:
Department of the Mechanics of Fluids, The University of Manchester

Abstract

The physics of shock-waves with vibrational relaxation regions is recapitulated, and it is shown that exact methods of analysis can be developed from the classical Rayleigh-line equations by treating the real gas as an ideal gas with heat transfer. By using these methods to analyse experimental records of density distributions in relaxation regions, a large number of local values of the relaxation frequency, rather than a single over-all value, may be obtained from each shock-wave record.

Type
Research Article
Copyright
© 1961 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bethe, H. & Teller, E. 1941 Deviations from Thermal Equilibrium in Shock-Waves. Cornell University.
Blythe, P. A. 1961 Comparison of exact and approximate methods for analysing vibrational relaxation regions. J. Fluid Mech. 10, 33.Google Scholar
Gunn, J. C. 1946 Relaxation time effects in gas dynamics. Aero. Res. Counc., Rep. & Mem. no. 2338.Google Scholar
Herzfeld, K. F. 1955 Relaxation phenomena in gases. Section H of Thermodynamics and Physics of Matter (Vol. 1 of High Speed Aerodynamics and Jet Propulsion). Princeton University Press.
Landau, L. & Teller, E. 1936 Zur Theorie der Schalldispersion. Phys. Z. Sowjet. 10, 34.Google Scholar
Lighthill, M. J. 1956 Viscosity in waves of finite amplitude. Article in Surveys in Mechanics. Cambridge University Press.
Shapiro, A. H. 1953 The Dynamics and Thermodynamics of Compressible Fluid Flow. Ronald Press.
Zucrow, M. J. 1958 Aircraft and Missile Propulsion, Vol. 1. John Wiley and Sons.