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Comparison of exact and approximate methods for analysing vibrational relaxation regions

Published online by Cambridge University Press:  28 March 2006

P. A. Blythe
Affiliation:
Department of the Mechanics of Fluids, The University of Manchester

Abstract

The validity of various solutions for the vibrational relaxation region in shock-waves, and of the assumptions on which they are based, has been assesed by comparison with an exact solution obtained by numerical integration of the relaxation equation, and also by use of the Rayleigh-line equations. Estimates of errors in the values of the relaxation frequency, determined by means of these solutions, are given.

Type
Research Article
Copyright
© 1961 Cambridge University Press

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References

Bethe, H. A. & Teller, E. 1941 Deviations from Thermal Equilibrium in Shock-Waves. Cornell University.
Blackman, V. H. 1956 J. Fluid Mech. 1, 61.
Broer, L. J. F. 1951 Appl. Sci. Res. A, 2, 447.
Greenspan, W. D. & Blackman, V. H. 1957 Bull. Amer. Phys. Soc. 2, 217.
Griffith, W. C. & Kenney, A. 1957 J. Fluid Mech. 3, 286.
Gunn, J. C. 1946 Aero Res. Coun., Rep. & Mem. no. 2338.
Herman, R. & Rubin, R. J. 1959 Phys. Fluids, 2,547.
Herzfeld, K. F. 1955 Section H of Thermodynamics and Physics of Matter (Vol. 1 of High Speed Aerodynamics and Jet Propulsion). Princeton University Press.
Johannesen, N. H. 1961 J. Fluid Mech. 10, 25.
Lighthill, M. J. 1956 Article in Surveys in Mechanics, p. 250. Cambridge University Press.
Smiley, E. F. & Winkler, E. H. 1954 J. Chem. Phys. 22, 1018.