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Shock waves in a gas with several relaxing internal energy modes

Published online by Cambridge University Press:  28 March 2006

John F. Clarke
Affiliation:
College of Aeronautics, Cranfield, Bedfordshire
J. B. Rodgers*
Affiliation:
College of Aeronautics, Cranfield, Bedfordshire
*
Present address: R.A.F. Technical College, Henlow, Beds.

Extract

The structure of plane steady shock waves in a gas with several internal energy modes which relax in parallel is investigated. Transport effects are neglected. Conditions for continuity and monotonicity of the velocity profile are discussed; when all modes have constant specific heats and relaxation times it is established that velocity must decrease monotonically. Internal mode energy contents may overshoot their local equilibrium values.

Numerical results for waves in a hypothetical gas with two relaxing modes are presented for purposes of illustration.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1965

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References

Blythe, P. A. 1963 Aero. Res. Counc., Lond., Current Paper, no. 645.Google Scholar
Clarke, J. F. & McChesney, M. 1964 The Dynamics of Real Gases. London: Butter-worths.CrossRefGoogle Scholar
Herzfeld, K. F. & Litovitz, T. A. 1959 Absorption and Dispersion of Ultrasonic Waves. New York: Academic Press.CrossRefGoogle Scholar
Johannesen, N. H. 1961 J. Fluid Mech. 10, 25.Google Scholar
Lighthill, M. J. 1956 Surveys in Mechanics, ed. Batchelor, & Davies, . Cambridge University Press.Google Scholar
Scala, S. M. & Talbot, L. 1963 Rarefied Gas Dynamics, vol. I, 3rd Symposium, ed. Laurmann, . New York: Academic Press.Google Scholar