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The Effects of Vibrational Relaxation onHypersonic Flow Past Blunt Bodies

Published online by Cambridge University Press:  07 June 2016

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

The analysis of Freeman is extended to the hypersonic flow of an inviscid, vibrationally relaxing gas past a bluff body. Expressions for the shock shape, streamline shapes and stand-off distance are derived; these expressions have been evaluated for a sphere for various values of an appropriate non-equilibrium parameter Λ.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1997

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References

1. Freeman, N. C. On the Theory of Hypersonic Flow Past Plane and Axially Symmetric Bluff Bodies. Journal of Fluid Mechanics, Vol. 1, p. 366, 1956.CrossRefGoogle Scholar
2. Freeman, N. C. Non-Equilibrium Flow of an Ideal Dissociating Gas. Journal of Fluid Mechanics, Vol. 4, p. 407, 1958.CrossRefGoogle Scholar
3. Hayes, W. D. and Probstein, R. F. Hypersonic Flow Theory. Academic Press, New York, 1959.Google Scholar
4. Lick, W. Inviscid Flow of a Reacting Mixture of Gases Around a Blunt Body. Journal of Fluid Mechanics, Vol. 7, p. 128, 1960.CrossRefGoogle Scholar
5. Chester, W. Supersonic Flow Past a Bluff Body with a Detached Shock. Part I. Two-Dimensional Body. Journal of Fluid Mechanics, Vol. 1, p. 353, 1956. Supersonic Flow Past a Bluff Body with a Detached Shock. Part II. Axisymmetrical Body. Journal of Fluid Mechanics, Vol. 1, p. 490, 1956.CrossRefGoogle Scholar
6. van Dyke, M. D. A Model of Supersonic Flow Past Blunt Axisymmetric Bodies, with Application to Chester's Solution. Journal of Fluid Mechanics, Vol. 3, p. 515, 1958.CrossRefGoogle Scholar
7. Blythe, P. A. Ph.D. thesis. Manchester, 1961.Google Scholar
8. Blythe, P. A. Non-Equilibrium Flow of a Polyatomic Gas Through a Normal Shock Wave. A.R.C. 23, 893, 1962.Google Scholar
9. Johannesen, N. H. Analysis of Vibrational Relaxation Regions by Means of the Rayleigh-Line Method. Journal of Fluid Mechanics, Vol. 10, p. 25, 1961.CrossRefGoogle Scholar
10. Alpher, R. A. The Saha Equation and the Adiabatic Exponent in Shock Wave Calculations. Journal of Fluid Mechanics, Vol. 2, p. 123, 1957.CrossRefGoogle Scholar
11. Schwartz, R. N. and Eckermann, J. Shock Location of a Sphere as a Measure of Real Gas Effects. Journal of Applied Physics, Vol. 27, p. 169, 1956.CrossRefGoogle Scholar