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Precursor ionization effects on magnetohydrodynamic switch-on shock structure

Published online by Cambridge University Press:  13 March 2009

Martin I. Hoffert
Affiliation:
Riverside Research Institute, 632 West 125 Street, New York, New York 10027

Abstract

The influence of shock-induced precursor ionization on the steady-state structure of switch-on shock waves with non-equilibrium ionization and radiation is examined theoretically. A single-temperature monatomic gas is assumed, together with a Clarke–Ferrari model for photoionization of the upstream gas. It is found that the effect of the precursor depends in general on the ratio of a characteristic precursor length to a characteristic magnetic interaction length. For the slightly ionized case treated in some detail, this ratio is much greater than unity, indicating a precursor-independence for the magnetohydrodynamic shock structure.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1970

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References

REFERENCES

Bleviss, Z. O. 1960 J. Fluid Mech. 9, 49.CrossRefGoogle Scholar
Clarke, J. H. & Ferrari, C. 1965 Phys. Fluids 8, 2121.CrossRefGoogle Scholar
Devoto, R. S. 1967 Phys. Fluids 10, 354.CrossRefGoogle Scholar
Gross, R. A. 1965 Rev. Mod. Phys. 37, 724.CrossRefGoogle Scholar
Hoffert, M. I. 1968 Phys. Fluids 11, 77.CrossRefGoogle Scholar
Hoffert, M. I. & Lien, H. 1967 Phys. Fluids 10, 1769.CrossRefGoogle Scholar
Leonard, B. P. 1969 a Personal communication.Google Scholar
Leonaro, B. P. 1969 b Phys. Fluids 12, 1816.CrossRefGoogle Scholar
Levine, L. S. 1968 Phys. Fluids 11, 1479.CrossRefGoogle Scholar
Nelson, H. F. & Goulard, R. 1969 Phys. Fluids 12, 1605.CrossRefGoogle Scholar
Perona, G. E. & Axford, W. I. 1968 Phys. Fluids 11, 294.CrossRefGoogle Scholar
Rustgi, O. P. 1964 J. Opt. Soc. Am. 54, 464.CrossRefGoogle Scholar
Taussig, R. T. 1965 Phys. Fluids 8, 1616.CrossRefGoogle Scholar
Taussig, R. T. 1966 Phys. Fluids 9, 421.CrossRefGoogle Scholar
Vincenti, W. G. & Kruger, C. H. 1965 Introduction to Physical Gas Dynamics, p.497. New York: John Wiley and Sons.Google Scholar
Vuilkiet, W. G. 1968 Phys. Fluids 11, 1377.Google Scholar
Zel'dovich, Ya. B. & Raizer, YU. P. 1966 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, vol. 1, pp. 386406.New York: Academic Press.Google Scholar