Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-26T00:26:53.075Z Has data issue: false hasContentIssue false
  • English
  • Français

Time and space scales of electrical and gasdynamic non-uniformities in a non-equilibrium MHD plasma

Published online by Cambridge University Press:  13 March 2009

A. Yu. Sokolov ,
S. Kabashima  and
V. M. Zubstov
A. Yu. Sokolov
Affiliation:
Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226, Japan
S. Kabashima
Affiliation:
Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226, Japan
V. M. Zubstov
Affiliation:
Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The Saha equilibrium approximation and the temperature relaxation approximation to the MHD equations are investigated with regard to the analysis of the formation of nonlinear ionization non-uniformities and their evolution in a non- equilibrium MHD plasma. An analysis of characteristic relaxation times under typical plasma parameters is carried out to verify these approximations. Characteristic space scales of electron thermal conductivity and radiation are evaluated. These space scales determine the characteristic width of nonlinear ionization wave fronts, and are important for the application of numerical simulations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 54 , Issue 1 , August 1995 , pp. 105 - 118
Copyright
Copyright © Cambridge University Press 1995

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

REFERENCES

Abramov, V. A. & Tarasov, Yu. A. 1964 High Temperature 2, 142.Google Scholar
Baldwin, B. & Lomax, H. 1978 AIAA J. 78, 257.Google Scholar
Boris, J. P. & Book, D. L. 1973 J. Comp. Phys. 11, 38.CrossRefGoogle Scholar
Griem, H. R. 1964 Plasma Spectroscopy. McGraw-Hill.Google Scholar
Hara, T., Veefkind, A. & Rietjens, L. H. TH. 1982 AIAA J. 20. 1473.CrossRefGoogle Scholar
Harada, N., Suekane, T., Tsunoda, K., Okamura, T., Yoshikawa, K., Yamasaki, H., Kabashima, S., Shioda, S., Hasegawa, V., Ikeda, S., Douzono, V. & Ishimura, M. 1992 Proceedings of 11th international Conference on MHD Power Generation, Beijing, 12–16 October 1992, Vol. 4 (ed. Bozhong, Gu.), p. 1153. International Academic Publishers, Beijing.Google Scholar
Hinnov, K., & HirschberG, J. O. 1962 Phys. Rev. 125, 795.CrossRefGoogle Scholar
Kerrebrock, J. L. 1964 AIAA J. 2, 1072.CrossRefGoogle Scholar
Kruger, C. H., Mitchner, M. & Daybelge, U. 1968 AIAA J. 6, 1712.Google Scholar
Lengyel, L. L. 1970 Proceedings of 11th Symposium on Engineering Aspects of MHD, California institute of Technology, 24–26 March 1970 (ed. Elliott, D.G.), p. 193. California Institute of Technology/Jet Propulsion Laboratory, Pasadena.Google Scholar
Lutz, M. A. 1967 AIAA J. 5, 1416.CrossRefGoogle Scholar
Nedospasov, A. V. 1968 Soviet Phys. Usp. 11, 174.CrossRefGoogle Scholar
Nelson, A. H. & Haines, M. G. 1969 Plasma Phys. 11, 811.CrossRefGoogle Scholar
Numano, M. 1976 Plasma Phys. 18, 59.CrossRefGoogle Scholar
Rosa, R. J. 1968 Magnetohydrodynamic Energy Conversion. McGraw-Hill, New York.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory, 7th edn, pp. 140, 638. McGraw-Hill, New York.Google Scholar
Simpson, S. W 1990 J. Phys. D: Appl. Phys. 22, 1161.CrossRefGoogle Scholar
Uncles, R. J. 1973 Plasma Phys. 15, 1053.CrossRefGoogle Scholar
Uncles, R. J. 1974 Plasma Phys. 16, 947.CrossRefGoogle Scholar
Uncles, R. J. 1975 Energy Conversion 14, 103.CrossRefGoogle Scholar
Velikhov, H. P., Dykhne, A. M. & Shipuk, I. YA. 1965 Proceedings of 7th International Conference on Phenomena in lonized Gases, Belgrade, 22–27 August 1965, Vol. II (ed. Perovié, B. & Tošić, D.), p. 675. Grad¯evinska Knjiga Publishing House, Belgrade.Google Scholar
Wilkins, M. L. 1980 J. Comp. Phys. 36, 281.CrossRefGoogle Scholar
Yee, H. C. 1987 Upwind and symmetric shock-capturing schemes. Nasa Technical Memorandum 89 464.Google Scholar
Yabe, T. & Aoki, T. 1991 Comp. Phy. Commun. 66, 219–232.CrossRefGoogle Scholar
Zalesak, S. T. 1979 J Comp. Phys. 31, 335.CrossRefGoogle Scholar