Hostname: page-component-cb9f654ff-k7rjm Total loading time: 0 Render date: 2025-09-06T14:03:02.371Z Has data issue: false hasContentIssue false
  • English
  • Français

On self-similar motions in Z-pinch dynamics

Published online by Cambridge University Press:  13 March 2009

A. B. Bud'ko  and
M. A. Liberman
A. B. Bud'ko
Affiliation:
Institute for Physical Problems, Academy of Sciences, Kosygina st.2, Moscow 117334, U.S.S.R.
M. A. Liberman
Affiliation:
Institute for Physical Problems, Academy of Sciences, Kosygina st.2, Moscow 117334, U.S.S.R.
Get access Rights & Permissions [Opens in a new window]

Abstract

New self-similar solutions of the MHD equations for the dynamics of a high-density plasma in a linear Z-pinch are derived, taking into account the finite electric conductivity of the plasma. In a number of particular cases the self-similar solutions obtained are expressed in simple analytic form. Radial distributions of the MHD variables in the self-similar profiles show that during current heating and plasma expansion regimes with essential plasma heating on the pinch boundary are possible both with decrease and concentration of the current density on the outer pinch boundary.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 42 , Issue 2 , October 1989 , pp. 205 - 213
Copyright
Copyright © Cambridge University Press 1989

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

Alexandrov, A. F., Savichev, A. T., Surov, O. J. & Timofeev, J. B. 1979 Fiz. Plazmy, 5, 184.Google Scholar
Artamonov, V. I. & Timofeev, J. B. 1983 Fiz. Plazmy, 9, 951.Google Scholar
Barenblatt, G. I. 1979 Similarity, Self-Similarity and Intermediate Asymptotics. Consultants Bureau, New York.CrossRefGoogle Scholar
Braginskii, S. I. 1963 Problems of Plasma Physics, vol. 1, p. 183. Atomizdat, Moscow.Google Scholar
Felber, F. S. 1982 Phys. Fluids, 25, 643.CrossRefGoogle Scholar
Felber, F. S., Liberman, M. A. & Velikovich, A. L. 1986 Magnetic flux compression by plasma liners. Proceedings of 4th International Conference on Megagauss Magnetic Field Generation and Related Topics, Santa Fe, U.S.A.Google Scholar
Kulikovskii, A. G. 1957 Dokl. Akad. Nauk SSSR, 114, 984.Google Scholar
Liberman, M. A. & Velikovich, A. L. 1986 Nucl. Fusion, 26, 709.CrossRefGoogle Scholar
Liberman, M. A. & Velikovich, A. L. 1986 Physics of Shock Waves in Gases and Plasmas. Springer.CrossRefGoogle Scholar
Scudder, D. W. 1987 Experiments on high density Z-pinches formed from solid deuterium fibers. Los Alamos National Laboratory Report CTR-DOT, MS F 640.Google Scholar
Sethian, I. D. et al. 1987 Phys. Rev. Lett. 59, 892.CrossRefGoogle Scholar