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Bulletin of the Lebedev Physics Institute

, Volume 35, Issue 4, pp 122–129 | Cite as

Multiparameter dimensionless complex determining the compression dynamics of a cylindrically symmetric Z-pinch in a gas

  • U. Yusupaliev
Article

Abstract

For the initial compression stage of a cylindrically symmetric Z-pinch in a gas, on the basis of the energy balance of the discharge we derived a dimensionless equation of the relative radius of its plasma cord, containing a generalized variable, i.e., a multiparameter complex Ξ which determines the discharge compression dynamics and is a result of generalization of experimental data. It is shown that the experimental dependence of the relative plasma cord maximum temperature on the complex Ξ has a tendency to saturation, which is due to the rapid increase in Z-pinch radiation intensity in deuterium upon cord compression.

Keywords

Deuterium LEBEDEV Physic Institute Discharge Chamber Plasma Layer Thermonuclear Reaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. Klein, Similarity and Approximate Methods (Mir, Moscow, 1968) [in Russian].Google Scholar
  2. 2.
    V. M. Minakovskii, Generalized Variables in the Transport Theory (Vishcha shkola, Kiev, 1978) [in Russian].Google Scholar
  3. 3.
    S. S. Kutateladze, Analysis of Similarity and Physical Models (Nauka, Novosibirsk, 1986) [in Russian].Google Scholar
  4. 4.
    U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN, No. 9, 42 (2005) [Bulletin of the Lededev Physics Institute, No. 9, 34 (2005)].Google Scholar
  5. 5.
    U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN, No. 12, 45 (2005) [Bulletin of the Lebedev Physics Institute, No. 12, 37 (2005)].Google Scholar
  6. 6.
    S. I. Braginskii, I. M. Gelfand, and R. P. Fedorenko, “Theory of Compression and Pulsations of Plasma Column in a High-power Plasma Discharge”, in: Plasma Physics and Problems of Controlled Thermonuclear Reactions (AN SSSR, Moscow, 1958), Vol. 4, p. 201 [in Russian].Google Scholar
  7. 7.
    V. V. Vikhrev and S. I. Braginskii, “Z-pinch Dynamics”, in: Problems of Plasma Theory, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1980), No. 10, p. 241 [in Russian].Google Scholar
  8. 8.
    V. S. Imshennik and N. A. Bobrova. Dynamics of Collisional Plasma (Energoatomizdat, Moscow, 1977) [in Russian].Google Scholar
  9. 9.
    M. A. Leontovich and S. M. Osovets, Atomnaya Energiya 3, 81 (1956).Google Scholar
  10. 10.
    A. M. Andrianov, O. A. Bazilevskaya, and Yu. G. Prokhorov, “Study of Pulsed Discharges in Gases for Current Strength of 500 kA”, in: Plasma Physics and Problems of Controlled Thermonuclear Reactions (AN SSSR, Moscow, 1958), Vol. 2, p. 185 [in Russian].Google Scholar
  11. 11.
    L. A. Artsimovich, Controlled Thermonuclear Reactions (Fizmatgiz, Moscow, 1961; Gordon and Breach, New York, 1964).Google Scholar
  12. 12.
    A. M. Andrianov, O. A. Bazilevskaya, and Yu. G. Prokhorov, “Study of Pulsed Discharges in Deuterium with Current Increase Rate up to 1012 A/s and Voltages up to 120 kV”, in: Plasma Physics and Problems of Controlled Thermonuclear Reactions (AN SSSR, Moscow, 1958), Vol. 4, p. 182 [in Russian].Google Scholar
  13. 13.
    V. S. Komelkov, Zh. Eksp. Teor. Fiz. 35, 16 (1958).Google Scholar
  14. 14.
    V. S. Komel’kov, T. I. Morozova, and Yu. V. Skvortsov, in: Plasma Physics and Problems of Controlled Thermonuclear Reactions (AN SSSR, Moscow, 1958), Vol. 2, p. 182 [in Russian].Google Scholar
  15. 15.
    A. F. Aleksandrov, A. T. Savichev, O. I. Surov, et al., Fiz. Plazmy 4, 1390 (1978).Google Scholar
  16. 16.
    A. F. Aleksandrov, A. T. Savichev, O. I. Surov, et al., Fiz. Plazmy 5, 184 (1979).Google Scholar
  17. 17.
    A. F. Aleksandrov, O. V. Karpov, G. D. Petrov, et al., Fiz. Plazmy 16, 1134 (1978).Google Scholar
  18. 18.
    V. I. Artamonov, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 1981).Google Scholar
  19. 19.
    Yu. S. Gvaladze, Candidate’s Dissertation in Mathematics and Physics (Sukhum. Phys. Techn. Inst., Sukhumi, 1972).Google Scholar
  20. 20.
    A. F. Aleksandrov and A. A. Rukhadze, Physics of High-current Electric-discharge Light Sources (Atomizdat, Moscow, 1976).Google Scholar
  21. 21.
    B. L. Borovich, V. B. Rozanov, V. S. Zuev, et al., in: High-current Radiating Discharges and Optically Pumped Gas Lasers, Itogi nauki i tekhniki, Ser. Radiotekh. (VINITI, Moscow, 1978), Vol. 15, p. 296 [in Russian].Google Scholar
  22. 22.
    Radiation Plasmadynamics (Energoatomizdat, Moscow, 1991), Vol. 1.Google Scholar
  23. 23.
    Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-temperature Hydrodynamic Phenomena (Nauka, Moscow, 1966).Google Scholar
  24. 24.
    I. V. Kurchatov, Atomnaya Energiya 3, 65 (1955).Google Scholar
  25. 25.
    A. A. Samarskii and Yu. P. Popov, Difference Methods of the Solution of Gas-dynamical Problems (Nauka, Moscow, 1980).Google Scholar
  26. 26.
    V. V. Aleksandrov, A. I. Gorlanov, N. G. Kovalskii, et al., “Can Z-pinch be Used as a Standard Radiation Source in Vacuum UV?”, in: Plasma Diagnostics (Atomizdat, Moscow, 1973), No. 3, p. 80.Google Scholar

Copyright information

© Allerton Press, Inc. 2008

Authors and Affiliations

  • U. Yusupaliev
    • 1
  1. 1.Prokhorov General Physics InstituteRussian Academy of SciencesMoscowRussia

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