Skip to main content
SpringerLink
Log in

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

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Klein, Similarity and Approximate Methods (Mir, Moscow, 1968) [in Russian].

    Google Scholar 

  2. V. M. Minakovskii, Generalized Variables in the Transport Theory (Vishcha shkola, Kiev, 1978) [in Russian].

    Google Scholar 

  3. S. S. Kutateladze, Analysis of Similarity and Physical Models (Nauka, Novosibirsk, 1986) [in Russian].

    Google Scholar 

  4. U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN, No. 9, 42 (2005) [Bulletin of the Lededev Physics Institute, No. 9, 34 (2005)].

  5. U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN, No. 12, 45 (2005) [Bulletin of the Lebedev Physics Institute, No. 12, 37 (2005)].

  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. 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. V. S. Imshennik and N. A. Bobrova. Dynamics of Collisional Plasma (Energoatomizdat, Moscow, 1977) [in Russian].

    Google Scholar 

  9. M. A. Leontovich and S. M. Osovets, Atomnaya Energiya 3, 81 (1956).

    Google Scholar 

  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. L. A. Artsimovich, Controlled Thermonuclear Reactions (Fizmatgiz, Moscow, 1961; Gordon and Breach, New York, 1964).

    Google Scholar 

  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. V. S. Komelkov, Zh. Eksp. Teor. Fiz. 35, 16 (1958).

    Google Scholar 

  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. A. F. Aleksandrov, A. T. Savichev, O. I. Surov, et al., Fiz. Plazmy 4, 1390 (1978).

    Google Scholar 

  16. A. F. Aleksandrov, A. T. Savichev, O. I. Surov, et al., Fiz. Plazmy 5, 184 (1979).

    Google Scholar 

  17. A. F. Aleksandrov, O. V. Karpov, G. D. Petrov, et al., Fiz. Plazmy 16, 1134 (1978).

    Google Scholar 

  18. V. I. Artamonov, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 1981).

    Google Scholar 

  19. Yu. S. Gvaladze, Candidate’s Dissertation in Mathematics and Physics (Sukhum. Phys. Techn. Inst., Sukhumi, 1972).

    Google Scholar 

  20. A. F. Aleksandrov and A. A. Rukhadze, Physics of High-current Electric-discharge Light Sources (Atomizdat, Moscow, 1976).

    Google Scholar 

  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. Radiation Plasmadynamics (Energoatomizdat, Moscow, 1991), Vol. 1.

  23. Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-temperature Hydrodynamic Phenomena (Nauka, Moscow, 1966).

    Google Scholar 

  24. I. V. Kurchatov, Atomnaya Energiya 3, 65 (1955).

    Google Scholar 

  25. A. A. Samarskii and Yu. P. Popov, Difference Methods of the Solution of Gas-dynamical Problems (Nauka, Moscow, 1980).

    Google Scholar 

  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 

Download references

Author information

Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    U. Yusupaliev

Authors
  1. U. Yusupaliev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © U. Yusupaliev, 2008, published in Kratkie Soobshcheniya po Fizike, 2008, Vol. 35, No. 4, pp. 43–54.

About this article

Cite this article

Yusupaliev, U. Multiparameter dimensionless complex determining the compression dynamics of a cylindrically symmetric Z-pinch in a gas. Bull. Lebedev Phys. Inst. 35, 122–129 (2008). https://doi.org/10.3103/S1068335608040076

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335608040076

Keywords

Search

Navigation