Skip to main content
Log in

Model of pulsed electric discharge expansion in dense gas taking into account electron and radiative thermal conductivities. II. Energy balance and equation

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

Abstract

Based on the mechanism of pulsed electric discharge expansion in dense gas (at atmospheric pressure and above), an equation for the discharge channel radius was derived from the discharge energy balance, taking into account expenditures for ionization of gas involved in the discharge, Joule heating of plasma, and the discharge work against the ambient gas pressure. For the initial stage of the development of such discharge, a solution to this equation was obtained, which is in agreement with experimental data within the measurement error.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. I. Drabkina, Zh. Eksp. Teor. Fiz. 21, 473 (1951).

    Google Scholar 

  2. G. G. Dolgov and S. L. Mandelstam, Zh. Eksp. Teor. Fiz. 24, 691 (1953).

    Google Scholar 

  3. K. S. Vulfson and I. S. Libin, Zh. Eksp. Teor. Fiz. 21, 510 (1951).

    Google Scholar 

  4. N.M. Gegechkori, Zh. Eksp. Teor. Fiz. 21, 493 (1951).

    Google Scholar 

  5. S. I. Braginskii, Zh. Eksp. Teor. Fiz. 34, 1548 (1958).

    Google Scholar 

  6. M.P. Vanyukov and A. A. Mak, Usp. Fiz. Nauk 66, 301 (1958).

    Google Scholar 

  7. F. A. Chernaya, Opt. Spektrosk. 4, 725 (1958).

    Google Scholar 

  8. M. P. Vanyukov, A. A. Mak, and A. I. Sadykova, Dokl. Akad. Nauk SSSR 135, 557 (1960).

    Google Scholar 

  9. Electrical Explosion of Conductors, Vol. 1–2, Ed. by A. A. Rukhadze and I. S. Shpigel (Mir, Moscow, 1965), p. 98 [in Russian].

    Google Scholar 

  10. N. G. Basov, B. L. Borovich, V. S. Zuev, et al., Zh. Tekh. Fiz. 38, 2079 (1968).

    Google Scholar 

  11. H. Fisher and W. Schwanzer, Appl. Opt. 8, 697 (1969).

    Article  ADS  Google Scholar 

  12. A. F. Aleksandrov, A. A. Rukhadze, et al., Kratkie Soobshcheniya po Fizike FIAN, No. 8, 72 (1970).

  13. N. G. Basov, B. L. Borovich, V. B. Rozanov, V. S. Zuev, et al., Zh. Tekh. Fiz. 40, 516 (1970).

    Google Scholar 

  14. K. Volrate, in Physics of Fast Processes (Mir, Moscow, 1971), Vol. 1, p. 98 [in Russian].

    Google Scholar 

  15. A. F. Aleksandrov, S. P. Kurdyumov, Yu. P. Popov, et al., Zh. Eksp. Teor. Fiz. 61, 1841 (1971).

    Google Scholar 

  16. I. V. Podmoshenskii, A. M. Pukhov, and A. V. Yakovleva, Zh. Priklad. Spektr. 19, 624 (1973) [J. Appl. Spectrosc. 19, 1280 (1973)].

    Google Scholar 

  17. B. L. Borovich, V. S. Zuev, A. V. Startsev, et al., Kvant. Elektron. 1, 2275 (1974).

    Google Scholar 

  18. A. S. Andreev and B. I. Orlov, Zh. Tekh. Fiz. 35, 1411 (1965).

    Google Scholar 

  19. A. F. Aleksandrov and A. A. Rukhadze, Usp. Fiz. Nauk 112, 194 (1974).

    Google Scholar 

  20. S. I. Barannik, S. B. Vasserman, and A. N. Lukin, Zh. Tekh. Fiz. 44, 2352 (1974).

    Google Scholar 

  21. A. F. Aleksandrov and A. A. Rukhadze, Physics of High-Current Electric-Discharge Light Sources (Atomizdat, Moscow, 1976) [in Russian].

    Google Scholar 

  22. Yu. K. Bobrov, Zh. Tekh. Fiz. 44, 2340 (1974).

    Google Scholar 

  23. I. S. Marshak, A. S. Dvoinikov, V. P. Kirsanov, et al., Pulsed Light Sources, Ed. by I. S. Marshak (Energiya, Moscow, 1978) [in Russian].

    Google Scholar 

  24. B. L. Borovich, V. B. Rozanov, V.S. Zuev, et al., “High-Current Radiative Discharges and Optically Pumped Gas Lasers,” in Itogi Nauki i Tekhniki, Ser. Radiotekhnika (VINITI, Moscow, 1978), p. 79 [in Russian].

    Google Scholar 

  25. A. A. Volosevich, V. Ya. Gol’din, N. I. Kalitkin, et al., Preprint No. 40 (Keldysh Institute of Applied Mathematics, Moscow, 1970).

    Google Scholar 

  26. Yu. K. Bobrov, V. V. Vikhrev, and I. I. Fedotov, Fiz. Plazmy 14, 1222 (1988).

    Google Scholar 

  27. S. N. Kolgatkin, Zh. Tekh. Fiz. 65, 10 (1995).

    Google Scholar 

  28. U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN 36(8), 42 (2009) [Bulletin of the Lebedev Physics Institute, 36, 239 (2009)].

    Google Scholar 

  29. Ya. B. Zeldovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

  30. A. A. Samarskii and Yu. P. Popov, Difference Methods for Solving Gas Dynamic Problems (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

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

  32. U. Yusupaliev and V.M. Fadeev, Prikl. Fiz., No. 6, 12 (2006).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © U. Yusupaliev, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 8, pp. 44–54.

About this article

Cite this article

Yusupaliev, U. Model of pulsed electric discharge expansion in dense gas taking into account electron and radiative thermal conductivities. II. Energy balance and equation. Bull. Lebedev Phys. Inst. 36, 245–251 (2009). https://doi.org/10.3103/S1068335609080065

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335609080065

Keywords

Navigation