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Effect of multiple ion reflections on the structure of an ion-sound shock wave

  • Gas Discharges, Plasmas
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Abstract

It is shown that multiple ion reflection, arising as a result of collisional dissipation, from a shock front can produce an ion-sound shock wave with an arbitrarily large Mach number. For an exponentially small number of reflected ions, the ion-sound shock wave “degenerates” into a collisionless quasishock wave. The comparative role of viscosity and sound dispersion with different initial nonisothermality of the plasma is discussed.

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References

  1. R. Z. Sagdeev, in Reviews of Plasma Physics, Vol. 4, edited by M. A. Leontovich [Consultants Bureau, New York, 1966, pp. 23–91; Atomizdat, Moscow, 1964, No. 4, pp. 4–83].

    Google Scholar 

  2. Plasma Electrodynamics, edited by A. I. Akhiezer [Pergamon Press, Oxford, 1975; Nauka, Moscow, 1974].

    Google Scholar 

  3. S. G. Alikhanov, V. G. Belan, G. N. Kichigan, and P. Z. Chebotaev, Zh. Éksp. Teor. Fiz. 60, 982 (1971) [Sov. Phys. JETP 33, 532 (1971)].

    Google Scholar 

  4. D. W. Forlund and J. P. Freiberg, Phys. Rev. Lett. 27, 1189 (1971).

    ADS  Google Scholar 

  5. V. M. Bardakov, A. G. Morozov, and I. G. Shukhman, Fiz. Plazmy 1(6), 955 (1975) [Sov. J. Plasma Phys. 1, 521 (1975)].

    Google Scholar 

  6. D. V. Sivukhin, in Reviews of Plasma Physics, Vol. 4, edited by M. A. Leontovich (Consultants Bureau, New York, 1966, pp. 93–241; Atomizdat, Moscow, 1964, No. 4, pp. 84–161].

    Google Scholar 

  7. A. F. Aleksandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya shkola, Moscow, 1987).

    Google Scholar 

  8. V. A. Pavlov, Fiz. Plazma 22(2), 182 (1996) [Plasma Phys. Rep. 22, 167 (1996)].

    Google Scholar 

  9. B. N. Gershman, L. M. Erkhumov, and Yu. Ya. Yashin, Wave Phenomena in the Ionosphere and Cosmic Plasma (Nauka, Moscow, 1984).

    Google Scholar 

  10. A. L. Velikovich and M. A. Liberman, The Physics of Shock Waves in Gases and Plasma (Nauka, Moscow, 1987).

    Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Fluid Mechanics [Pergamon Press, New York; Nauka, Moscow, 1987].

  12. V. G. Ledenev, Prikl. Mekh. Tekh. Fiz. 30(2), 17 (1990).

    Google Scholar 

  13. I. R. Smirnovskii Prikl. Mekh. Tekh. Fiz. 39(3), 14 (1998).

    MATH  MathSciNet  Google Scholar 

  14. C. Covault, Aviation Week and Space Technology 135(18), 18 (1991).

    Google Scholar 

Download references

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Authors and Affiliations

  1. Scientific-Research Institute of Radio Physics, St. Petersburg State University, 198904, St. Petersburg, Russia

    I. R. Smirnovskii

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  1. I. R. Smirnovskii
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Zh. Tekh. Fiz. 69, 52–56 (December 1999)

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Smirnovskii, I.R. Effect of multiple ion reflections on the structure of an ion-sound shock wave. Tech. Phys. 44, 1444–1448 (1999). https://doi.org/10.1134/1.1259536

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  • DOI: https://doi.org/10.1134/1.1259536

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