Advertisement

On Ring Waves on the Surface of a Conducting Liquid in an External Uniform Electrostatic Field and under Electrical Breakdown

  • S. O. Shiryaeva
  • A. I. Grigor’ev
  • K. I. Orlova
Article
  • 8 Downloads

Abstract

An expression is derived that relates the frequency of ring capillary and gravitational waves on the surface of the conducting liquid in an external uniform electrostatic field to the physical parameters and an analog of the wavenumber. It is shown that the obtained expression formally has the same appearance as the dispersion equation for plane waves; however, in the case under study, the wavenumber as a characteristic of ring waves has no sense due to the undefined concept of wavelength. The paper considers the possibility of attaining an electric discharge from the surface of the liquid charged in the external electrostatic field, when drops of the same liquid are falling on it.

Keywords

ring waves wavelength external uniform electrostatic field electric discharge 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Craye, C., Sobieski, P.V., Bliven, L.F., and Guissard, A., IEEE J. Ocean. Eng., 1999, vol. 24, no. 3, pp. 323–332.CrossRefGoogle Scholar
  2. 2.
    Kartashov, Ya.V., Visloukh, V.A., and Torner, L., Opt. Express, 2007, vol. 15, no. 24, pp. 16216–16221.CrossRefGoogle Scholar
  3. 3.
    Chashechkin, Yu.D. and Prokhorov, V.E., Dokl. Phys., 2013, vol. 58, no. 7, pp. 296–300.CrossRefGoogle Scholar
  4. 4.
    Ray, B., Biswas, G., and Sharm, A., J. Fluid Mech., 2015, vol. 768, pp. 492–523.CrossRefGoogle Scholar
  5. 5.
    van Hinsberg, N.P. and Charbonneau-Grandmaison, M., Phys. Rev. E, 2015, 92, pp. 1–12.Google Scholar
  6. 6.
    Chashechkin, Yu.D. and Prokhorov, V.E., J. Exp. Theor. Phys., 2016, vol. 122, no. 4, pp. 748–758.CrossRefGoogle Scholar
  7. 7.
    Grigor’ev, A.I., Tech. Phys., 2007, vol. 52, no. 2, pp. 173–182.CrossRefGoogle Scholar
  8. 8.
    Koshlyakov, N.S., Gliner, E.B., and Smirnov, M.A., Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki (Equations in Partial Derivatives of Mathematical Physics), Moscow: Vysshaya Shkola, 1970.Google Scholar
  9. 9.
    Kochin, N.E., Kibel’, I.A., and Roze, N.V., Teoreticheskaya mekhanika (Theoretical Mechanics), Moscow: Fizmatizdat, 1963, part 1.Google Scholar
  10. 10.
    Bezruchko, B.P., Dikanev, T.V., and Zakharevich, A.M., Gravitatsionno-kapillyarnye volny na poverkhnosti zhidkosti (Gravitational-Capillary Waves on the Surface of a Liquid), Saratov: Kolledzh, 2003.Google Scholar
  11. 11.
    Landau, L.D. and Lifshitz, E.M., Course of Theoretical Physics, Vol. 6: Fluid Mechanics, Oxford: Butterworth-Heinemann, 1959.Google Scholar
  12. 12.
    Sretenskii, L.N., Teoriya volnovykh dvizhenii zhidkosti (Theory of Wave Motions of a Fluid), Moscow: Nauka, 1977.Google Scholar
  13. 13.
    Cherkesov, L.V., Vvedenie v gidrodinamiku i teoriyu voln (Introduction to Hydrodynamics and Theory of Waves), St. Petersburg: Gidrometeoizdat, 1992Google Scholar
  14. 14.
    Brekhovskikh, L.M. and Goncharov, V.V., Vvedenie v mekhaniku sploshnykh sred (v prilozhenii k teorii voln) (Introduction to Mechanics of Solid Media Applied to the Wave Theory), Moscow: Nauka, 1982.Google Scholar
  15. 15.
    Landau, L.D. and Lifshitz, E.M., Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields, New York: Pergamon, 1971.Google Scholar
  16. 16.
    Tonks, L., Phys. Rev., 1935, vol. 48, pp. 562–568.CrossRefGoogle Scholar
  17. 17.
    Frenkel’, Ya.I., Zh. Eksp. Teor. Fiz., 1936, vol. 6, no. 4, pp. 348–350.Google Scholar
  18. 18.
    Grigor’ev, A.I., Tech. Phys., 2001, vol. 46, no. 10, pp. 1205–1212.CrossRefGoogle Scholar
  19. 19.
    Taylor, G.I., Proc. R. Soc. London, Ser. A, 1964, vol. 280, pp. 383–397.CrossRefGoogle Scholar
  20. 20.
    Grigor’ev, A.I., Shiryaeva, S.O., Belonozhko, D.F., and Klimov, A.V., Elektron. Obrab. Mater., 2004, no. 4, pp. 34–40.Google Scholar
  21. 21.
    Mazin, I.P. and Shmeter, S.M., Oblaka. Stroenie i fizika obrazovaniya (The Structure and Formation Physics of Clouds), Leningrad: Gidrometeoizdat, 1983.Google Scholar
  22. 22.
    Maier, V.V., Kumulyativnyi effekt v prostykh opytakh (Cumulative Effect in Simple Experiments), Moscow: Nauka, 1986.Google Scholar
  23. 23.
    Maier, V.V., Kumulyativnyi effekt: uchebnye issledovaniya (Cumulative Effect: The Studies), Moscow: Fizmatlit, 2007.Google Scholar
  24. 24.
    Aleksandrov, A.F., Esakov, I.I., et al., Tech. Phys., 2006, vol. 51, no. 3, pp. 330–335.CrossRefGoogle Scholar
  25. 25.
    Oblaka i oblachnaya atmosfera. Spravochnik (Clouds and Cloudy Atmosphere: Handbook), Mazin, I.P., Khrgiana, A.Kh., and Imyanitova, I.M., Eds., Leningrad: Gidrometeoizdat, 1989.Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  • S. O. Shiryaeva
    • 1
  • A. I. Grigor’ev
    • 1
  • K. I. Orlova
    • 1
  1. 1.Yaroslavl State UniversityYaroslavlRussia

Personalised recommendations