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Stability of a bubble in a dielectric liquid in an external electrostatic field

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Abstract

Critical instability conditions are found for a gas bubble in a liquid dielectric in a uniform external electrostatic field E 0. It is shown that they depend both on the magnitude of E 0 and on the properties of the liquid, as well as on the gas pressure in the bubble. In a linear approximation with respect to the square of the eccentricity of an equilibrium spheroidal form, the equilibrium eccentricity of the bubble exceeds the equilibrium eccentricity of a drop in the field E 0. The gas pressure in the bubble lowers the critical electric field E 0 for development of an instability in the bubble.

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References

  1. V. V. Glazkov, O. A. Sinkevich, and P. V. Smirnov, Teplofiz. Vys. Temp. 29, 1095 (1991).

    Google Scholar 

  2. I. V. Pylaeva, O. A. Sinkevich, and P. V. Smirnov, Teplofiz. Vys. Temp. 30, 367 (1992).

    Google Scholar 

  3. A. I. Grigor’ev and S. O. Shiryaeva, Izv. Ross. Akad. Nauk. Mekh. Zhidk. Gaza, No. 3, pp. 2–28 (1994).

  4. Ch. T. O’Konski and F. E. Harris, J. Chem. Phys. 61, 1172 (1957).

    Google Scholar 

  5. C. G. Garton and Z. Krasucki, Trans. Faraday Soc. 60, 211 (1964).

    Google Scholar 

  6. G. Taylor, Proc. R. Soc. London, Ser. A 280, 383 (1964).

    ADS  MATH  Google Scholar 

  7. K. J. Cheng and J. B. Chaddock, Phys. Lett. A 106, 51 (1984).

    ADS  Google Scholar 

  8. J. D. Sherwood, J. Fluid Mech. 188, 133 (1988).

    ADS  MATH  Google Scholar 

  9. Ya. E. Geguzin, Bubbles [in Russian], Nauka, Moscow (1985), 174 pp.

    Google Scholar 

  10. A. I. Grigor’ev, S. O. Shiryaeva, and E. I. Belavina, Zh. Tekh. Fiz. 59(6), 27 (1989) [Sov. Phys. Tech. Phys. 34, 602 (1989)].

    Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Statistical Physics, 2nd ed., Pergamon Press, Oxford (1969); Nauka, Moscow (1964), 567 pp.].

    Google Scholar 

  12. A. I. Grigor’ev, V. A. Koromyslov, and A. N. Zharov, Pis’ma Zh. Tekh. Fiz. 23(19), 60 (1997) [Tech. Phys. Lett. 23(10), 760 (1997)].

    Google Scholar 

  13. S. O. Shiryaeva and A. I. Grigor’ev, Zh. Tekh. Fiz. 65(2), 11 (1995) [Tech. Phys. 40, 122 (1995)].

    Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed., rev. and enl., with L. P. Pitaevskii [Pergamon Press, Oxford (1984); Nauka, Moscow (1982), 620 pp.].

    Google Scholar 

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Authors and Affiliations

  1. Yaroslavl State University, 150000, Yaroslavl, Russia

    A. I. Grigor’ev, A. N. Zharov & S. O. Shiryaeva

Authors
  1. A. I. Grigor’ev
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  2. A. N. Zharov
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  3. S. O. Shiryaeva
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Zh. Tekh. Fiz. 69, 43–48 (August 1999)

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Grigor’ev, A.I., Zharov, A.N. & Shiryaeva, S.O. Stability of a bubble in a dielectric liquid in an external electrostatic field. Tech. Phys. 44, 908–912 (1999). https://doi.org/10.1134/1.1259403

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  • DOI: https://doi.org/10.1134/1.1259403

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