Technical Physics

, Volume 43, Issue 11, pp 1314–1317 | Cite as

Stability of a charged drop having the form of a triaxial ellipsoid

  • S. I. Shchukin
  • A. I. Grigor’ev
Gases and Fluids


The stability of a highly charged, isolated conductive drop is analyzed within the principle of minimum potential energy of a closed system. A treatment of the stability of drops of ellipsoidal shape shows that both spherical drops and drops having an oblate spheroidal shape experience instability at sufficiently large charges according to a single scheme, i.e., they deform to a prolate spheroid.


Potential Energy Closed System Prolate Ellipsoidal Shape Prolate Spheroid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. I. Grigor’ev and S. O. Shiryaeva, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 3 (1994).Google Scholar
  2. 2.
    S. I. Bastrukov, Phys. Rev. E 53, 1917 (1996).CrossRefADSGoogle Scholar
  3. 3.
    S. I. Bastrukov and I. V. Molodtsova, Dokl. Ross. Akad. Nauk 350, 321 (1996) [Phys. Dokl. 41, 388 (1996)].Google Scholar
  4. 4.
    Lord Rayleigh (J. W. Strutt), Philos. Mag. 14, 184 (1882).Google Scholar
  5. 5.
    G. Ailam and I. Gallily, Phys. Fluids 5, 575 (1962).Google Scholar
  6. 6.
    O. A. Bassaran and L. E. Scriven, Phys. Fluids A 1, 795 (1989).ADSGoogle Scholar
  7. 7.
    A. I. Grigor’ev, A. A. Firstov, and S. O. Shiryaeva, in Proceedings of the 9th International Conference on Atmospheric Electricity, St. Petersburg (1992), pp. 450–453.Google Scholar
  8. 8.
    A. Erdélyi (Ed.), Bateman Manuscript Project. Higher Transcendental Functions, Vol. 3, (McGraw-Hill, New York, 1955; Nauka, Moscow, 1955, 299 pp.)Google Scholar
  9. 9.
    L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, [Pergamon, Oxford (1984); Mir, Moscow (1982), 620 pp.].Google Scholar

Copyright information

© American Institute of Physics 1998

Authors and Affiliations

  • S. I. Shchukin
    • 1
  • A. I. Grigor’ev
    • 1
  1. 1.Yaroslavl State UniversityYaroslavlRussia

Personalised recommendations