Skip to main content
SpringerLink
Log in

Flow stability of a liquid dielectric cylinder in a transverse electrostatic field

  • Published:
Soviet Physics Journal Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A perturbation method is used to study the stability of the interface between a cylinder formed by the flow of an inviscid liquid dielectric and air in the presence of an external electrostatic field produced by coaxial electrodes. The field is perpendicular to the interface. The outer electrode is at a potential V0 and the inner electrode is grounded. An equation is found for the neutral-equilibrium curve, and the threshhold values of V0, i.e., those at which the surface becomes unstable, are calculated for the case in which the outer radius of the stream is twice the inner radius.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. E. N. Vladychina and M. M. Gol'dberg (editors), Painting Articles in an Electric Field [in Russian], Khimiya, Moscow (1966).

    Google Scholar 

  2. I. E. Tamm, Basic Theory of Electricity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. G. N. Watson, A. Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, New York (1952).

    Google Scholar 

  4. V. G. Levich, Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs, N.J. (1962).

    Google Scholar 

  5. A. I. Dolginov, High-Voltage Techniques in Electric Power Systems [in Russian], Énergiya, Moscow (1968).

    Google Scholar 

  6. Lin Chia-ch'iao, Statistical Theories of Turbulence, Princeton Univ. Press, Princeton, N.J. (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Chemical Machinery, USSR

    Yu. G. Eliseev

Authors
  1. Yu. G. Eliseev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya VUZ. Fizika, No. 12, pp. 34–38, December, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eliseev, Y.G. Flow stability of a liquid dielectric cylinder in a transverse electrostatic field. Soviet Physics Journal 12, 1536–1540 (1969). https://doi.org/10.1007/BF00816938

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00816938

Keywords

Search

Navigation