Skip to main content
Log in

On the equilibrium shape of a heavily charged drop suspended in a weak electrostatic field

  • Gases and Liquids
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The object of investigation is the shape of a heavily charged drop placed in a weak electrostatic field. Calculations were carried out in the fourth order of smallness in the eccentricity, through which the steady-state deformation of the drop is measured. It is shown that the equilibrium shape of such a drop can be approximated by a prolate spheroid. This shape is due to the self-charge of the drop rather than to the external field, which is very weak and merely specifies a preferred direction. In an electrostatic suspension, where such a situation may take place, the deformation-related measurement inaccuracy of the critical charge can be totally eliminated if fine droplets are used.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Lord Rayleigh (J. W. Strutt), Phil. Mag. 14, 184 (1882).

    Google Scholar 

  2. A. I. Grigor’ev, Sov. Phys. Tech. Phys. 30, 736 (1986).

    Google Scholar 

  3. S. O. Shiryaeva, A. I. Grigor’ev, and D. O. Kornienko, Tech. Phys. 55, 1558 (2010).

    Article  Google Scholar 

  4. A. Doyle, D. R. Moffet, and B. Vonnegut, J. Colloid Sci. 19, 136 (1964).

    Article  Google Scholar 

  5. T. G. O. Berg, R. J. Trainor, and U. Vaughan, J. Atmos. Sci. 27, 1173 (1970).

    Article  ADS  Google Scholar 

  6. J. D. Schweizer and D. N. Hanson, J. Colloid Interface Sci. 35, 417 (1971).

    Article  Google Scholar 

  7. M. Roulleau and M. Desbois, J. Atmos. Sci. 29, 565 (1972).

    Article  ADS  Google Scholar 

  8. D. Duft, H. Lebbeus, and B. A. Huber, Phys. Rev. Lett. 89, 1 (2002).

    Article  Google Scholar 

  9. D. Duft, T. Achtzehn, R. Muller, et al., “Coulomb fission: Rayleigh jets from levitated microdroplets,” Nature 421, 128 (2003).

    Article  ADS  Google Scholar 

  10. R. L. Grimm and J. L. Beauchamp, J. Phys. Chem. B 109, 8244 (2005).

    Article  Google Scholar 

  11. A. I. Grigor’ev, S. O. Shiryaeva, and E. I. Belavina, Sov. Phys. Tech. Phys. 34, 602 (1989).

    Google Scholar 

  12. S. O. Shiryaeva, Tech. Phys. 51, 1284 (2006).

    Article  Google Scholar 

  13. A. I. Grigor’ev, A. N. Zharov, and S. O. Shiryaeva, Tech. Phys. 50, 1006 (2005).

    Article  Google Scholar 

  14. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Pergamon, New York, 1987).

    Google Scholar 

  15. S. O. Shiryaeva, Tech. Phys. 47, 389 (2002).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. O. Shiryaeva.

Additional information

Original Russian Text © S.O. Shiryaeva, N.A. Petrushov, A.I. Grigor’ev, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 8, pp. 33–39.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shiryaeva, S.O., Petrushov, N.A. & Grigor’ev, A.I. On the equilibrium shape of a heavily charged drop suspended in a weak electrostatic field. Tech. Phys. 60, 1136–1143 (2015). https://doi.org/10.1134/S1063784215080241

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784215080241

Keywords

Navigation