Skip to main content
Log in

Electric field singularity on the line of wetting of dielectric surface

  • Plasma Investigations
  • Published:
High Temperature Aims and scope

Abstract

The pattern of electric field singularity on the line of wetting of dielectric by conducting liquid is considered. It is known that the modulus of electric field in this case tends to infinity while the distance from the line of wetting tends to zero, i.e., the electric field has a singularity on the line of wetting. In the case of nonzero wetting angle, this singularity is integrable, with the total volume density of electric energy remaining finite. It is demonstrated that, if the surface is wetted by dielectric liquid, a critical wetting angle exists defined by the permittivity ratio of contacting dielectrics. When the wetting angle becomes less than critical, the electric field singularity disappears.

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. Jones, T.B., Adv. Heat Transfer, 1978, vol. 14, p. 107.

    Google Scholar 

  2. Allen, P.H.G. and Karayiannis, T.G., Heat Recovery Systems & CHP, 1995, vol. 15, no. 5, p. 389.

    Article  Google Scholar 

  3. Hoshino, K., Triteyaprasert, S., Matsumoto, K., and Shimoyama, I., Sensors Actuators A, 2004, vol. 114, p. 473.

    Article  Google Scholar 

  4. Belaubre, P., Guirardel, M., Leberre, V. et al., Sensors Actuators A, 2004, vol. 110, p. 130.

    Article  Google Scholar 

  5. Huh, D., Tkaczyk, A.H., Bahng, J.H. et al., J. Am. Chem. Soc., 2003, vol. 125, p. 14678.

  6. Vallet, M., Vallade, M., and Berge, B., Eur. Phys. J. B, 1999, vol. 11, p. 583.

    Article  ADS  Google Scholar 

  7. Hurd, R.A., IEEE Trans. Antennas Propag., 1976, vol. 24, no. 1, p. 70.

    Article  ADS  Google Scholar 

  8. Van Bladen, J., IEEE Trans. Antennas Propag., 1985, vol. 33, no. 4, p. 450.

    Article  ADS  Google Scholar 

  9. Brooke, G.H. and Kharadly, M.M.Z., IEEE Trans. Antennas Propag., 1977, vol. 25, no. 7, p. 571.

    Article  ADS  Google Scholar 

  10. Landau, L.D. and Lifshitz, E.M., Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow: Nauka, 1982.

    Google Scholar 

  11. Tamm, I.E., Osnovy teorii elektrichestva (Fundamentals of the Theory of Electricity), Moscow: Nauka, 1989.

    Google Scholar 

  12. Buehrle, J., Herminghaus, S., and Mugele, F., Phys. Rev. Lett., 2003, vol. 91, no. 8, pp. 086101.

  13. Taylor, G.I., Proc. R. Soc. London, 1964, Ser. A 280, p. 383.

  14. Jones, T.B., J. Micromech. Microeng., 2005, vol. 15, p. 1184.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. B. Petrin.

Additional information

Original Russian Text © A.B. Petrin, 2008, published in Teplofizika Vysokikh Temperatur, Vol. 46, No. 1, 2008, pp. 23–29.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrin, A.B. Electric field singularity on the line of wetting of dielectric surface. High Temp 46, 19–24 (2008). https://doi.org/10.1134/s10740-008-1004-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/s10740-008-1004-3

PACS numbers

Navigation