Skip to main content
Log in

On the Effect of Electrostatic and Aerodynamic Fields on the Regularities in Realization of Instability for the First Three Azimuthal Modes of a Liquid Jet

  • Published:
Surface Engineering and Applied Electrochemistry Aims and scope Submit manuscript

Abstract—

It is shown that the instability of a liquid jet with respect to the external electrostatic field and relative to the presence of the external material medium with common phenomenological features differ by the threshold values of the field parameter and the Weber parameter at which these instabilities are realized for the first two values of the azimuthal mode. For the next, in the order of increasing the number of a bending-deformation mode, both instabilities have the thresholds that differ only by the wave number values at which they are realized. For the mixed electrostatically aerodynamic instability, when both parameters, field and the Weber, differ from zero, the thresholds of instability realization and the critical wave numbers also change.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

Similar content being viewed by others

REFERENCES

  1. Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physical-Chemical Hydrodynamics), Moscow: Fizmatgiz, 1959.

  2. Rayleigh, (Baron Strutt), J.W., The Theory of Sound, London: Macmillan, 1926, vol. 2.

  3. Grigor’ev, A.I., Shiryaeva, S.O., Petrushov, N.A., and Volkova, M.V., Surf. Eng. Appl. Electrochem., 2010, vol. 46, no. 3, pp. 218–222.

    Article  Google Scholar 

  4. Bailey, A.G., Electrostatic atomization of liquids (review), Sci. Prog., 1974, vol. 61, pp. 555–581.

    Google Scholar 

  5. Entov, V.M. and Yarin, A.L., Itogi Nauki Tekh., Ser.: Mekh. Zhidk. Gaza, 1984, vol. 17, pp. 112–197.

    Google Scholar 

  6. Eggers, J., Rev. Mod. Phys., 1997, vol. 69, no. 3, pp. 865–929.

    Article  Google Scholar 

  7. Ametistov, E.V., Blazhenkov, V.V., Gorodov, A.K., et al., Monodispergirovanie veshchestva: printsipy i primenenie (Monodispersing of Substances: Principles and Application), Grigor’ev, V.A., Ed., Moscow: Energoatomizdat, 1991.

  8. Pfeifer, R.J., Phys. Fluids, 1973, vol. 16, no. 3, pp. 454–455.

    Article  Google Scholar 

  9. Cloupeau, M. and Prunet Foch, B., J. Electrostat., 1990, vol. 25, pp. 165–184.

    Article  Google Scholar 

  10. Cloupeau, M. and Prunet Foch, B., J. Aerosol Sci., 1994, vol. 25, no. 6, pp. 1021–1035.

    Article  Google Scholar 

  11. Shiryaeva, S.O. and Grigor’ev, A.I., J. Electrost., 1995, vol. 34, pp. 51–59.

    Article  Google Scholar 

  12. Jaworek, A. and Krupa, A., J. Aerosol Sci., 1999, vol. 30, no. 7, pp. 873–893.

    Article  Google Scholar 

  13. Grigor’ev, A.I. and Shiryaeva, S.O., Elektron. Obrab. Mater., 2018, vol. 54, no. 2, pp. 23–37

    Google Scholar 

  14. Kim, O.V. and Dunn, P.F., Langmuir, 2010, vol. 26, pp. 15807–15813.

    Article  Google Scholar 

  15. Frenkel’, Ya.I., Zh. Eksp. Teor. Fiz., 1936, vol. 6, no. 4, pp. 348–350.

    Google Scholar 

  16. Landau, L.D. and Lifshitz, E.M., A Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields, New York: Pergamon, 1971.

    MATH  Google Scholar 

  17. Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover, 1965.

    MATH  Google Scholar 

  18. Landau, L.D. and Lifshitz, E.M., A Course of Theoretical Physics, Vol. 6: Fluid Mechanics, New York: Pergamon, 1959.

    Google Scholar 

  19. Hoyt, J.W. and Tailor, J.J., J. Fluid Mech., 1977, vol. 83, no. 1, pp. 119–127.

    Article  Google Scholar 

  20. Raizer, Y.P., Gas Discharge Physics, Allen, J.E., Ed., New York: Springer, 1991.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. O. Shiryaeva.

Additional information

Translated by M. Baznat

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shiryaeva, S.O., Grigor’ev, A.I. & Brusnitsina, A.O. On the Effect of Electrostatic and Aerodynamic Fields on the Regularities in Realization of Instability for the First Three Azimuthal Modes of a Liquid Jet. Surf. Engin. Appl.Electrochem. 57, 190–196 (2021). https://doi.org/10.3103/S1068375521020101

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068375521020101

Keywords:

Navigation