Skip to main content
SpringerLink
Log in

Stability of a surface-charged viscous jet in an electric field

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The stability of a surface-charged cylindrical jet in a longitudinal uniform electric field with respect to capillary pertubations is investigated in the linear approximation. The evolution of both axisymmetric and azimuthal-periodic perturbations is analyzed. In the latter case the first two modes among the azimuthal wavenumbers — bending and Bohr — are considered. Axisymmetric and bending instabilities lead to the transverse disintegration of the jet into individual drops and the Bohr mode to the longitudinal separation of the input jet into two parts. It is found that the axisymmetric and bending instabilities, respectively, can be completely suppressed and significantly attenuated by means of an external longitudinal field. In this case the role of the Bohr mode becomes more important leading under certain conditions to longitudinal longwave jet splitting. Events which can be interpreted as manifestations of longitudinal partition of the jet (dumbbell-like cross-section, branching nodes) are observed in experiments with evaporating polymer-solution microjets.

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

References

  1. A. S. Ginevskii, “Features of capillary disintegration of charged dielectric jets,” in:Proceedings of Moscow Power-Engineering Institute, No. 119 [in Russian], Moscow (1986), P. 18.

  2. G. A. Glonti, “Theory of stability of liquid jets in an electric field,”Zh. Eksp. Teor. Fiz.,34, 1329 (1958).

    Google Scholar 

  3. D. A. Saville, “Stability of electrically charged viscous cylinders,”Phys. Fluids,14, 1095 (1971).

    Article  Google Scholar 

  4. I. E. Tamm,Fundamentals of Electricity Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. A. G. Kulikovskii and G. A. Lyubimov,Magneto-Hydrodynamics, Addison-Wesley, Reading, Mass. (1965).

    Google Scholar 

  6. V. Ya. Shkadov, “Some methods and problems of the theory of hydrodynamic stability,” in:Proceedings of the Institute of Mechanics of Moscow State University, No. 25 [in Russian], Moscow (1973).

  7. L. I. Sedov,Continuum Mechanics, Vol. 2, [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  8. M. P. Markova and V. Ya. Shkadov, “Nonlinear development of capillary waves in a liquid jet,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 30 (1972).

  9. A. L. Huebner, “Disintegration of charged liquid jets,”J. Fluid Mech.,38, 679 (1969).

    Article  ADS  Google Scholar 

  10. I. V. Petryanov, V. I. Kozlov, P. I. Basmanov, and V. I. Ogorodnikov,Filamentous Filter Materials [in Russian], Znanie, Moscow (1968).

    Google Scholar 

  11. A. A. Shutov, “Shape of an incompressible weakly-conducting jet in a strong electric field,”Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 20 (1991).

    Google Scholar 

  12. S. Ya. Gertsenshtein and V. Ya. Shkadov, “Stability of non-axisymmetric liquid jets,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 43 (1973).

Download references

Authors
  1. V. Ya. Shkadov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Shutov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 29–40, March–April, 1998.

The work was carried out with support from the Russian Foundation for Fundamental Research (project No. 97-01-00153).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shkadov, V.Y., Shutov, A.A. Stability of a surface-charged viscous jet in an electric field. Fluid Dyn 33, 176–185 (1998). https://doi.org/10.1007/BF02698699

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698699

Keywords

Search

Navigation