Skip to main content
SpringerLink
Log in

Nonlinear periodic waves on the charged surfactant-covered surface of a viscous fluid

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

Abstract

The profile of a periodic capillary-gravitational wave propagating over the surfactant-covered surface of a fluid is found in the second-order approximation in initial deformation amplitude. It is shown that the surfactant film appreciably affects the intensity of nonlinear interaction between harmonics constituting the nonlinear wave.

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. D. F. Belonozhko and A. I. Grigor’ev, Zh. Tekh. Fiz. 73(4), 28 (2003) [Tech. Phys. 48, 404 (2003)].

    Google Scholar 

  2. D. F. Belonozhko and A. I. Grigor’ev, Pis’ma Zh. Tekh. Fiz. 29(8), 1 (2003) [Tech. Phys. Lett. 29, 309 (2003)].

    Google Scholar 

  3. D. F. Belonozhko and A. I. Grigor’ev, Zh. Tekh. Fiz. 73(11), 37 (2003) [Tech. Phys. 48, 1396 (2003)].

    Google Scholar 

  4. D. F. Belonozhko and A. I. Grigor’ev, Zh. Tekh. Fiz. 74(3), 5 (2004) [Tech. Phys. 49, 287 (2004)].

    Google Scholar 

  5. V. G. Levich, Physicochemical Hydrodynamics (Fizmatgiz, Moscow, 1959) [in Russian].

    Google Scholar 

  6. E. H. Lucassen and J. Lucassen, Adv. Colloid Interface Sci. 2, 347 (1969).

    Google Scholar 

  7. W. Alpers, J. Geophys. Res. 94, 6251 (1989).

    ADS  Google Scholar 

  8. D. F. Belonozhko, S. O. Shiryaeva, and A. I. Grigor’ev, Pis’ma Zh. Tekh. Fiz. 22(15), 61 (1996) [Tech. Phys. Lett. 22, 626 (1996)].

    Google Scholar 

  9. D. F. Belonozhko, A. I. Grigor’ev, and S. O. Shiryaeva, Pis’ma Zh. Tekh. Fiz. 23(6), 75 (1997) [Tech. Phys. Lett. 23, 242 (1997)].

    Google Scholar 

  10. S. O. Shiryaeva, D. F. Belonozhko, and A. I. Grigor’ev, Zh. Tekh. Fiz. 68(2), 22 (1998) [Tech. Phys. 43, 151 (1998)].

    Google Scholar 

  11. A. G. Boev and N. N. Yasnitskaya, Izv. Akad. Nauk, Fiz. Atmos. Okeana 39, 132 (2003).

    Google Scholar 

  12. W. F. Simmons, Proc. R. Soc. London, Ser. A 309, 551 (1969).

    ADS  Google Scholar 

  13. . A. H. Nayfeh, J. Fluid Mech. 48, 385 (1971).

    ADS  MATH  MathSciNet  Google Scholar 

  14. Ya. I. Frenkel’, Zh. Éksp. Teor. Fiz. 6, 348 (1936).

    Google Scholar 

  15. G. M. Zaslavskii and R. Z. Sagdeev, Introduction to Nonlinear Physics (Nauka, Moscow, 1988); R. Z. Sagdeev, D. A. Usikov, and G. M. Zaslavsky, Nonlinear Physics: from the Pendulum to Turbulence and Chaos (Harwood Academic, New York, 1988).

    Google Scholar 

  16. Surface-Active Substances, Ed. by A. A. Abramzon and G. M. Gaevskii (Khimiya, Leningrad, 1979) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    D. F. Belonozhko & A. I. Grigor’ev

Authors
  1. D. F. Belonozhko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Grigor’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 74, No. 11, 2004, pp. 29–37.

Original Russian Text Copyright © 2004 by Belonozhko, Grigor’ev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belonozhko, D.F., Grigor’ev, A.I. Nonlinear periodic waves on the charged surfactant-covered surface of a viscous fluid. Tech. Phys. 49, 1422–1430 (2004). https://doi.org/10.1134/1.1826185

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1826185

Keywords

Search

Navigation