Skip to main content
SpringerLink
Log in

Experimental study of surface waves with Faraday resonance excitation

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The results of an investigation of standing two-dimensional gravity waves on the free surface of a homogeneous liquid, induced by the vertical oscillations of a rectangular vessel under Faraday resonance conditions, are presented. The frequency ranges of excitation are determined and resonance relationships for the second and third modes are obtained and analyzed. Nonlinearities of the waves generated, such as wave profile asymmetry and node oscillations, are evaluated. Wave breakdown and the onset of unstable oscillation modes are considered. Experimental results are compared with the theoretical data.

The experimental studies [1–4], devoted to Faraday resonance, deal mainly with the conditions under which resonance arises and the frequency response.

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. K. I. Sorokin, “Spouting of drops from the surface of a vertically oscillating liquid,”Akust. Zh.,3, 262 (1957).

    Google Scholar 

  2. R. Skalak and M. I. Yarymovych, “Forced large amplitude surface waves,” in:Proc. 4th US Nat. Congr. Appl. Mech., Berkeley, Ca, 1962, vol. 2, Pergamon Press, Oxford etc (1962), p. 1411.

    Google Scholar 

  3. F. T. Dodge, D. D. Kana, and H. N. Abramson, “Liquid surface oscillations in longitudinally excited rigid cylindrical containers,”AIAA J.,3, 685 (1965).

    Google Scholar 

  4. S. Ciliberto and J. P. Gollub, “Chaotic mode competition in parametrically forced surface waves,”J. Fluid Mech.,158, 381 (1985).

    Google Scholar 

  5. V. A. Kalinichenko, S. V. Nesterov, S. Ya. Sekerz-Zen'kovich, and A. A. Chaykovskii,Experimental Study of the Parametric Excitation of Surface Waves, Institute for Problems in Mechanics, Preprint No. 243, Moscow (1985).

    Google Scholar 

  6. S. V. Nesterov,Studies in the Nonlinear Theory of Gravity Waves, Summary of doctoral dissertation, Moscow (1973).

  7. A. V. Kravtsov and S. Ya. Sekerz-Zen'kovich, “Parametric excitation of a viscous two-layer liquid in a closed vessel,”Zh. Vychisl. Mat. Mat. Fiz.,33, 611 (1993).

    Google Scholar 

  8. I. Tadjbakhsh and J. B. Keller, “Standing surface waves of finite amplitude,”J. Fluid Mech.,8, 442 (1960).

    Google Scholar 

  9. D. Fultz, “An experimental note on finite-amplitude standing gravity waves,”J. Fluid Mech.,13, 193 (1962).

    Google Scholar 

  10. G. I. Taylor, “The instability of liquid surfaces when accelerated in a direction perpendicular to their planes,”Proc. Roy. Soc. London, Ser. A,201, 192 (1950).

    Google Scholar 

  11. W. G. Pennly and A. T. Price, “Finite periodic stationary gravity waves in a perfect liquid,”Phil. Trans. Roy. Soc. London, Ser. A,244, 254 (1952).

    Google Scholar 

Download references

Authors
  1. V. A. Kalinichenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Nesterov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Ya. Sekerz-Zen'kovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. V. Chaykovskii
    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. 1, pp. 122–129, January–February, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalinichenko, V.A., Nesterov, S.V., Sekerz-Zen'kovich, S.Y. et al. Experimental study of surface waves with Faraday resonance excitation. Fluid Dyn 30, 101–106 (1995). https://doi.org/10.1007/BF02029933

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02029933

Keywords

Search

Navigation