Skip to main content
Log in

High-speed videocamera investigation of the wave structure development on an unstable cavity boundary

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The formation of wave structures on an unstable (in the Rayleigh-Taylor criterion) boundary of a plane cavity is studied using high-speed video filming. It is shown that at the head of the cavity a quasiperiodic wave regime develops, with a mean wavelength similar to that obtained from a linear stability analysis for the cavity boundary. Observations of the initial-regime breakdown show that its scenarios are similar to the development of subharmonic instability in the one-mode regime. The waves are classified with respect to the wave development rate. It is shown that the large-wave amplitude growth law is on average closely approximated by a quadratic parabola, with the total gas entrainment from the cavity being proportional to the square of the cavity length. The existence of a scaling effect is detected, which in the case considered reduces mainly to a dependence of the gas entrainment coefficient on the Weber number. It is shown that with decrease in the Weber number the gas entrainment coefficient may significantly increase.

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. I.I. Kozlov and V.V. Prokof’ev, “Gas Entrainment from a Ventilated Cavity with a Negative Cavitation Number,” Fluid Dynamics 36(5), 751–763 (2001).

    Article  MATH  Google Scholar 

  2. V.P. Karlikov, O.V. Molodykh, and G.I. Sholomovich, “On Turbulent Separated Flows Past a Truncated Body of Revolution,” Fluid Dynamics 31(6), 837–844 (1996).

    Article  Google Scholar 

  3. M.I. Gurevich, Theory of Inviscid-Fluid Jets [in Russian], (Nauka, Moscow, 1979).

    Google Scholar 

  4. I.I. Kozlov and V.V. Prokof’ev, “Wave Development Mechanisms on the Surface of a Cavity with a Negative Cavitation Number,” Dokl. Ross. Akad. Nauk 409(1), 43–47 (2006).

    Google Scholar 

  5. S.Ya. Gertsenshtein, V.M. Chernyavskii, and Yu.M. Shtemler, “Rayleigh-Taylor Instability at Large Times,” Fluid Dynamics 24(5), 661–669 (1989).

    Article  Google Scholar 

  6. N.A. Inogamov, A.Yu. Dem’yanov, and É.E. Son, Hydrodynamics of Mixing [in Russian], (MPhTI, Moscow, 1999).

    Google Scholar 

  7. I.I. Kozlov, V.V. Prokof’ev, and A.A. Puchkov, Investigations of the Flow Around a Cavity with a Negative Cavitation Number Using a High-Speed Videocamera, Report of Institute of Mechanics MSU, No. 4846 (2006).

  8. I.I. Kozlov and V.V. Prokof’ev, “About Different Modes of Carry-Over of Gas from Ventilated Cavity with Negative Cavitation Number,” in: Proc. Int. Summer Sci. School HSH-2004. Cheboksary. Russia, (2004), 97–104.

Download references

Authors

Additional information

Original Russian Text © I.I. Kozlov, V.V. Prokof’ev, A.A. Puchkov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 2, pp. 137–148.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, I.I., Prokof’ev, V.V. & Puchkov, A.A. High-speed videocamera investigation of the wave structure development on an unstable cavity boundary. Fluid Dyn 43, 287–296 (2008). https://doi.org/10.1134/S0015462808020130

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462808020130

Keywords

Navigation