Skip to main content
Log in

Acoustic Sounding of Vortex Rings in a Continuously Stratified Fluid

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The experimental simulation of solitary vortex rings in a stratified fluid performed using high-frequency echo-sounding and optical visualization methods shows that on the range from turbulent to laminar regimes the vortex is a volume inhomogeneity with a sound scattering cross-section m vU 5, where U is the translational velocity. The absolute value of m v is determined by the microscale component of the vortex microstructure, which is commensurable with the sounding sonic wave length.

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. M. A. Lavrent'ev and B. V. Shabat, Problems of Hydrodynamics and their Mathematical Models [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. O. M. Belotserkovskii, V. A. Andrushchenko, and Yu. D. Shevtsov, Dynamics of Three-Dimensional Vortex Flows in an Inhomogeneous Atmosphere [in Russian], Yanus-K, Moscow (2000).

    Google Scholar 

  3. V. S. Belyaev, A. M. Savinkov, and Yu. D. Chashechkin, “Dynamics of laminar vortex rings in a stratified fluid,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 37 (1987).

  4. V. F. Kopiev and S. A. Chernyshev, “Vortex ring eigenoscillations as a source of sound,” J. Fluid Mech., 341, 19 (1997).

    Google Scholar 

  5. V. A. Vladimiriv and V. F. Tarasov, “Formation of vortex rings,” Izv. SO AN SSSR, Ser. Tekhn. Nauk, 1, No. 3, 3 (1980).

    Google Scholar 

  6. V. I. Tatarskii, Propagation of Waves through a Turbulent Atmosphere [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. V. E. Prokhorov, “Scattering of sound by density jumps in a medium with a temperature or salinity stratification,” Acoust. Zh., 46, 245 (2000).

    Google Scholar 

  8. V. V. Mitkin and Yu. D. Chashechkin, “Suspended discontinuities in a two-dimensional attached internal wave field,” Zh. Prikl. Mekh. Tekh. Fiz., 40, No. 5, 40 (1999).

    Google Scholar 

  9. P. R. Gromov, A. B. Ezerskii, S. V. Kiyashko, and A. L. Fabrikant, “Scattering of sound by a toroidal vortex. Theory and experiment,” Preprint No. 9 [in Russian], Gor'kii, Institute of Applied Physics of Academy of Sciences of the USSR (1982).

  10. T. Kambe and U. M. Oo, “Scattering of sound by vortex rings,” J. Phys. Soc. Japan, 50, 3507 (1981).

    Google Scholar 

  11. H. Lamb, Hydrodynamics, Cambridge University Press, New York (1957).

    Google Scholar 

  12. Yu. V. Kistovich and Yu. D. Chashechkin, “Linear theory of propagation of bundles of internal waves through an arbitrary stratified fluid,” Zh. Prikl. Mekh. Tekh. Fiz., 39, No. 5, 88 (1998).

    Google Scholar 

  13. S. A. Smirnov, Yu. D. Chashechkin, and Yu. S. Il'inykh, “High-accuracy method for measuring the buoyancy period profile,” Izmerit. Tekhnika, No. 6, 15 (1998).

    Google Scholar 

  14. D. E. Mowbray, “The use of schlieren and shadowgraph techniques in the study of flowpatterns in density stratified liquids,” J. Fluid Mech., 27, 595 (1967).

    Google Scholar 

  15. V. V. Mitkin, V. E. Prokhorov, and Yu. D. Chashechkin, “Scattering of sound by interfaces in a stratified laminar two-dimensional flow,” Acoust. Zh., 45, 380 (1999).

    Google Scholar 

  16. A. N. Barkhatov, Simulation of Propagation of Sound in the Ocean [in Russian], Gidrometeoizdat, Leningrad (1982).

    Google Scholar 

  17. V. P. Shevtsov, A. S. Salomatin, and V. I. Yusupov, “Large-scale structure of the field of volume scattering of sound in the Pacific Ocean,” Okeanologiya, 28, 376 (1988).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitkin, V.V., Prokhorov, V.E. & Chashechkin, Y.D. Acoustic Sounding of Vortex Rings in a Continuously Stratified Fluid. Fluid Dynamics 36, 934–943 (2001). https://doi.org/10.1023/A:1017966727089

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017966727089

Keywords

Navigation