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 v∼U 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.
Similar content being viewed by others
REFERENCES
M. A. Lavrent'ev and B. V. Shabat, Problems of Hydrodynamics and their Mathematical Models [in Russian], Nauka, Moscow (1977).
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).
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).
V. F. Kopiev and S. A. Chernyshev, “Vortex ring eigenoscillations as a source of sound,” J. Fluid Mech., 341, 19 (1997).
V. A. Vladimiriv and V. F. Tarasov, “Formation of vortex rings,” Izv. SO AN SSSR, Ser. Tekhn. Nauk, 1, No. 3, 3 (1980).
V. I. Tatarskii, Propagation of Waves through a Turbulent Atmosphere [in Russian], Nauka, Moscow (1967).
V. E. Prokhorov, “Scattering of sound by density jumps in a medium with a temperature or salinity stratification,” Acoust. Zh., 46, 245 (2000).
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).
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).
T. Kambe and U. M. Oo, “Scattering of sound by vortex rings,” J. Phys. Soc. Japan, 50, 3507 (1981).
H. Lamb, Hydrodynamics, Cambridge University Press, New York (1957).
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).
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).
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).
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).
A. N. Barkhatov, Simulation of Propagation of Sound in the Ocean [in Russian], Gidrometeoizdat, Leningrad (1982).
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).
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1017966727089