Radiation and scattering of sound from a vortex ring
type: Item
instance of: scholarly article
title: Radiation and scattering of sound from a vortex ring
zbMATH Open document ID: 0648.76058
DOI: 10.1007/BF01051920
author: V. F. Kopiev
author: E. A. Leont'ev
published in: Fluid Dynamics
publication date: 1987-01-01T00:00:00Z
review text: The mechanisms of generation and scattering of sound by a vortex ring are investigated on the basis of fluid dynamics. The vortex ring can serve as a simple dynamic model of the large-scale structures observed in shear flows. Moreover, it is probably the most easily studied vortex element that can be created experimentally. The sound scattering investigation also serves to determine the extent to which the vortex is affected by sound, its selectivity with respect to such parameters as the acoustic frequency, the angle of incidence of the wave, etc. The perturbed motion is considered against the background of the steady-state motion of the ring. The perturbed motion in the vortex core is determined on the basis of linear incompressible fluid dynamics. Two terms of the expansion in the M number of the far acoustic field generated by the perturbations in the core are found in accordance with Lighthill's theory. The acoustic power and directivity of the radiation and the acoustic instability growth rate are calculated. It is shown that the scattering of sound by the vortex ring is a resonance effect, and the scattering amplitude near resonance is determined. The acoustic action on the hydrodynamic structure of the flow in the core of the ring is especially intense near the resonances and extends over a period short as compared with the characteristic time of the acoustic instability.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 4059045
zbMATH Keywords: mechanisms of generation and scattering of sound
zbMATH Keywords: vortex ring
zbMATH Keywords: large- scale structures
zbMATH Keywords: sound scattering investigation
zbMATH Keywords: acoustic frequency
zbMATH Keywords: steady-state motion
zbMATH Keywords: perturbed motion
zbMATH Keywords: Lighthill's theory
MaRDI profile type: Publication
cites work: Acoustic destablilization of vortices
cites work: On the scattering of sound by a vortex ring
cites work: Q5532416
cites work: Examples of steady vortex rings of small cross-section in an ideal fluid
cites work: Q5533727
cites work: Q5729945
cites work: Q5569399
description: scientific article; zbMATH DE number 4059045