A new approach to the effect of sound on vortex dynamics
- 1 January 1987
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 30 (8) , 2306
- https://doi.org/10.1063/1.866119
Abstract
Two questions are asked, and answered, concerning the dynamics of vortex filaments in a three‐dimensional slightly compressible fluid with constant sound speed: What is the flow (including the sound) generated by a vortex in prescribed motion? What is the response of a test vortex to an external flow? The first question is answered by a convolution of a Green’s function with a source localized at the filament; the second by a differential equation valid in the localized induction approximation. A variational principle encompassing both problems is also provided.Keywords
This publication has 17 references indexed in Scilit:
- Relativistic string coupled to massless scalar fieldPhysical Review D, 1986
- Aeroacoustics of Turbulent Shear FlowsAnnual Review of Fluid Mechanics, 1984
- Acoustic wave radiated by head-on collision of two vortex ringsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1983
- Acoustics as a branch of fluid mechanicsJournal of Fluid Mechanics, 1981
- Sound radiation from vortex systemsJournal of Sound and Vibration, 1981
- On vortex sound at low Mach numberJournal of Fluid Mechanics, 1978
- The noise from the large-scale structure of a jetJournal of Fluid Mechanics, 1978
- AeroacousticsAnnual Review of Fluid Mechanics, 1977
- Electrodynamics and the electron equation of motionPhysical Review D, 1976
- On sound generated aerodynamically I. General theoryProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952