Geometrical effects in resonant gas oscillations
- 1 December 1993
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 257 (-1), 201-217
- https://doi.org/10.1017/s0022112093003040
Abstract
It is known that the response of a cylindrical acoustic resonator to excitation by an oscillating piston can contain shock waves if the detuning is sufficiently small. However, the response of a spherical annular resonator is continuous, with an amplitude that depends on the detuning in the same way as does a Duffing equation. This paper discusses the response in resonators that deviate from being cylindrical and shows that, in general, the detuning range in which shocks are possible decreases as the geometrical imperfection increases.This publication has 14 references indexed in Scilit:
- Nonlinear acoustics in non-uniform infinite and finite layersJournal of Fluid Mechanics, 1993
- Acoustic resonance in spherically symmetric wavesProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1991
- Resonant sloshing in shallow waterJournal of Fluid Mechanics, 1986
- Resonant oscillations of a gas in an open-ended tubeProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1981
- Resonant oscillations in closed tubes: the solution of Chester's equationJournal of Fluid Mechanics, 1976
- Resonant surface wavesJournal of Fluid Mechanics, 1973
- Resonant oscillations of water waves I. TheoryProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1968
- Resonant oscillations of water waves. II. ExperimentProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1968
- Periodic vibrations of systems governed by nonlinear partial differential equationsCommunications on Pure and Applied Mathematics, 1966
- Resonant oscillations in closed tubesJournal of Fluid Mechanics, 1964