Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles
| dc.creator | Ida, Masato | |
| dc.date | 2001-08-28 | |
| dc.date | 2002-04-01 | |
| dc.date.accessioned | 2026-07-07T05:46:13Z | |
| dc.date.available | 2026-07-07T05:46:13Z | |
| dc.description | ``Transition frequencies'' of a system containing an arbitrary number of bubbles levitated in a liquid are discussed. Using a linear coupled-oscillator model, it is shown theoretically that when the system contains $N$ bubbles of different sizes, each bubble has $2N - 1$ (or less) transition frequencies which make the phase difference between an external sound and a bubble's pulsation $π/ 2$. Furthermore, we discuss a discrepancy appearing between the present result regarding the transition frequencies and existing ones for the resonance frequencies in a two-bubble case, and show that the transition frequency, defined as above, and the resonance frequency have a different physical meaning when $N \ge 2$, while they are consistent for $N = 1$. | |
| dc.description | 5 pages, Revtex; "Eigenfrequency" replaced with "transition frequency", a numerical example added, and references removed | |
| dc.identifier | https://arxiv.org/abs/physics/0108056 | |
| dc.identifier | http://arxiv.org/abs/physics/0108056 | |
| dc.identifier | J. Phys. Soc. Jpn. 71 (2002) 1214-1217 | |
| dc.identifier | doi:10.1143/JPSJ.71.1214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84260 | |
| dc.subject | Fluid Dynamics | |
| dc.subject | Atmospheric and Oceanic Physics | |
| dc.title | Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles | |
| dc.type | text |