dorsal/arxiv
View SchemaNumber of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles
| Authors | Masato Ida |
|---|---|
| Categories | |
| ArXiv ID | physics/0108056 |
| URL | https://arxiv.org/abs/physics/0108056 |
| DOI | 10.1143/JPSJ.71.1214 |
| Journal | J. Phys. Soc. Jpn. 71 (2002) 1214-1217 |
Abstract
``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 $\pi / 2$. 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 $N = 1$.
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"abstract": "``Transition frequencies\u0027\u0027 of a system containing an arbitrary number of\nbubbles levitated in a liquid are discussed. Using a linear coupled-oscillator\nmodel, it is shown theoretically that when the system contains $N$ bubbles of\ndifferent sizes, each bubble has $2N - 1$ (or less) transition frequencies\nwhich make the phase difference between an external sound and a bubble\u0027s\npulsation $\\pi / 2$. Furthermore, we discuss a discrepancy appearing between\nthe present result regarding the transition frequencies and existing ones for\nthe resonance frequencies in a two-bubble case, and show that the transition\nfrequency, defined as above, and the resonance frequency have a different\nphysical meaning when $N \\ge 2$, while they are consistent for $N = 1$.",
"arxiv_id": "physics/0108056",
"authors": [
"Masato Ida"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph"
],
"doi": "10.1143/JPSJ.71.1214",
"journal_ref": "J. Phys. Soc. Jpn. 71 (2002) 1214-1217",
"title": "Number of Transition Frequencies of a System Containing an Arbitrary Number of Gas Bubbles",
"url": "https://arxiv.org/abs/physics/0108056"
},
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