dorsal/arxiv
View SchemaAlternative interpretation of the sign reversal of secondary Bjerknes force acting between two pulsating gas bubbles
| Authors | Masato Ida |
|---|---|
| Categories | |
| ArXiv ID | physics/0109005 |
| URL | https://arxiv.org/abs/physics/0109005 |
| DOI | 10.1103/PhysRevE.67.056617 |
| Journal | Phys. Rev. E 67, 056617 (2003) |
Abstract
It is known that in a certain case, the secondary Bjerknes force, which is a radiation force acting between pulsating bubbles, changes, e.g., from attraction to repulsion as the bubbles approach each other. In this paper, a theoretical discussion of this phenomenon for two spherical bubbles is described. The present theory based on analysis of the transition frequencies of interacting bubbles [M. Ida, Phys. Lett. A 297, 210 (2002)] provides an interpretation, different from previous ones (e.g., by Doinikov and Zavtrak [Phys. Fluids 7, 1923 (1995)]), of the phenomenon. It is shown, for example, that the reversal that occurs when one bubble is smaller and another is larger than a resonance size is due to the second-highest transition frequency of the smaller bubble, which cannot be obtained using traditional natural-frequency analysis.
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"abstract": "It is known that in a certain case, the secondary Bjerknes force, which is a\nradiation force acting between pulsating bubbles, changes, e.g., from\nattraction to repulsion as the bubbles approach each other. In this paper, a\ntheoretical discussion of this phenomenon for two spherical bubbles is\ndescribed. The present theory based on analysis of the transition frequencies\nof interacting bubbles [M. Ida, Phys. Lett. A 297, 210 (2002)] provides an\ninterpretation, different from previous ones (e.g., by Doinikov and Zavtrak\n[Phys. Fluids 7, 1923 (1995)]), of the phenomenon. It is shown, for example,\nthat the reversal that occurs when one bubble is smaller and another is larger\nthan a resonance size is due to the second-highest transition frequency of the\nsmaller bubble, which cannot be obtained using traditional natural-frequency\nanalysis.",
"arxiv_id": "physics/0109005",
"authors": [
"Masato Ida"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph",
"physics.class-ph"
],
"doi": "10.1103/PhysRevE.67.056617",
"journal_ref": "Phys. Rev. E 67, 056617 (2003)",
"title": "Alternative interpretation of the sign reversal of secondary Bjerknes force acting between two pulsating gas bubbles",
"url": "https://arxiv.org/abs/physics/0109005"
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