dorsal/arxiv
View SchemaSingle-bubble sonoluminescence: Shape stability analysis of collapse dynamics in a semianalytical approach
| Authors | Vladislav A. Bogoyavlenskiy |
|---|---|
| Categories | |
| ArXiv ID | physics/0009049 |
| URL | https://arxiv.org/abs/physics/0009049 |
| DOI | 10.1103/PhysRevE.62.2158 |
| Journal | Phys. Rev. E 62, 2158 (2000) |
Abstract
This paper theoretically analyzes the hydrodynamic shape stability problem for sonoluminescing bubbles. We present a semianalytical approach to describe the evolution of shape perturbations in the strongly nonlinear regime of violent collapse. The proposed approximation estimating the damping rate produced by liquid viscosity is used to elucidate the influence of the collapse phase on subsequent evolution of the Rayleigh-Taylor instability. We demonstrate that time derivatives of shape perturbations grow significantly as the bubble radius vanishes, forming the dominant contribution to destabilization during the ensuing bounce phase. By this effect the Rayleigh-Taylor instability can be enhanced drastically, yielding a viable explanation of the upper threshold of driving pressure experimentally observed by Barber et al. [Phys. Rev. Lett. 72, 1380 (1994)].
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"abstract": "This paper theoretically analyzes the hydrodynamic shape stability problem\nfor sonoluminescing bubbles. We present a semianalytical approach to describe\nthe evolution of shape perturbations in the strongly nonlinear regime of\nviolent collapse. The proposed approximation estimating the damping rate\nproduced by liquid viscosity is used to elucidate the influence of the collapse\nphase on subsequent evolution of the Rayleigh-Taylor instability. We\ndemonstrate that time derivatives of shape perturbations grow significantly as\nthe bubble radius vanishes, forming the dominant contribution to\ndestabilization during the ensuing bounce phase. By this effect the\nRayleigh-Taylor instability can be enhanced drastically, yielding a viable\nexplanation of the upper threshold of driving pressure experimentally observed\nby Barber et al. [Phys. Rev. Lett. 72, 1380 (1994)].",
"arxiv_id": "physics/0009049",
"authors": [
"Vladislav A. Bogoyavlenskiy"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.62.2158",
"journal_ref": "Phys. Rev. E 62, 2158 (2000)",
"title": "Single-bubble sonoluminescence: Shape stability analysis of collapse dynamics in a semianalytical approach",
"url": "https://arxiv.org/abs/physics/0009049"
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