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Analysis of Rayleigh–Plesset dynamics for sonoluminescing bubbles
Recent work on single-bubble sonoluminescence (SBSL) has shown that many features of this phenomenon, especially the dependence of SBSL intensity and stability on experimental parameters, can be explained within a hydrodynamic approach. More specifically, many important properties can be derived fro...
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Published in: | Journal of fluid mechanics 1998-06, Vol.365, p.171-204, Article S0022112098001207 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that cite this one |
Online Access: | Get full text |
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Summary: | Recent work on single-bubble sonoluminescence (SBSL) has shown
that many features
of this phenomenon, especially the dependence of SBSL intensity and stability
on
experimental parameters, can be explained within a hydrodynamic approach.
More
specifically, many important properties can be derived from an analysis
of bubble
wall dynamics. This dynamics is conveniently described by the Rayleigh–Plesset
(RP)
equation. Here we derive analytical approximations for RP dynamics and
subsequent
analytical laws for parameter dependences. These results include (i) an
expression
for the onset threshold of SL, (ii) an analytical explanation of the transition
from
diffusively unstable to stable equilibria for the bubble ambient radius
(unstable and
stable sonoluminescence), and (iii) a detailed understanding of the resonance
structure
of the RP equation. It is found that the threshold for SL emission is shifted
to larger
bubble radii and larger driving pressures if surface tension is increased,
whereas even
a considerable change in liquid viscosity leaves this threshold virtually
unaltered. As
an enhanced viscosity stabilizes the bubbles to surface oscillations, we
conclude that
the ideal liquid for violently collapsing, surface-stable SL bubbles should
have small
surface tension and large viscosity, although too large viscosity
(ηl[ges ]40ηwater) will
again preclude collapses. |
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ISSN: | 0022-1120 1469-7645 |
DOI: | 10.1017/S0022112098001207 |