ANZIAM J.
47 (2006), 333-358
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Including ionisation in a simple model of single-bubble sonoluminescence
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Angus I. S. Munro
School of Mathematics and Physics
University of Tasmania
Private Bag 37
Hobart, Tasmania
Australia
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Larry K. Forbes
School of Mathematics and Physics
University of Tasmania
Private Bag 37
Hobart, Tasmania
Australia
Larry.Forbes@utas.edu.au
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Abstract
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A small gas bubble in a liquid, when driven by
intense ultrasound, collapses and emits light in
a process called Single-Bubble Sonoluminescence
(SBSL). While the dynamics of driven bubbles are
well studied, less is known of the physical
conditions in the gas or whether it is necessary
to include ionisation in simpler studies of
bubble dynamics. In this study, a model was
derived from Rayleigh-Plesset dynamics, a van der
Waals equation of state and the first law of
thermodynamics (including interfacial heat
transfer and ionisation). Stronger model
ionisation reduced the maximum collapse
temperature, and altered other collapse
characteristics. Chaotic parameter regions are
proximal to, but not coincident with, known
stable SL regions. Resonant behaviour was only
markedly affected by ionisation close to these
chaotic regions.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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