Toward a hydrodynamic theory of sonoluminescence

Löfstedt, Ritva; Barber, Bradley P.; Putterman, Seth

doi:10.1063/1.858700

Cited by 251 publications

(188 citation statements)

References 28 publications

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“…The first contribution in this regard was made in the original paper of Gaitan et al (1992), which demonstrated that the radius of the bubble as a function of time observed experimentally exhibits the same behavior as solutions to the Rayleigh-Plesset equation (to be derived in Sec. II); subsequently, studies by Lö fstedt et al (1993Lö fstedt et al ( , 1995 confirmed and elaborated on this conclusion. The Rayleigh-Plesset theory is remarkably simple, and it captures many important features of single-bubble sonoluminescence.…”

Section: Historical Overviewsupporting

confidence: 53%

Single-bubble sonoluminescence

2002

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Single-bubble sonoluminescence occurs when an acoustically trapped and periodically driven gas bubble collapses so strongly that the energy focusing at collapse leads to light emission. Detailed experiments have demonstrated the unique properties of this system: the spectrum of the emitted light tends to peak in the ultraviolet and depends strongly on the type of gas dissolved in the liquid; small amounts of trace noble gases or other impurities can dramatically change the amount of light emission, which is also affected by small changes in other operating parameters (mainly forcing pressure, dissolved gas concentration, and liquid temperature). This article reviews experimental and theoretical efforts to understand this phenomenon. The currently available information favors a description of sonoluminescence caused by adiabatic heating of the bubble at collapse, leading to partial ionization of the gas inside the bubble and to thermal emission such as bremsstrahlung. After a brief historical review, the authors survey the major areas of research: Section II describes the classical theory of bubble dynamics, as developed by Rayleigh, Plesset, Prosperetti, and others, while Sec. III describes research on the gas dynamics inside the bubble. Shock waves inside the bubble do not seem to play a prominent role in the process. Section IV discusses the hydrodynamic and chemical stability of the bubble. Stable single-bubble sonoluminescence requires that the bubble be shape stable and diffusively stable, and, together with an energy focusing condition, this fixes the parameter space where light emission occurs. Section V describes experiments and models addressing the origin of the light emission. The final section presents an overview of what is known, and outlines some directions for future research. CONTENTS

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Section: Historical Overviewsupporting

confidence: 53%

Single-bubble sonoluminescence

2002

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“…As shown in Table 1, the calculated values of the maximum radius and the period for each bouncing motion are in good agreement with the observed one (Loefstedt et al, 1993) can be seen. However, the bubble radius-time curve obtained by the Rayleigh equation with a polytropic relation of P b V b 1.4 =const.…”

Section: Thermal Boundary Layer Thicknesssupporting

confidence: 75%

“…However, the polytropic pressure-volume relationship fails to account the thermal damping due to heat transfer through the bubble wall because P b dV b is a perfect differential and consequently its integral over a cycle vanishes (Prosperiretti et al, 1988) where P b is the gas pressure inside the bubble and V b is the bubble volume. Furthermore, the polytropic approximation assumes the uniform temperature for the gas intrinsically, which is valid only for a particular case and it is hard to tell whether the gas inside the bubble oscillating under ultrasound behaves isothermally or adiabatically (Loefstedt et al, 1993). In this study, we have formulated a general bubble dynamics model, which is as follows.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Bubble Behavior due to Heat Transfer

Kwak¹

2011

Heat Transfer - Theoretical Analysis, Experimental Investigations and Industrial Systems

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“…The Rayleigh-Taylor equation (Rayleigh 1917) augmented with an expression for viscosity, surface tension, an incident sound wave (Rayleigh/Plesset/Noltingk/Neppiras/Poritsky) (Lauterborn 1976) and radiation damping (Löfstedt et al 1993) is frequently used. An equation with a more complete modelling of radiation damping is the one from Keller & Miksis (1980) (see also Brennen 1995)…”

Section: Radial Oscillations (A) the Gilmore Equationmentioning

confidence: 99%

Acoustic energy radiated by nonlinear spherical oscillations of strongly driven bubbles

Holzfuss

2010

Proc. R. Soc. A.

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Based on the theory of F. Gilmore (Gilmore 1952 The growth or collapse of a spherical bubble in a viscous compressible liquid) for radial oscillations of a bubble in a compressible medium, the sound emission of bubbles in water driven by high-amplitude ultrasound is calculated. The model is augmented to include expressions for a variable polytropic exponent, hardcore and water vapour. Radiated acoustic energies are calculated within a quasi-acoustic approximation and also a shock wave model. Isoenergy lines are shown for driving frequencies of 23.5 kHz and 1 MHz. Together with calculations of stability against surface wave oscillations leading to fragmentation, the physically relevant parameter space for the bubble radii is found. Its upper limit is around 6 mm for the lower frequency driving and 1-3 mm for the higher. The radiated acoustic energy of a single bubble driven in the kilohertz range is calculated to be of the order of 100 nJ per driving period; a bubble driven in the megahertz range reaches two orders of magnitude less. The results for the first have applications in sonoluminescence research. Megahertz frequencies are widely used in wafer cleaning, where radiated sound may be implicated as responsible for the damage of nanometre-sized structures.

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Toward a hydrodynamic theory of sonoluminescence

Cited by 251 publications

References 28 publications

Single-bubble sonoluminescence

Single-bubble sonoluminescence

Nonlinear Bubble Behavior due to Heat Transfer

Acoustic energy radiated by nonlinear spherical oscillations of strongly driven bubbles

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