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Physics of Fluids / Volume 8 / Issue 11

Phys. Fluids 8, 2808 (1996); http://dx.doi.org/10.1063/1.869131 (19 pages)

Phase diagrams for sonoluminescing bubbles

Sascha Hilgenfeldt1, Detlef Lohse1, and Michael P. Brenner2

1Fachbereich Physik der Universität Marburg, Renthof 6, 35032 Marburg, Germany
2Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

(Received 29 May 1996; accepted 23 July 1996)

Sound driven gas bubbles in water can emit light pulses. This phenomenon is called sonoluminescence (SL). Two different phases of single bubble SL have been proposed: diffusively stable and diffusively unstable SL. We present phase diagrams in the gas concentration versus forcing pressure state space and also in the ambient radius versus gas concentration and versus forcing pressure state spaces. These phase diagrams are based on the thresholds for energy focusing in the bubble and two kinds of instabilities, namely (i) shape instabilities and (ii) diffusive instabilities. Stable SL only occurs in a tiny parameter window of large forcing pressure amplitude Pa∼1.2–1.5 atm and low gas concentration of less than 0.4% of the saturation. The upper concentration threshold becomes smaller with increased forcing. Our results quantitatively agree with experimental results of Putterman’s UCLA group on argon, but not on air. However, air bubbles and other gas mixtures can also successfully be treated in this approach if in addition (iii) chemical instabilities are considered. All statements are based on the Rayleigh–Plesset ODE approximation of the bubble dynamics, extended in an adiabatic approximation to include mass diffusion effects. This approximation is the only way to explore considerable portions of parameter space, as solving the full PDEs is numerically too expensive. Therefore, we checked the adiabatic approximation by comparison with the full numerical solution of the advection diffusion PDE and find good agreement. © 1996 American Institute of Physics.

ERRATUM

  1. Erratum: "Phase diagrams for sonoluminescing bubbles" [Phys. Fluids 8, 2808 (1996)]
    Sascha Hilgenfeldt et al.
    Phys. Fluids 9, 2462 (1997)PHFLE6000009000008002462000001

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KEYWORDS and PACS

Keywords

BUBBLES, SONOLUMINESCENCE, SOUND WAVES, PHASE DIAGRAMS, INSTABILITY, ADIABATIC APPROXIMATION, ARGON, AIR

PACS

  • 78.60.Mq

    Sonoluminescence, triboluminescence

  • 02.30.Hq

    Ordinary differential equations

  • 02.30.Jr

    Partial differential equations

  • 64.60.-i

    General studies of phase transitions

  • 82.70.-y

    Disperse systems; complex fluids

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.869131

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

For access to fully linked references, you need to log in.
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    B. P. Barber, K. Weninger, R. Löfstedt, and S. J. Putterman, "Observation of a new phase of sonoluminescence at low partial pressures," Phys. Rev. Lett. 74, 5276 (1995).

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    H. P. Greenspan and A. Nadim, "On sonoluminescence of an oscillating gas bubble," Phys. Fluids A 5, 1065 (1993PFADEB000005000004001065000001).

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