Abstract
A spherical bubble in a liquid can be viewed as a nonlinear oscillator that can be set into radial oscillations by a sound field. At larger oscillation amplitudes this oscillation must become nonlinear because the bubble can be elongated from its equilibrium radius to arbitrarily large radius values, but can be compressed only down to near zero radius. Bubbles of different radius at rest R n respond differently to the same sound field. This study reports on numerical investigations of this response for bubbles of 1 μm ≤ R n ≤ 500 μm for sound field frequencies in the near ultrasonic range and sound pressure amplitudes up to 150 kPa. Special attention is paid to the giant resonance at small radii [1].
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References
Lauterborn, W. (1968) On the dependence of erosion and luminescence on the sound pressure amplitude in cavitation (in German), Acustica 20, 105–108.
Gilmore, F. R. (1952) The growth or collapse of a spherical bubble in a viscous compressible liquid, Report No. 26–4, Hydrodynamics Laboratory, California Institute of Technology, Pasadena, California, USA.
Löfstedt, R., Barber, B. P. and Putterman, S. J. (1993) Toward a hydrodynamic theory of sonoluminescence, Phys. Fluids A5, 2911–2928.
Lauterborn, W. (1976) Investigation of nonlinear oscillations of gas bubbles in liquids, J. Acoust. Soc. Am. 59, 283–293.
Lauterborn, W. and Parlitz, U. (1988) Methods of chaos physics and their applications to acoustics, J. Acoust. Soc. Am. 84, 1975–1993.
Parlitz, U., Englisch, V., Scheffczyk, C. and Lauterborn, W. (1990) Bifurcation structure of bubble oscillators, J. Acoust. Soc. Am. 88, 1061–1077.
Strube, H. W. (1971) Numerical investigations on the stability of bubbles oscillating non-spherically (in German), Acustica 25, 289–301.
Hilgenfeldt, S., Lohse, D. and Brenner M. P. (1996) Phase diagrams for sonoluminescing bubbles, Phys. Fluids 8, 2808–2826.
Akhatov, I., Gumerov, N., Ohl, C. D., Parlitz, U. and Lauterborn, W. (1997) The role of surface tension in stable single-bubble sonoluminescence, Phys. Rev. Lett. 78, 227–230.
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© 1999 Springer Science+Business Media Dordrecht
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Lauterborn, W., Mettin, R. (1999). Nonlinear Bubble Dynamics. In: Crum, L.A., Mason, T.J., Reisse, J.L., Suslick, K.S. (eds) Sonochemistry and Sonoluminescence. NATO ASI Series, vol 524. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9215-4_4
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DOI: https://doi.org/10.1007/978-94-015-9215-4_4
Publisher Name: Springer, Dordrecht
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