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Free decay of shape oscillations of bubbles acoustically trapped in water and sea water

Published online by Cambridge University Press:  26 April 2006

Thomas J. Asaki  and
Philip L. Marston
Thomas J. Asaki
Affiliation:
Department of Physics, Washington State University, Pullman, Washington, 99164-2814, USA
Philip L. Marston
Affiliation:
Department of Physics, Washington State University, Pullman, Washington, 99164-2814, USA
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Abstract

Asymptotic results for the free decay of shape oscillations of viscous liquid spheres have been extended to include higher-order terms in the ratios of the inner and outer viscous penetration lengths to the radius. The new expressions are shown to be important for studies in which the two fluids have dissimilar densities and viscosities such as air/liquid systems. The analysis also includes an expansion for the frequency of maximum response of driven oscillations. The calculations are supported by measurements of the small-amplitude quadrupole mode free decay of nearly spherical bubbles acoustically levitated in clean water. The bubble radii ranged from 400 μm to 1400 μm. The results are interpreted in light of the initial-value problem. The lack of excess damping suggests that the interface behaves ideally for times up to two hours after bubble injection. Measurements were also carried out on bubbles in 0.5 m NaCl solution and in sea water. Larger bubbles (radius > 800 μm) in clean water exhibit damping two to four times larger than predicted by theory. The transition from this anomalous damping to theoretical damping is a very abrupt function of radius. All observations were carried out with similar acoustic fields for counteracting buoyancy. The excess damping appears to be associated with some nonlinear response of the bubble.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 300 , 10 October 1995 , pp. 149 - 167
Copyright
© 1995 Cambridge University Press

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References

Asaki, T. J. 1995 Shape oscillations of bubbles in water driven by modulated ultrasonic radiation pressure and applications to interfacial dynamics. PhD thesis, Washington State University.
Asaki, T. J. & Marston, P. L. 1994 Acoustic radiation force on a bubble driven above resonance. J. Acoust. Soc. Am. 96, 3096–3099.Google Scholar
Asaki, T. J. & Marston, P. L. 1995 Equilibrium shape of an acoustically levitated bubble driven above resonance. J. Acoust. Soc. Am. 97, 2138–2143.Google Scholar
Asaki, T. J., Marston, P. L. & Trinh, E. H. 1993 Shape oscillations of bubbles in water driven by modulated ultrasonic radiation pressure: observations and detection with scattered laser light. J. Acoust. Soc. Am. 93, 706–713.Google Scholar
Barter, J. D. 1994 Surface strain modulation of insoluble surface film properties. Phys. Fluids 6, 2606–2616.Google Scholar
Berge, L. I. 1990 Dissolution of air bubbles by the resistive pulse and the pressure reversal technique. J. Colloid Interface Sci. 134, 548–562.Google Scholar
Crum, L. A. 1994 Sonoluminescence, sonochemistry, and sonophysics. J. Acoust. Soc. Am. 95, 559–562.Google Scholar
Devin, C. 1959 Survey of thermal, radiation, and viscous damping of pulsating air bubbles in water. J. Acoust. Soc. Am. 31, 1654–1667.Google Scholar
Epstein, P. S. & Plesset, M. S. 1950 On the stability of gas bubbles in liquid-gas solutions. J. Chem. Phys. 18, 1505–1509.Google Scholar
Horne, R. A. 1969 Marine Chemistry John Wiley & Sons.
Hsu, C. J. & Apfel, R. E. 1985 A technique for measuring interfacial tension by quadrupole oscillation of drops. J. Colloid Interface Sci. 107, 467–476.Google Scholar
Hsu, C. J. & Apfel, R. E. 1987 Model for the quadrupole oscillations of drops for determining interfacial tension. J. Acoust. Soc. Am. 82, 2135–2144.Google Scholar
Lamb, H. 1932 Hydrodynamics Dover.
Liebermann, L. 1957 Air bubbles in water. J. Appl. Phys. 28, 205–211.Google Scholar
Longuet-Higgins, M. S. 1992 Nonlinear damping of bubble oscillations by resonant interaction. J. Acoust. Soc. Am. 91, 1414–1422.Google Scholar
Lu, H. & Apfel, R. E. 1990 Quadrupole oscillations of drops for studying interfacial properties. J. Colloid Interface Sci. 134, 245–255.Google Scholar
Marston, P. L. 1980 Shape oscillation and static deformation of drops and bubbles driven by modulated radiation stresses - Theory. J. Acoust. Soc. Am. 67, 15–26.Google Scholar
Marston, P. L. & Apfel, R. E. 1979 Acoustically forced shape oscillation of hydrocarbon drops levitated in water. J. Colloid Interface Sci. 68, 280–286.Google Scholar
Marston, P. L. & Apfel, R. E. 1980 Quadrupole resonance of drops driven by modulated acoustic radiation pressure - Experimental properties. J. Acoust. Soc. Am. 67, 27–37.Google Scholar
Marston, P. L. & Goosby, S. G. 1985 Ultrasonically stimulated low-frequency oscillation and breakup of immiscible liquid drops: Photographs. Phys. Fluids 28, 1233–1242.Google Scholar
Marston, P. L., Trinh, E. H., Depew, J. & Asaki, T. J. 1994 Response of bubbles to ultrasonic radiation pressure: dynamics in low gravity and shape oscillations. In Bubble Dynamics and Interface Phenomena: Proceedings of an IUTAM Symposium (ed. J. R. Blake, J. M. Boulton-Stone & N. H. Thomas), pp. 343–353. Kluwer.
Miller, C. A. & Scriven, L. E. 1968 The oscillations of a fluid droplet immersed in another fluid. J. Fluid Mech. 32, 417–435.Google Scholar
Monahan, E. C. & Patten, M. A. van (eds.) 1989 The Climate and Health Implications of Bubble-Mediated Sea-Air Exchange. Proceedings. Connecticut Sea Grant.
Prosperetti, A. 1980a Normal-mode analysis for the oscillations of a viscous liquid drop in an immiscible liquid. J. Méc. 19, 149–182.Google Scholar
Prosperetti, A. 1980b Free oscillations of drops and bubbles: the initial-value problem. J. Fluid Mech. 100, 333–347.Google Scholar
Roesler, F. C. 1951 Comment on ‘Gas bubbles in solutions’. J. Chem. Phys. 19, 512–513.Google Scholar
Scott, J. C. 1978 In Surface Contamination: Genesis, Detection, and Control, vol. 1, pp. 477–497. Plenum.
Strasberg, M. 1956 Gas bubbles as sources of sound in liquids. J. Acoust. Soc. Am. 28, 20–26.Google Scholar
Stroud, J. S. & Marston, P. L. 1993 Optical detection of transient bubble oscillations associated with the underwater noise of rain. J. Acoust. Soc. Am. 94, 2788–2792.Google Scholar
Stroud, J. S. & Marston, P. L. 1994 Transient bubble oscillations associated with the underwater noise of rain detected optically and some properties of light scattered by bubbles. In Bubble Dynamics and Interfacial Phenomena: Proc. IUTAM Symp. (ed. J. R. Blake, J. M. Boulton-Stone & N. H. Thomas), pp. 161–169. Kluwer.
Trinh, E. H., Marston, P. L. & Robey, J. L. 1988 Acoustic measurement of the surface tension of levitated drops. J. Colloid Interface Sci. 124, 95–103.Google Scholar
Trinh, E. H., Zwern, A. & Wang, T. G. 1982 An experimental study of small-amplitude drop oscillations in immiscible liquid systems. J. Fluid Mech. 115, 453–474.Google Scholar
Weast, R. C. (ed.) 1985 CRC Handbook of Chemistry and Physics. CRC Press.
Yang, S. M., Feng, Z. C. & Leal, L. G. 1993 Nonlinear effects in the dynamics of shape and volume oscillations for a gas bubble in an external flow. J. Fluid Mech. 247, 417–454.Google Scholar
Young, F. R. 1989 Cavitation. McGraw-Hill.