Acoustically forced oscillations of air bubbles in water: Experimental results

Journal of the Acoustical Society of America

Volumn 91, Issue 4, 1992, Pages 1924-1932

  lynn Holt, R ^a   Crum, Lawrence A ^b  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITY OF MISSISSIPPI   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; CALIBRATION; COMPUTER ANALYSIS; FOURIER ANALYSIS; LIGHT SCATTERING; OSCILLATION;

EID: 0026695696     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.403703     Document Type: Article

References (41)

1. Lord Rayleigh, “On the pressure developed in a liquid during the collapse of a spherical cavity, “ Philos. Mag. 34, 94 (1917).
2. W. Lauterborn and W. Hentschel, “Cavitation bubble dynamics studied by high-speed photography and holography: Part two, “ Ultrasonics 24, 59(1986).
3. W. Lauterborn and A. Koch, “Holographic observation of period-doubled and chaotic bubble oscillations in acoustic cavitation, “ Phys. Rev. A 35, 1974(1987).
4. R. G. Holt and L. A. Crum, “Mie scattering used to determine spherical bubble oscillations, “ Appl. Opt. 29, 4182 (1990).
5. D.Y. Hsieh, “Some analytical aspects of bubble dynamics, “ J. Basic Eng. D 87, 991 (1965).
6. M. S. Plesset, “The dynamics of cavitation bubbles, “ J. Appl. Mech. 16, 277(1949).
7. B. E. Noltingk and E. A. Neppiras, “Cavitation produced by ultrasonics, “ Proc. Phys. Soc. London Ser. B 63, 674 (1950).
8. B. E. Noltingk and E. A. Neppiras, “Cavitation produced by ultrasonics: Theoretical conditions for onset of cavitation, “ Proc. Phys. Soc. London Ser. B 64, 1032(1951).
9. H. Poritsky, “The collapse or growth of a spherical bubble or cavity in a viscous liquid, “ in Proceedings of the 1st U.S. National Congress in Applied Mechanics (American Society of Mechanical Engineers, New York, 1952), p. 813.
10. R. Hickling and M. S. Plesset, “Collapse and rebound of a spherical bubble in water, “ Phys. Fluids 7, 7 (1964).
11. A Prosperetti, L. A. Crum, and K. W. Commander, “Nonlinear bubble dynamics, “ J. Acoust. Soc. Am. 83, 502 (1988).
12. W. Lauterborn, “Numerical investigation of nonlinear oscillations of gas bubbles in liquids, “ J. Acoust. Soc. Am. 59, 283 (1976).
13. U. Parlitz, V. Englisch, C. Scheffczyk, and W. Lauterborn, “Bifurcation structure of bubble oscillators, “ J. Acoust. Soc. Am. 88, 1061 (1990).
14. R. G. Holt and I. B. Schwartz, “Newton's method as a dynamical system: Global convergence and predictability, “ Phys. Lett. A 105, 327 (1984).
15. M. J. Feigenbaum, “The universal metric properties of nonlinear transformations, “ J. Stat. Phys. 21, 669 (1979).
16. M. J. Feigenbaum, “The onset spectrum of turbulence, “ Phys. Lett. A 74, 375(1979).
17. U. Parlitz and W. Lauterborn, “Superstructure in the bifurcation set of the Duffing equation, “ Phys. Lett. A 107, 351 (1985).
18. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer-Verlag, Berlin, 1983).
19. A. I. Eller and L. A. Crum, “Instability of the motion of a pulsating bubble in a sound field, “ J. Acoust. Soc. Am. 47, 762 (1970).
20. S. Horsburgh, “Radial instabilities of a pulsating air bubble in water, “ Ph.D. dissertation, University of Mississippi, Oxford, MS (1990).
21. H. Lamb, Hydrodynamics (Dover, New York, 1945).
22. W. Lauterborn and E. Cramer, “Subharmonic route to chaos observed in acoustics, “ Phys. Rev. Lett. 47, 1445 (1984).
23. W. Lauterborn and J. Holzfuss, “Evidence of a low-dimensional strange attractor in acoustic turbulence, “ Phys. Lett. A 115, 369 (1986).
24. L. A. Crum, “The polytropic exponent of gas contained within air bubbles pulsating in a liquid, “ J. Acoust. Soc. Am. 73, 116 (1983).
25. L. A. Crum and A. Prosperetti, “Nonlinear oscillations of gas bubbles in liquids: An interpretation of some experimental results, “ J. Acoust. Soc. Am. 73, 121 (1983).
26. W. Lauterborn, “Kavitation durch Laserlicht, “ Acustica 31, 51 (1974).
27. G. Haussmann and W. Lauterborn, “Determination of size and position of fast moving gas bubbles in liquids by digital 3-D image processing of hologram reconstructions, “ Appl. Opt. 19, 3529 (1980).
28. W. Lauterborn and A. Vogel, “Modern optical techniques in fluid mechanics, “ Ann. Rev. Fluid Mech. 16, 223 (1984).
29. W. Hentschel and W. Lauterborn, “High speed holographic movie camera, “ Opt. Eng. 24, 687 (1985).
30. W. Hentschel, H. Zarschizky, and W. Lauterborn, “Recording and automatical analysis of pulsed off-axis holograms for determination of cavitation nuclei size spectra, “ Opt. Comm. 53, 69 (1985).
31. A. Vogel and W. Lauterborn, “Time-resolved particle image velocimetry used in the investigation of cavitation bubble dynamics, “ Appl. Opt. 27, 1869(1988).
32. W. Lauterborn, J. Holzfuss, and A. Koch, “Recent advances in cavitation research at Gottingen University, “ in Proceedings of the 1986 International Symposium on Cavitation, edited H. Murai (Sendai, Japan, 1986).
33. L. A. Crum, “Measurements of the growth of air bubbles by rectified diffusion, “ J. Acoust. Soc. Am. 68, 203 (1980).
34. G. M. Hansen, “Mie scattering as a technique for the sizing of air bubbles, “ Appl. Opt. 24, 3214 (1985).
35. P. L. Marston, “Critical angle scattering by a bubble: physical-optics approximation and observations, “ J. Opt. Soc. Am. 69, 1205 (1979).
36. D. S. Langley and P. L. Marston, “Critical angle scattering of laser light from bubbles in water: measurements, models, and application to sizing of bubbles, “ Appl. Opt. 23, 1044 (1984).
37. M. Strasberg, “Onset of ultrasonic cavitation in tap water, “ J. Acoust. Soc. Am. 31, 163 (1959).
38. L. A. Crum and A. Prosperetti, “Erratum and Comments on’Nonlinear oscillations of gas bubbles in liquids: an interpretation of some experimental results,’ “ J. Acoust. Soc. Am. 73, 121 (1983).
39. R. G. Holt, J. Holzfuss, A. Judt, A. Phillip, and S. Horsburgh, “Forced nonlinear oscillations of single air bubbles in water: experimental results, “ in Frontiers in Nonlinear Acoustics: 1st International Symposium on Nonlinear Acoustics (Elsevier, London, 1990).
40. H. G. Schuster, Deterministic Chaos (VCH, Weinheim, 1989).
41. C. Grebogi, E. Ott, and J. Yorke, “Critical exponents of chaotic transients in nonlinear dynamical systems, “ Phys. Rev. Lett. 57, 1284 (1986).