The air bubble: Experiments on an unusual harmonic oscillator

American Journal of Physics

Volumn 70, Issue 10, 2002, Pages 1012-1019

  Leroy, Valentin ^a   Devaud, Martin ^a   Bacri, Jean Claude ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044533992     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1503797     Document Type: Article

References (19)

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2. M. Strasberg "Gas bubbles as sources of sound in liquids, " J. Acoust. Soc. Am. 28 20-26 (1956).
3. E. L. Cartensen and L. L. Foldy "Propagation of sound through a liquid containing bubbles, " J. Acoust. Soc. Am. 19 481-501 (1947).
4. C. Devin "Survey of thermal radiation and viscous damping of pulsating air bubbles in water, " J. Acoust. Soc. Am. 31 1654-1667 (1959).
5. A. Prosperetti "Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids, " J. Acoust. Soc. Am. 61 17-27 (1977).
6. A. Prosperetti "Nonlinear oscillations of gas bubbles in liquids: steady-state solutions, " J. Acoust. Soc. Am. 56 878-885 (1974).
7. P.-Y. Hsiao M. Devaud and J.-C. Bacri "Acoustic coupling between two air bubbles in water, " Eur. Phys. J. E 4 5-10 (2001).
8. M. Strasberg "The pulsation frequency of nonspherical gas bubbles in liquids, " J. Acoust. Soc. Am. 25 536-537 (1953).
9. V. V. Bredikhin Yu. A. Kobelev and N. I. Vasilinenko "Autophasing of the free volume oscillations of air cavities in water, " J. Acoust. Soc. Am 103 1775-1786 (1998).
10. S. D. Howkins "Measurements of the resonant frequency of a bubble near a rigid boundary, " J. Acoust. Soc. Am. 37 504-208 (1964).
11. T. G. Leighton The Acoustic Bubble (Academic London 1994).
12. T. G. Leighton and A. J. Walton "An experimental study of the sound emitted from gas bubbles in a liquid, " Eur. J. Phys. 8 98-104 (1987).
13. Note that the latter assumption implies that the pressure is homogeneous inside the bubble.
14. Reference 11 pp. 182-184.
15. -xΓ(t - t') ξ(t') dt which corresponds after the Fourier transform of Eq. (9) to a frequency dependent effective damping rate Γ. The numerical values given in the text are calculated at the resonance frequency.
16. In fact things are more complicated: the bubble contribution to the extra-pressure measured by the microphone is proportional to ξ [see Eq. (10)] that is 180° out of phase with ξ. In other respects an additional phase opposition is due to the minus sign in the right-hand side of Eq. (12). The statement of the text results from the cancellation of both the above phase oppositions.
17. 2|
18. 0 from a surface (free or rigid) is changed by only 0.5%. Furthermore and fortunately because the tank walls were found not to be really rigid surfaces they do not give rise to image effects.
19. We remind the reader that the use of a lock-in amplifier is optional and a simple oscilloscope is adequate when precise accuracy is not required.