Acoustic energy radiated by nonlinear spherical oscillations of strongly driven bubbles

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 466, Issue 2118, 2010, Pages 1829-1847

  Holzfuss, Joachim ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Cavitation; Sonoluminescence; Sound radiation

Indexed keywords

ACOUSTIC GENERATORS; ACOUSTIC PROPERTIES; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE SCATTERING; CAVITATION; SONOCHEMISTRY; SONOLUMINESCENCE; SURFACE WAVES;

ACOUSTIC ENERGY; BUBBLE RADIUS; COMPRESSIBLE LIQUID; COMPRESSIBLE MEDIUM; DRIVING FREQUENCIES; DRIVING PERIODS; ISOENERGY; LOWER FREQUENCIES; MEGAHERTZ FREQUENCIES; NANOMETRES; ORDERS OF MAGNITUDE; PARAMETER SPACES; POLYTROPIC EXPONENT; RADIAL OSCILLATION; RADIATED SOUND; SINGLE BUBBLES; SOUND EMISSION; SOUND RADIATION; SOUND RADIATIONS; SPHERICAL BUBBLES; UPPER LIMITS; WAFER CLEANING; WATER VAPOUR;

PHOTOACOUSTIC EFFECT;

EID: 77953413903     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2009.0594     Document Type: Conference Paper

References (69)

1. Ahn, Y., Yu, D., Yang, J., Kulkarni, A., Kim, J., Lee, H. & Kim, T. 2009 Damage-free design of megasonic waveguide for single wafer process. In Proc. 216th ECS Meeting, Vienna, Austria, 4-9 October 2009. Pennington, NJ: The Electrochemical Society. See http://www.electrochem.org/meetings/scheduler/ abstracts/216/2091.pdf.
2. Barber, B. P., Hiller, R. A., Löfstedt, R., Putterman, S. J. & Weninger, K. R. 1997 Defining the unknowns of sonoluminescence. Phys. Rep. 281, 65-143. (doi:10.1016/S0370-1573 (96) 00050-6)
3. Blake, F. G. 1949 Onset of cavitation in liquids. PhD thesis, Harvard University
4. Cambridge, MA. Bond, M. & Struchtrup, H. 2004 Mean evaporation and condensation coefficients based on energy dependent condensation probability. Phys. Rev. E 70, 061 605. (doi:10.1103 /PhysRevE.70.061605)
5. Brennen, C. E. 1995 Cavitation and bubble dynamics. New York, NY: Oxford University Press.
6. Brenner, M. P., Hilgenfeldt, S. & Lohse, D. 2002 ingle-bubble sonoluminescence. ev. Mod. Phys. 4, 25-484. doi:10.1103/RevModPhys.74.425)
7. Byun, K.-T. & Kwak, H.-Y. 2004 A model of laser-induced cavitation. Jpn. J. Appl. Phys. 2, 621-630. (doi:10.1143/JJAP.43.621)
8. Church, C. C. 1989 A theoretical study of cavitation generated by an extracorporeal shock wave lithotripter. J. Acoust. Soc. Am. 86, 215-227. (doi:10.1121/1.398328)
9. Church, C. C. 1990 A comparison between 'real' and 'ideal' gas in theoretical cavitation dynamics. J. Acoust. Soc. Am. 88, S166.
10. Cole, R. H. 1965 Underwater explosions. New York, NY: Dover.
11. Eames, I. W., Marr, N. J. & Sabir, H. 1997 The evaporation coefficient of water: a review. Int. J. Heat Mass Transfer 40, 2963-2973. (doi:10.1016/S0017-9310 (96) 00339-0)
12. Gaitan, D. F. & Holt, R. G. 1999 Experimental observations of bubble response and light intensity near the threshold for single bubble sonoluminescence in an air-water system. Phys. Rev. E 59, 5495-5502. (doi:10.1103/PhysRevE.59.5495)
13. Gaitan, D. F., Crum, L. A., Church, C. C. & Roy, R. A. 1992 Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble. J. Acoust. Soc. Am. 91, 3166-3183. (doi:10.1121/1.402855)
14. Gilmore, F. R. 1952 The growth or collapse of a spherical bubble in a viscous compressible liquid. Report 26-4. Pasadena, CA: Hydrodynamics Laboratory, California Institute of Technology.
15. Grossmann, S., Hilgenfeldt, S. & Lohse, D. 1997 Sound radiation of 3-MHz driven gas bubbles. J. Acoust. Soc. Am. 102, 1223-1230. (doi:10.1121/1.419936) (Pubitemid 27332845)
16. Harvie, D. J. E. & Fletcher, D. F. 2001 A simple kinetic theory treatment of volatile liquid-gas interfaces. J. Heat Transfer 123, 486-491. (doi:10.1115/1.1370519) (Pubitemid 32704511)
17. Hauke, G, Fuster, D. & Dopazo, C. 2007 Dynamics of a single cavitating and reacting bubble. Phys. Rev. E 75, 066 310. (doi:10.1103/PhysRevE. 75.066310) (Pubitemid 47140266)
18. Hertz, H. 1882 [On the evaporation of liquids, especially of mercury, in a vacuum]. Ann. Phys. 17, 178-193. [In German.]
19. Hilgenfeldt, S., Lohse, D. & Brenner, M. P. 1996 Phase diagrams for sonoluminescing bubbles. Phys. Fluids 8, 2808-2826. (doi:10.1063/1.869131)
20. Holsteyns, F., Janssens, T., Arnauts, S., der Putte, W. V., Minsier, V., Brunner, J., Straka, J. & Mertens, P. W. 2008 Ex situ bubble generation, enhancing the particle removal rate for single wafer megasonic cleaning processes. Solid State Phenom. 134, 201-204. (doi:10.4028 /www.scientific.net/ SSP.134.201)
21. Holzfuss, J. 2005 Unstable diffusion and chemical dissociation of a single sonoluminescing bubble. Phys. Rev. E 71, 026 304. (doi:10.1103/PhysRevE. 71.026304) (Pubitemid 40607047)
22. Holzfuss, J. 2008 Surface wave instabilities, period doubling and an approximate universal boundary of bubble stability at the upper threshold of sonoluminescence. Phys. Rev. E 77, 066 309. (doi:10.1103/PhysRevE.77.066309)
23. Holzfuss, J., Rüggeberg, M. & Billo, A. 1998 Shock wave emissions of a sonoluminescing bubble. Phys. Rev. Lett. 81, 5434-5437. (doi:10.1103/PhysRevLett.81.5434)
24. Holzfuss, J., Rüggeberg, M. & Holt, R. G. 2002 The acoustical stability of a sonoluminescing bubble. Phys. Rev. E 66, 046 630. (doi:10.1103/PhysRevE.66.046630) (Pubitemid 40606336)
25. Ikeda, T., Yoshizawa, S., Tosaki, M., Allen, J. S., Takagi, S., Ohta, N., Kitamura, T. & Matsumoto, Y. 2006a Cloud cavitation control for lithotripsy using high intensity focused ultrasound. Ultrasound Med. Biol. 32, 1383-1397. (doi:10.1016/j.ultrasmedbio.2006.05.010) (Pubitemid 44332653)
26. Ikeda, T., Bailey, M. R., MacConaghy, B. & Crum, L. A. 2006b Measurement of reduced stress in model kidney stones with increased rate of shock wave delivery in lithotripsy. J. Acoust. Soc. Am. 120, 3065.
27. Ivany, R. D. 1965 Collapse of a cavitation bubble in viscous compressible liquid: numerical and experimental analysis. PhD thesis, University of Michigan, Ann Arbor, MI.
28. Kamath, V., Prosperetti, A. & Egolfopoulos, F. N. 1993 A theoretical study of sonoluminescence. J. Acoust. Soc. Am. 94, 248-260. (doi:10.1121/1. 407083)
29. Kapila, V., Deymier, P. A., Shende, H., Pandit, V., Eschbach, S. & Raghavan F. O. 2006 Megasonic cleaning, cavitation, and substrate damage: an atomistic approach. Proc. SPIE 6283, 628 324.
30. Keller, J. B. & Miksis, M. 1980 Bubble oscillations of large amplitude. J. Acoust. Soc. Am. 68, 628-633. (doi:10.1121/1.384720)
31. Keswani, M., Raghavan, S., Deymier, P. & Verhaverbeke, S. 2009 Megasonic cleaning of wavers in electrolyte solutions: possible role of electro-acoustic and cavitation effects. Microelectron. Eng. 86, 132-139. (doi:10.1016/j.mee.2008.09.042)
32. Kirkwood, J. G. & Bethe, H. A. 1942 The pressure wave produced by an underwater explosion. OSRD Report no. 588. Washington, DC: Office of Scientific Research and Development.
33. Knapp, R. T., Daily, J. W. & Hammitt, F. G. 1970 Cavitation. New York, NY: McGraw-Hill.
34. Knudsen, M. 1950 Kinetic theory of gases. London, UK: Methuen and Co.
35. Landau, L. D. & Lifschitz, E. M. 1991 Hydrodynamik. Berlin, Germany: Akademie Verlag.
36. Lauterborn, W. 1976 Numerical investigation of nonlinear oscillations of gas bubbles in liquids. J. Acoust. Soc. Am. 59, 283-293. (doi:10.1121/1.380884)
37. Lauterborn, W. & Holzfuss, J. 1991 Acoustic chaos. J. Bifurcat. Chaos 1, 13-26. (doi:10.1142 /S0218127491000038)
38. Lee, Y.-P., Karng, S. W., Jeon, J.-S. & Kwak, H.-Y. 1997 Shock pulse from a sonoluminescing bubble. J. Phys. Soc. Jpn. 66, 2537-2540. (doi:10.1143/JPSJ.66.2537)
39. Leighton, T. G. 1994 The acoustic bubble. London, UK: Academic Press.
40. Lemmon, E. W., McLinden, M. O. & Friend, D. G. 1998 Thermophysical properties of fluid systems. In NIST Chemistry WebBook (eds W. G. Mallard & P. J. Linstrom). NIST Standard Reference Database no. 69. Gaithersburg, MD: National Institute of Standards and Technology. See http://webbook.nist.gov.
41. Levinsen, M. T., Weppenaar, N., Dam, J. S., Simon, G. & Skogstad, M. 2003 Direct observation of period-doubled nonspherical states in single-bubble sonoluminescence. Phys. Rev. E 68, 035303 (R). (doi:10.1103/PhysRevE.68.035303)
42. Löfstedt, R., Barber, B. P. & Putterman, S. J. 1993 Toward a hydrodynamic theory of sonoluminescence. Phys. Fluids A 5, 2911-2928. (doi:10.1063/1.858700)
43. Lohse, D. & Hilgenfeldt, S. 1997 Inert gas accumulation in sonoluminescing bubbles. J. Chem. Phys. 107, 6986. (doi:10.1063/1.474939)
44. Longuet-Higgins, M. S. 1989 Monopole emission of sound by asymmetric bubble oscillations. Part 1. Normal modes. J. Fluid Mech. 201, 525-541. (doi:10.1017/S0022112089001035)
45. Longuet-Higgins, M. S. 1990 Bubble noise spectra. J. Acoust. Soc. Am. 87, 652-661. (doi:10.1121 /1.398934)
46. Minnaert, M. 1933 On musical bubbles and the sounds of running water. Phil. Mag. Ser. 16, 235-248.
47. Minsier, V. & Proost, J. 2008 Modeling of shock wave emission during acoustically driven cavitation-induced cleaning processes. Solid State Phenom. 134, 197-200.
48. Noltingk, B. E. & Neppiras, A. A. 1950 Cavitation produced by ultrasonics. Proc. Phys. Soc. B 63, 674-685. (doi:10.1088/0370-1301/63/9/305)
49. Ohl, C.-D., Kurz, Th., Geisler, R., Lindau, O. & Lauterborn, W. 1999 Bubble dynamics, shock waves and sonoluminescence. Phil. Trans. R. Soc. Lond. A 357, 269-294. (doi:10.1098 /rsta.1999.0327)
50. Plesset, M. S. & Prosperetti, A. 1977 Bubble dynamics and cavitation. Annu. Rev. Fluid Mech. 9, 145-185. (doi:10.1146/annurev. fl.09.010177.001045)
51. Poritsky, H. 1952 The collapse and growth of a spherical bubble or cavity in a viscous fluid. In Proc. 1st U. S. National Congress on Applied Mechanics (ed. E. Sternberg), pp. 813-821. New York, NY: American Society of Mechanical Engineers.
52. Prosperetti, A. 1977 Thermal effects and damping mechanisms in forced radial oscillations of gas bubbles in liquids. J. Acoust. Soc. Am. 61, 17-27. (doi:10.1121/1.381252)
53. Radek, U. 1972 Kavitationserzeugte Druckimpulse und Materialzerstrung. Acoustica 26, 270-283.
54. Rayleigh, L. 1917 On the pressure developed in a liquid on the collapse of a spherical cavity. Phil. Mag. 34, 94.
55. Rudenko, O. V. & Soluyan, S. I. 1977 Theoretical foundations of nonlinear acoustics. New York, NY: Consultants Bureau.
56. Rüggeberg, M. 2000 Stosswellenemission und die akustische Umgebung einer sonolumineszierenden Blase. Aachen, Germany: Shaker.
57. Rüggeberg, M., Holzfuss, J. & Holt, R. G. 1998 Effects of shock-excited harmonic modes on bubble levitation, stability and SL. J. Acoust. Soc. Am. 104, 1771. (doi:10.1121/1.424094)
58. Schrage, R. W. 1953 A theoretical study of interphase mass transfer. New York, NY: Columbia University Press.
59. Shima, A., Takayama, K., Tomita, Y. & Miura, N. 1981 An experimental study on effects of a solid wall on the motion of bubbles and shock waves in bubble collapse. Acoustica 48, 293-301.
60. Storey, B. D. & Szeri, A. J. 2000 Water vapour, sonoluminescence and sonochemistry. Proc. R. Soc. Lond. A 456, 1685-1709. (doi:10.1098/rspa.2000. 0582)
61. Storey, B. D. & Szeri, A. J. 2002 Argon rectification and the cause of light emission in single-bubble sonoluminescence. Phys. Rev. Lett. 88, 074 301. (doi:10.1103/PhysRevLett.88.074301)
62. Toegel, R., Gompf, B., Pecha, R. & Lohse, D. 2000 Does water vapour prevent upscaling sonoluminescence? Phys. Rev. Lett. 85, 3165-3168. (doi:10.1103/PhysRevLett.85.3165)
63. Vazquez, G. E. & Putterman, S. J. 2000 Temperature and pressure dependence of sonoluminescence. Phys. Rev. Lett. 85, 3037-3040. (doi:10.1103/PhysRevLett.85.3037)
64. Vogel, A. 2001 Optical breakdown in water and ocular media, and its use for intraocular photodisruption. Aachen, Germany: Shaker Verlag.
65. Vogel, A. & Lauterborn, W. 1989 Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary. J. Fluid Mech. 206, 299-338. (doi:10.1017/S0022112089002314)
66. Vogel, A., Hentschel, W., Holzfuss, J. & Lauterborn, W. 1986 Cavitation bubble dynamics and acoustic transient generation in ocular surgery with pulsed neodymium: YAG lasers. Ophthalmology 93, 1259-1269.] (Pubitemid 16008988)
67. Wang, Z. Q., Pecha, R., Gompf, B. & Eisenmenger, W. 1999 Single bubble sonoluminescence: investigations of the emitted pressure wave with a fiber optic probe hydrophone. Phys. Rev. E 59, 1777-1780. (doi:10.1103/PhysRevE. 59.1777)]
68. Yasui, K. 1995 Effects of thermal conduction on bubble dynamics near the sonoluminescence threshold. J. Acoust. Soc. Am. 98, 2772-2782. (doi:10.1121/1.413242)]
69. Yasui, K. 1997 Chemical reactions in a sonoluminescing bubble. J. Phys. Soc. Jpn. 66, 2911-2920. (doi:10.1143/JPSJ.66.2911)