Dynamics and acoustics of a spherical bubble rising under gravity in an inviscid liquid

Journal of the Acoustical Society of America

Volumn 140, Issue 3, 2016, Pages 1488-1497

  Riccardi, Giorgio ^a,b   De Bernardis, Enrico ^b  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

^b CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

ACOUSTIC SIGNALS; ELLIPTIC INTEGRALS; INVISCID LIQUID; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL INTEGRATIONS; PRESSURE DISTURBANCE; SPECIAL FUNCTIONS; SPHERICAL BUBBLES;

LIQUIDS;

EID: 84984893127     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.4962160     Document Type: Article

References (26)

1. Batchelor, G. K. (1967). An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge), Chap. 6, pp. 452-455.
2. Brennen, C. E. (1995). Cavitation and Bubble Dynamics (Oxford University Press, Oxford), Chap. 2, pp. 34-40; Chap. 4, pp. 100-103.
3. Ceccio, S. L., and Brennen, C. E. (1991). "Observations of the dynamics and acoustics of travelling bubble cavitation," J. Fluid Mech. 233, 633-660. 10.1017/S0022112091000630
4. Chakraborty, B. B. (1990). "Effect of a viscous fluid flow past a spherical gas bubble on the growth of its radius," Proc.-Indian Acad. Sci., Math. Sci. 100 (2), 185-188. 10.1007/BF02880962
5. Chakraborty, B. B., and Tuteja, G. S. (1993). "Motion of an expanding, spherical gas bubble in a viscous liquid under gravity," Phys. Fluids 5 (8), 1879-1882. 10.1063/1.858813
6. Chang, N. A., and Ceccio, S. L. (2011). "The acoustic emissions of cavitation bubbles in stretched vortices," J. Acoust. Soc. Am. 130 (5), 3209-3219. 10.1121/1.3626121
7. Choi, J., and Ceccio, S. L. (2007). "Dynamics and noise emission of vortex cavitation bubbles," J. Fluid Mech. 575, 1-26. 10.1017/S0022112006003776
8. De Bernardis, E., and Riccardi, G. (2015). "Acoustics of a bubble rising in a gravitational field," in Proc. 22nd International Congress on Sound and Vibration, Florence, Italy, 12-16 July 2015 (CD ROM, ISBN 978-88-88942-48-3, available from The International Institute of Acoustics and Vibration, http://www.iiav.org), paper 839.
9. Doinikov, A. A. (2002). "Translational motion of a spherical bubble in an acoustic standing wave of high intensity," Phys. Fluids 14 (4), 1420-1425. 10.1063/1.1458597
10. Doinikov, A. A. (2004). "Translational motion of a bubble undergoing shape oscillations," J. Fluid Mech. 501, 1-24. 10.1017/S0022112003006220
11. Farassat, F. (2007). "Derivation of formulations 1 and 1A of Farassat," Tech. Rep. TM-2007-214853, NASA.
12. Ffowcs Williams, J. E., and Hawkings, D. L. (1969). "Sound generation by turbulence and surfaces in arbitrary motion," Philos. Trans. R. Soc. London, A 264, 321-342. 10.1098/rsta.1969.0031
13. Gordillo, J. M., Lalanne, B., Risso, F., Legendre, D., and Tanguy, S. (2012). "Unsteady rising of clean bubble in low viscosity liquid," Bubble Sci., Eng., Technol. 4 (1), 4-11. 10.1179/1758897912Y.0000000002
14. Jamaluddin, A. R., Ball, G. J., Turangan, C. K., and Leighton, T. G. (2011). "The collapse of single bubbles and approximation of the far-field acoustic emissions for cavitation induced by shock wave lithotripsy," J. Fluid Mech. 677, 305-341. 10.1017/jfm.2011.85
15. Keller, J. B., and Miksis, M. (1980). "Bubble oscillations of large amplitude," J. Acoust. Soc. Am. 68 (2), 628-633. 10.1121/1.384720
16. Klaseboer, E., and Khoo, B. C. (2006). "A modified Rayleigh-Plesset model for a non-spherically symmetric oscillating bubble with applications to boundary integral methods," Eng. Anal. Boundary Elem. 30, 59-71. 10.1016/j.enganabound.2005.09.003
17. Leighton, T. G. (1994). The Acoustic Bubble (Academic, London), Chap. 3, pp. 149-165.
18. Magnaudet, J., and Legendre, D. (1998). "The viscous drag force on a spherical bubble with a time-dependent radius," Phys. Fluids 10 (3), 550-554. 10.1063/1.869582
19. Plesset, M. S. (1954). "On the stability of fluid flows with spherical symmetry," J. Appl. Phys. 25 (1), 96-98. 10.1063/1.1721529
20. Prosperetti, A., and Lezzi, A. (1986). "Bubble dynamics in a compressible liquid. Part 1. First order theory," J. Fluid Mech. 168, 457-478. 10.1017/S0022112086000460
21. Reddy, A. J., and Szeri, A. J. (2002a). "Coupled dynamics of translation and collapse of acoustically driven microbubbles," J. Acoust. Soc. Am. 112 (4), 1346-1352. 10.1121/1.1502899
22. Reddy, A. J., and Szeri, A. J. (2002b). "Shape stability of unsteadily translating bubbles," Phys. Fluids 14 (7), 2216-2224. 10.1063/1.1483840
23. Shaw, S. J. (2006). "Translation and oscillation of a bubble under axisymmetric deformation," Phys. Fluids 18, 072104. 10.1063/1.2227047
24. Strasberg, M. (1956). "Gas bubbles as sources of sound in liquids," J. Acoust. Soc. Am. 28 (1), 20-26. 10.1121/1.1908212
25. Tuteja, G. S., Khattar, D., Chakraborty, B. B., and Bansal, S. (2010). "Study of an expanding, spherical gas bubble in a liquid under gravity when the centre moves in a vertical plane," Int. J. Contemp. Math. Sci. 5 (22), 1065-1075, available at http://www.m-hikari.com/ijcms-2010/21-24-2010/khattarIJCMS21-24-2010.pdf.
26. Yang, B., Prosperetti, A., and Takagi, S. (2003). "The transient rise of a bubble subject to shape or volume changes," Phys. Fluids 15 (9), 2640-2648. 10.1063/1.1592800