On the forced oscillations of a small gas bubble in a spherical liquid-filled flask

Journal of Fluid Mechanics

Volumn 414, Issue , 2000, Pages 47-73

  Nigmatulin, R I ^a   Akhatov, I Sh ^a   Vakhitova, N K ^a   Lahey Jr , R T ^b  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE; COMPRESSIBLE FLUID; OSCILLATION;

EID: 0033861730     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112000008338     Document Type: Article

References (20)

1. FEYNMAN, R. P., LEIGHTON, R. B. & SANDS, M. 1964 The Feynman Lectures on Physics. Addison-Wesley.
2. HERRING, C. 1941 Theory of the pulsations of the gas bubble produced by an underwater explosion. OSRD Rep. No. 236.
3. KNAPP, R. T., DAYLY, J. W. & HAMMIT, F. G. 1970 Cavitation. McGraw-Hill.
4. LEZZI, A. & PROSPERETTI, A. 1987 Bubble dynamics in a compressible liquid. Part 2. Second order theory. J. Fluid Mech. 185, 289.
5. LANDAU, L. D. & LIFSHITZ, E. M. 1959 Fluid Mechanics. Pergamon.
6. LOFSTEDT, R., BARBER, B. P. & PUTTERMAN, S. J. 1993 Toward a hydrodynamic theory of sonoluminescence. Phys. Fluids A 5, 2911.
7. Moss, W. C., CLARKE, D. B., WHITE, J. W. & YOUNG, D. A. 1994 Hydrodynamic simulation of bubble collapse and picosecond sonoluminescence. Phys. Fluids 6, 2979.
8. NIGMATULIN, R. I. 1991 Dynamics of Multiphase Systems, vol. 1. Hemisphere.
9. NIGMATULIN, R. I., AKHATOV, I. SH. & VAKHITOVA, N. K. 1999a Forced oscillations of a gas bubble in a spherical volume of a compressible liquid. J. Appl. Mech. Tech. Phys. 40(2), 285-291.
10. NIGMATULIN, R. I., AKHATOV, I. SH., VAKHITOVA, N. K. & LAHEY, R. T. 1999b Hydrodynamics, acoustics and transport in sonoluminescence phenomena. In Sonochemistry and Sonoluminescence (ed. L. A. Crum et al.), pp. 127-138. Kluwer.
11. NIGMATULIN, R. I. & LAHEY, R. T. 1995 Prospects of bubble fusion. In Proc. 7th Intl Meeting on Nuclear Reactor Thermal-Hydraulics (NURETH-7), vol. 1, p. 49. American Nuclear Society.
12. NIGMATULIN, R. I., SHAGAPOV, V. SH., VAKHITOVA, N. K. & LAHEY, R. T. 1995 A method for superhigh compression-induced temperatures in a gas bubble using non-periodic resonance vibration with moderate amplitudes. Phys.-Dok. (Russian Acad. Sci.) 40, 122.
13. NIGMATULIN, R. I., SHAGAPOV, V. SH., VAKHITOVA, N. K. & LAHEY, R. T. 1996 A method for superhigh compression-induced temperatures in a gas bubble using non-periodic resonance liquid pressure forcing. Chem. Engng Commun. 17, 152-153.
14. PROSPERETTI, A. 1987 The equation of bubble dynamics in a compressible liquid. Phys. Fluids 30, 3626.
15. PROSPERETTI, A. 1994 Bubble dynamics: some things we did not know 10 years ago. In Bubble Dynamics and Interface Phenomena (ed. J. Blake, J. Boulton-Stone & N. Thomas), p. 3. Kluwer.
16. PROSPERETTI, A. & LEZZI, A. 1986 Bubble dynamics in a compressible liquid. Part 1. First order theory. J. Fluid Mech. 168, 457.
17. RAYLEIGH, LORD. 1917 The pressure developed in a liquid on the collapse of a spherical cavity. Phil. Mag. 34, 94.
18. VARGAFTIK, N. B. 1972 Manual of Thermophysical Properties of Gases and Liquids. Moskow, Nauka.
19. WHITHAM, G. B. 1974 Linear and Nonlinear Waves. Wiley.
20. WU, C. C. & ROBERTS, P. H. 1993 Shock-wave propagation in a sonoluminescing gas bubble. Phys. Rev. Lett. 70, 3424.