A generalization of the impulse and virial theorems with an application to bubble oscillations

Hasan N. Oguz; Andrea Prosperetti

doi:10.1017/S0022112090000957

1993. Self-propulsion of general deformable shapes in a perfect fluid. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, Vol. 442, Issue. 1915, p. 273.

Galper, A. and Miloh, T. 1994. Bubble Dynamics and Interface Phenomena. Vol. 23, Issue. , p. 73.

Doinikov, A. A. and Zavtrak, S. T. 1995. On the mutual interaction of two gas bubbles in a sound field. Physics of Fluids, Vol. 7, Issue. 8, p. 1923.

Medwin, Herman 1996. Laboratory acoustical studies of micro-scale sea surface activity during wind and rain. p. 77.

Doinikov, A. A. and Zavtrak, S. T. 1997. Radiation forces between two bubbles in a compressible liquid. The Journal of the Acoustical Society of America, Vol. 102, Issue. 3, p. 1424.

Mettin, R. Akhatov, I. Parlitz, U. Ohl, C. and Lauterborn, W. 1997. Bjerknes forces between small cavitation bubbles in a strong acoustic field. Physical Review E, Vol. 56, Issue. 3, p. 2924.

Doinikov, Alexander A. 1999. Effects of the second harmonic on the secondary Bjerknes force. Physical Review E, Vol. 59, Issue. 3, p. 3016.

Blake, J. R. Parlitz, U. Mettin, R. Luther, S. Akhatov, I. Voss, M. and Lauterborn, W. 1999. Spatio–temporal dynamics of acoustic cavitation bubble clouds. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 357, Issue. 1751, p. 313.

Lauterborn, W. Kurz, T. Mettin, R. and Ohl, C. D. 1999. Advances in Chemical Physics. Vol. 110, Issue. , p. 295.

Hao, Y. and Prosperetti, A. 2000. The collapse of vapor bubbles in a spatially non-uniform flow. International Journal of Heat and Mass Transfer, Vol. 43, Issue. 19, p. 3539.

Nystuen, Jeffrey A. 2001. Listening to Raindrops from Underwater: An Acoustic Disdrometer. Journal of Atmospheric and Oceanic Technology, Vol. 18, Issue. 10, p. 1640.

Doinikov, Alexander A. 2002. Viscous effects on the interaction force between two small gas bubbles in a weak acoustic field. The Journal of the Acoustical Society of America, Vol. 111, Issue. 4, p. 1602.

van der Geld, C.W.M. 2002. On the motion of a spherical bubble deforming near a plane wall. Journal of Engineering Mathematics, Vol. 42, Issue. 2, p. 91.

PROSPERETTI, ANDREA and HAO, YUE 2002. Vapor Bubbles in Flow and Acoustic Fields. Annals of the New York Academy of Sciences, Vol. 974, Issue. 1, p. 328.

Ida, Masato 2003. Alternative interpretation of the sign reversal of secondary Bjerknes force acting between two pulsating gas bubbles. Physical Review E, Vol. 67, Issue. 5,

Allen, John S. Kruse, Dustin E. Dayton, Paul A. and Ferrara, Katherine W. 2003. Effect of coupled oscillations on microbubble behavior. The Journal of the Acoustical Society of America, Vol. 114, Issue. 3, p. 1678.

Doinikov, Alexander A. 2004. Mathematical model for collective bubble dynamics in strong ultrasound fields. The Journal of the Acoustical Society of America, Vol. 116, Issue. 2, p. 821.

Barbat, Tiberiu and Ashgriz, Nasser 2004. Planar dynamics of two interacting bubbles in an acoustic field. Applied Mathematics and Computation, Vol. 157, Issue. 3, p. 775.

Ida, Masato 2004. Investigation of Transition Frequencies of Two Acoustically Coupled Bubbles Using a Direct Numerical Simulation Technique. Journal of the Physical Society of Japan, Vol. 73, Issue. 11, p. 3026.

Manasseh, Richard Nikolovska, Aneta Ooi, Andrew and Yoshida, Shizuo 2004. Anisotropy in the sound field generated by a bubble chain. Journal of Sound and Vibration, Vol. 278, Issue. 4-5, p. 807.

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