1980
DOI: 10.1121/1.384720
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Bubble oscillations of large amplitude

Abstract: A new equation is derived for large amplitude forced radial oscillations of a bubble in an incident sound field. It includes the effects of acoustic radiation, as in Keller and Kolodner's equation, and the effects of viscosity and surface tension, as in the modified Rayleigh equation due to Plesset, Noltingk and Neppirs, and Poritsky. The free and forced periodic solutions are computed numerically. For large bubbles, such as underwater explosion bubbles, the free oscillations agree with those obtained by Kelle… Show more

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Cited by 1,085 publications
(361 citation statements)
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“…The Minneart equation and its variations (eg, Rayleigh-Plesset equation), which express the resonance frequency of bubbles in an acoustic field, do not consent valid oscillations at the frequencies used in medical practice and for air structures with dimensions similar to those that make up both normal and pathologic lung cortex (on the order of 10-100 µm). 34,35 Microbubbles can have vibrational resonance at very specific frequencies, as seen with sonographic contrast agents, but their resonance does not cause the artifacts that are seen in lung scans, and they in fact behave like Rayleigh scatterers. 36 If this were true, in fact, ring-down artifacts would also be seen when bubble contrast agents are introduced into the bloodstream.…”
Section: Discussionmentioning
confidence: 99%
“…The Minneart equation and its variations (eg, Rayleigh-Plesset equation), which express the resonance frequency of bubbles in an acoustic field, do not consent valid oscillations at the frequencies used in medical practice and for air structures with dimensions similar to those that make up both normal and pathologic lung cortex (on the order of 10-100 µm). 34,35 Microbubbles can have vibrational resonance at very specific frequencies, as seen with sonographic contrast agents, but their resonance does not cause the artifacts that are seen in lung scans, and they in fact behave like Rayleigh scatterers. 36 If this were true, in fact, ring-down artifacts would also be seen when bubble contrast agents are introduced into the bloodstream.…”
Section: Discussionmentioning
confidence: 99%
“…The Rayleigh-Taylor equation (Rayleigh 1917) augmented with an expression for viscosity, surface tension, an incident sound wave (Rayleigh/Plesset/Noltingk/Neppiras/Poritsky) (Lauterborn 1976) and radiation damping (Löfstedt et al 1993) is frequently used. An equation with a more complete modelling of radiation damping is the one from Keller & Miksis (1980) (see also Brennen 1995)…”
Section: Radial Oscillations (A) the Gilmore Equationmentioning
confidence: 99%
“…To describe the time evolution of the bubble radius R(t) in liquid water, a slightly modified form [18] of the well-known Keller-Miksis equation [43] was used:…”
Section: The Bubble Oscillatormentioning
confidence: 99%