Abstract:A lattice model is introduced to deal with the dynamics of bubbles in cavitation cloud driven by ultrasound, which makes it possible to extend the study of a finite number of bubbles to cloud with an infinite number of bubbles. In this model, the arrangement of bubbles in cloud is assumed to be a cubic lattice. The central bubble in one lattice cell is representative of all the bubbles in cloud. The numerical simulation shows that the bubble in cloud can be severely suppressed by other bubbles under a cubic la… Show more
“…Under ultrasound excitation, two bubbles with initial radii (R 10 and R 20 ) and positions (bubble centers x 10 and x 20 ) could occur radial and translational motions (i.e., R 1 (t), R 2 (t) and x 1 (t), x 2 (t)) over time, respectively. It is assumed that both bubbles remain spherical during their oscillations, and the mass exchange (i.e., evaporation/condensation and gas diffusion) at the gas–liquid interfaces and chemical reactions inside the bubbles are neglected for simplicity as demonstrated in earlier works [28] , [34] , [35] , [36] , [39] , [40] , [41] , [42] . Fig.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…The translational motions of bubbles were always neglected in previous studies [30] , [31] , [32] , [34] , [35] , [36] , [39] , [40] , nevertheless, the radial and translational motions of bubbles, as well as the viscoelastic drag experienced by bubbles while moving in the viscoelastic medium were comprehensively considered herein. The Keller-Miksis equations coupled with the bubble–bubble interactions were used as follows [28] , [42] : where R i (t), R j (t) and x i (t), x j (t) are the radii and center positions of the i th and j th bubble, respectively.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…to describe the cavitation bubble dynamics in soft tissues and to analyze the resultant acoustic emissions, but only focusing on a single bubble for simplicity [24] , [25] , [26] , [27] . For the bubble–bubble interactions, many researches have been focused on the translational motions or radial pulsations of bubbles in Newtonian fluids [28] , [29] , [30] , [31] , [32] , [33] , [34] , [35] , [36] , [37] , [38] , [39] , [40] . It has demonstrated that the bubble–bubble interactions make them behave very differently from individual bubbles.…”
Section: Introductionmentioning
confidence: 99%
“…It has demonstrated that the bubble–bubble interactions make them behave very differently from individual bubbles. Specifically, the expansion ratios of bubbles can be suppressed or enlarged, which largely depends on the ultrasound parameters, the ambient bubble radii, the distances between bubbles and the number of bubbles [35] , [39] , [40] . Recently, several studies have attempted to clarify the impacts of the viscoelasticity of the surrounding medium on the translational and/or radial motions of bubbles with considering bubble–bubble interactions [41] , [42] .…”
Highlights
The radial and translational motions of two interacting bubbles are studied.
Bubble dynamics is analyzed by bifurcation structures and acoustic emission spectra.
Small bubble is remarkably suppressed, while large bubble is slightly enlarged.
Bubble−bubble interaction reduces the nonlinear dynamics and acoustic emissions.
Viscoelasticity of the medium reduces the radial and translational bubble motions.
“…Under ultrasound excitation, two bubbles with initial radii (R 10 and R 20 ) and positions (bubble centers x 10 and x 20 ) could occur radial and translational motions (i.e., R 1 (t), R 2 (t) and x 1 (t), x 2 (t)) over time, respectively. It is assumed that both bubbles remain spherical during their oscillations, and the mass exchange (i.e., evaporation/condensation and gas diffusion) at the gas–liquid interfaces and chemical reactions inside the bubbles are neglected for simplicity as demonstrated in earlier works [28] , [34] , [35] , [36] , [39] , [40] , [41] , [42] . Fig.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…The translational motions of bubbles were always neglected in previous studies [30] , [31] , [32] , [34] , [35] , [36] , [39] , [40] , nevertheless, the radial and translational motions of bubbles, as well as the viscoelastic drag experienced by bubbles while moving in the viscoelastic medium were comprehensively considered herein. The Keller-Miksis equations coupled with the bubble–bubble interactions were used as follows [28] , [42] : where R i (t), R j (t) and x i (t), x j (t) are the radii and center positions of the i th and j th bubble, respectively.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…to describe the cavitation bubble dynamics in soft tissues and to analyze the resultant acoustic emissions, but only focusing on a single bubble for simplicity [24] , [25] , [26] , [27] . For the bubble–bubble interactions, many researches have been focused on the translational motions or radial pulsations of bubbles in Newtonian fluids [28] , [29] , [30] , [31] , [32] , [33] , [34] , [35] , [36] , [37] , [38] , [39] , [40] . It has demonstrated that the bubble–bubble interactions make them behave very differently from individual bubbles.…”
Section: Introductionmentioning
confidence: 99%
“…It has demonstrated that the bubble–bubble interactions make them behave very differently from individual bubbles. Specifically, the expansion ratios of bubbles can be suppressed or enlarged, which largely depends on the ultrasound parameters, the ambient bubble radii, the distances between bubbles and the number of bubbles [35] , [39] , [40] . Recently, several studies have attempted to clarify the impacts of the viscoelasticity of the surrounding medium on the translational and/or radial motions of bubbles with considering bubble–bubble interactions [41] , [42] .…”
Highlights
The radial and translational motions of two interacting bubbles are studied.
Bubble dynamics is analyzed by bifurcation structures and acoustic emission spectra.
Small bubble is remarkably suppressed, while large bubble is slightly enlarged.
Bubble−bubble interaction reduces the nonlinear dynamics and acoustic emissions.
Viscoelasticity of the medium reduces the radial and translational bubble motions.
The bubble-bubble interaction (BBI) is attractive in most cases, but also could be repulsive. In the present study, three specific mechanisms of repulsive BBI are given. The great contribution to the repulsive BBI is derived from the large radius of the bubble catching the rebound point of the other bubble. For "elastic" bubble and "inelastic" bubble, with the increase of the phase shift between two bubbles, the BBI changes from attractive to repulsive, and the repulsion can be maintained. For both "elastic" bubbles, the BBI alternates between attractive interaction and repulsive interaction along the direction where the ambient radius of one of bubbles increases. For stimulating bubble and stimulated bubble, the BBI can be repulsive. Its property depends on the ambient radii of bubbles. In addition, the distribution of the radiation forces in ambient radius space shows that the BBI is sensitive to the size of bubble and is complex because the bubbles are not of the same size in an ultrasonic field. Finally, as the distance increases or decreases monotonically with time, the absolute value of the BBI decreases or increases, correspondingly. The BBI can oscillate not only in strength but also in polarity when the distance fluctuates with time.
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