2019
DOI: 10.1103/physreve.99.023109
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Dynamics of bubble-bubble interactions experiencing viscoelastic drag

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Cited by 30 publications
(66 citation statements)
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“…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%
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“…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. The indexes i = 1, 2 and j = 3 − i denote the bubble number.…”
Section: Theory and Methodsmentioning
confidence: 99%
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