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This study systematically investigates the bouncing behavior and dynamics of microbubbles under ultrasound excitation within a rigid capillary. It aims to provide quantitative insights into their oscillation characteristics, migration trajectories, and phase modulation mechanisms for applications in microfluidics, contrast-enhanced ultrasound imaging, and controlled drug delivery. A high-speed imaging system was employed to track the motion of single-, double-, and triple-bubble systems in a viscoelastic medium inside a capillary with a 0.5 mm inner diameter. Under a 28 kHz ultrasound field, bubble dynamics were captured at 100,000 frames per second. Image processing techniques, including dynamic threshold segmentation and morphological operations, were applied to extract bubble contours and centroid trajectories. Spectral analysis via Fast Fourier Transform (FFT) was performed to identify oscillation frequencies and modulation characteristics. Experimental results showed that a single bubble exhibits periodic lateral migration with oscillation frequency slightly below the driving frequency, alongside an asymmetric sideband distribution in its spectrum. In the two-bubble system, five distinct dynamic stages were identified: initial suppression, accelerated migration, interaction dominance, position exchange, and a secondary approach to the wall. The bubbles oscillated at a common dominant frequency of 27.32 kHz but maintained phase difference. Modulation sidebands of approximately 0.3 kHz were observed, indicating nonlinear coupling. The three-bubble system exhibited more complex spatiotemporal evolution, including sequential migration and transitions between triangular and mirror-symmetric configurations. A notable sideband at 0.1 kHz suggested that multi-bubble synergy enhances nonlinear behavior. The tube diameter and fluid viscosity were found to influence the bouncing period through added mass effects and viscous energy dissipation, respectively. The period increased significantly with decreasing tube diameter and decreased with reducing fluid viscosity. Theoretical modeling incorporated the mirror bubble effect into the coupled Keller-Miksis equations to account for wall confinement, successfully simulating the oscillation and translation of confined microbubbles. Numerical analysis further indicated that interbubble distance, wall proximity, and medium viscosity modulate the system's dynamics. Specifically, the bubble resonance frequency is regulated by inter-bubble distance and wall confinement. The two-bubble system exhibits both in-phase and out-of-phase modes, with the latter being more sensitive to distance variations. Near the wall, the oscillation frequency decreases, and the phase difference attenuation accelerates. Increased medium viscosity weakens the phase coupling between bubbles, an effect particularly pronounced for smaller bubbles. This study not only enhances the understanding of multi-bubble synergistic effects in confined spaces but also provides a theoretical foundation and technical reference for optimizing ultrasound contrast agents, designing microfluidic devices, and developing targeted therapies in biomedicine.
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Keywords:
- Microbubbles /
- Bouncing behavior /
- Wall confinement /
- Multibubble interaction
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[1] Jiang L L, Xue Z Q, Park H 2019 Int. J. Heat Mass Transf. 138 1211
[2] Zhai H, Xue Z, Park H, Aizawa Y, Baba Y, Zhang Y 2020 J. Nat. Gas Sci. Eng. 77 103233
[3] Chen H, Kreider W, Brayman A, Bailey R, Matula J 2011 Phys. Rev. Lett. 106 034301
[4] Miller D L, Quddus J 2000 Proc. Natl. Acad. Sci. U.S.A. 97 10179
[5] Marmottant P, Hilgenfeldt S 2004 Proc. Natl. Acad. Sci. U.S.A. 101 9523
[6] Liu Y, Zhou Y, Zhang W, Chen S, Liang S 2024 J. Biomed. Eng. 41 919
[7] Sambo C, Liu N, Shaibu R, Ahmed A, Hashish R 2023 Geoenergy Sci. Eng. 221 111185
[8] Mamba S S, Magniez J C, Zoueshtiagh F, Baudoin M 2018 J. Fluid Mech. 838 165
[9] Averkiou M A, Bruce M F, Powers J E, Sheeran P S, Burn P N 2020 Ultrasound Med. Biol. 46 498
[10] Battat S, Weitz D A, Whitesides G M 2022 Chem. Rev. 122 6921
[11] Rasouli M R, Tabrizian M 2019 Lab Chip 19 3316
[12] Liao A H, Ho H C, Lin Y C, Chen H K, Wang C H 2015 PLoS One. 10 e0138500
[13] Minnaert M 1933 Philos. Mag. 16 235
[14] Plesset M S 1949 J. Appl. Mech. 16 277
[15] Keller J B, Miksis M 1980 J. Acoust. Soc. Am. 68 628
[16] Qin S, Ferrara K W 2006 Phys. Med. Biol. 51 5065
[17] Zhong P, Zhou Y, Zhu S 2001 Ultrasound Med. Biol. 27 119
[18] Caskey C F, Stieger S M, Qin S, Dayton P A, Ferrara K W 2007 J. Acoust. Soc. Am. 122 1191
[19] Zhang L, Chen W 2024 Ultrason. Sonochem. 110 107050
[20] An Y 2011 Phys. Rev. E 83 066313
[21] Wang C, Lin S 2011 Acta Acust. 36 325
[22] Zilonova E, Solovchuk M, Sheu T W H 2019 Phys. Rev. E 99 023109
[23] Zou Q, Zhong X, Zhang B, Gao A, Wang X, Li Z, Qin D 2023 Ultrasonics 134 107089
[24] Fei Y J, Zhu C Y, Fu T T, Gao X Q, Ma Y G 2022 Chin. J. Chem. Eng. 50 66
[25] Hu M, Wang F, Li Y, Chen L, Wu W, Huo P, Deng D 2025 Phys. Rev. Lett. 134 104004
[26] Magnaudet J, Legendre D 1998 Phys. Fluids 10 550
[27] Legendre D, Magnaudet J, Mougin G 2003 J. Fluid Mech. 497 133
[28] Qi H, Liu J, Sun X, Deng P, Zhang D, Song Y 2024 Phys. Fluids 36
[29] Alt E, Banyai S, Banyai M, Koppensteiner R 2002 Thromb. Res. 107 101
[30] Lei Z, Dong X, Zuo X, Wang C, Wu Y, Lin S, Guo J 2024 J. Acoust. Soc. Am. 156 3373
[31] Guo C, Wang J, Li X, Yang S, Li W 2024 Chem. Eng. Process. 199 109765
[32] Doinikov A A 2001 Phys. Rev. E 64 026301
[33] Ida M 2009 Phys. Rev. E 79 016307
[34] Sugita N, Sugiura T 2017 Ultrasonics 74 174
[35] Regnault G, Doinikov A A, Laloy G, Mauger C, Benon P, Catheline S, Inserra C 2024 Phys. Fluids 36
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