The decay of bubble oscillations

1998 ◽  
Vol 10 (12) ◽  
pp. 3227-3229 ◽  
Author(s):  
P. H. Roberts ◽  
C. C. Wu
Keyword(s):  
2011 ◽  
Vol 680 ◽  
pp. 114-149 ◽  
Author(s):  
ZORANA ZERAVCIC ◽  
DETLEF LOHSE ◽  
WIM VAN SAARLOOS

In this paper the collective oscillations of a bubble cloud in an acoustic field are theoretically analysed with concepts and techniques of condensed matter physics. More specifically, we will calculate the eigenmodes and their excitabilities, eigenfrequencies, densities of states, responses, absorption and participation ratios to better understand the collective dynamics of coupled bubbles and address the question of possible localization of acoustic energy in the bubble cloud. The radial oscillations of the individual bubbles in the acoustic field are described by coupled linearized Rayleigh–Plesset equations. We explore the effects of viscous damping, distance between bubbles, polydispersity, geometric disorder, size of the bubbles and size of the cloud. For large enough clusters, the collective response is often very different from that of a typical mode, as the frequency response of each mode is sufficiently wide that many modes are excited when the cloud is driven by ultrasound. The reason is the strong effect of viscosity on the collective mode response, which is surprising, as viscous damping effects are small for single-bubble oscillations in water. Localization of acoustic energy is only found in the case of substantial bubble size polydispersity or geometric disorder. The lack of localization for a weak disorder is traced back to the long-range 1/r interaction potential between the individual bubbles. The results of the present paper are connected to recent experimental observations of collective bubble oscillations in a two-dimensional bubble cloud, where pronounced edge states and a pronounced low-frequency response had been observed, both consistent with the present theoretical findings. Finally, an outlook to future possible experiments is given.


2015 ◽  
Vol 451 (4) ◽  
pp. 4253-4258 ◽  
Author(s):  
Mikhail G. Revnivtsev ◽  
Sergey V. Molkov ◽  
Mikhail N. Pavlinsky
Keyword(s):  

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Yuzhe Fan ◽  
Haisen Li ◽  
Daniel Fuster
Keyword(s):  

1997 ◽  
Vol 36 (Part 1, No. 5B) ◽  
pp. 2959-2963 ◽  
Author(s):  
Masanori Sato ◽  
Toshitaka Fujii

2016 ◽  
Vol 807 ◽  
pp. 205-220 ◽  
Author(s):  
D. V. Lyubimov ◽  
L. S. Klimenko ◽  
T. P. Lyubimova ◽  
L. O. Filippov

This article considers the interaction of a rising bubble and a sedimenting fine particle in an incompressible viscous liquid under vibrations (ultrasound). The particle is subject to Stokes, Basset and buoyancy forces, and average force due to the inhomogeneity of the pulsating field. It is shown that the main contribution to the average force is made by interference of the external field and the field caused by the monopole mode of bubble oscillations. The interaction force is the attraction of the particle to the bubble. It is found that even weak vibrations lead to considerable increase of the effective cross-section of particle capture by the bubble. The evaluation of the efficiency of the flotation process exposed to an ultrasound action is discussed.


2008 ◽  
Vol 20 (4) ◽  
pp. 040902 ◽  
Author(s):  
Tim Colonius ◽  
Rob Hagmeijer ◽  
Keita Ando ◽  
Christopher E. Brennen

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