Sound synchronization of bubble trains in a viscous fluid: Experiment and modeling

Felipe Augusto Cardoso Pereira, Murilo da Silva Baptista, José Carlos Sartorelli

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We investigate the dynamics of formation of air bubbles expelled from a nozzle immersed in a viscous fluid under the influence of sound waves. We have obtained bifurcation diagrams by measuring the time between successive bubbles, having the air flow (Q) as a parameter control for many values of the sound wave amplitude (A), the height (H) of the solution above the top of the nozzle, and three values of the sound frequency (f_{s}). Our parameter spaces (Q,A) revealed a scenario for the onset of synchronization dominated by Arnold tongues (frequency locking) which gives place to chaotic phase synchronization for sufficiently large A. The experimental results were accurately reproduced by numerical simulations of a model combining a simple bubble growth model for the bubble train and a coupling term with the sound wave added to the equilibrium pressure.

Original languageEnglish
Article number042902
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number4-1
Publication statusPublished - 2 Oct 2014

Bibliographical note

We thank the São Paulo State Agency FAPESP and the Federal Brazilian Agency CNPq for the financial support. M.S.B. acknowledges EPSRC Grant No. EP/IO32606/1.


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