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

Felipe Augusto Cardoso Pereira, Murilo da Silva Baptista, and José Carlos Sartorelli
Phys. Rev. E 90, 042902 – Published 2 October 2014
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Abstract

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 (fs). 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.

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  • Received 2 June 2014

DOI:https://doi.org/10.1103/PhysRevE.90.042902

©2014 American Physical Society

Authors & Affiliations

Felipe Augusto Cardoso Pereira1, Murilo da Silva Baptista2, and José Carlos Sartorelli1

  • 1Universidade de São Paulo, Instituto de Física, Caixa Postal 66318, 05315-970, São Paulo, Brazil
  • 2Institute for Complex System and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom

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Vol. 90, Iss. 4 — October 2014

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