Sound synchronization of bubble trains in a viscous fluid: experiment and modeling.
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.
Universidade de São Paulo, Instituto de Física, Caixa Postal 66318, 05315-970, São Paulo, Brazil.
Felipe Augusto Cardoso
FA
Pereira
Institute for Complex System and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Murilo da Silva
Mda S
Baptista
Universidade de São Paulo, Instituto de Física, Caixa Postal 66318, 05315-970, São Paulo, Brazil.
José Carlos
JC
Sartorelli
D000388:Air; D003198:Computer Simulation; D008962:Models, Theoretical; D010507:Periodicity; D011312:Pressure; D012996:Solutions; D013016:Sound; D055682:Viscoelastic Substances; D014783:Viscosity
D012996:Solutions; D055682:Viscoelastic Substances