Sound synchronization of bubble trains in a viscous fluid

Experiment and modeling

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

Research output: Contribution to journalArticle

1 Citation (Scopus)
3 Downloads (Pure)

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 (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
Volume90
Issue number4-1
DOIs
Publication statusPublished - 2 Oct 2014

Fingerprint

viscous fluids
Viscous Fluid
Bubble
synchronism
bubbles
Synchronization
sound waves
acoustics
Nozzle
Modeling
nozzles
Experiment
Frequency Locking
Chaotic Synchronization
acoustic frequencies
Phase Synchronization
tongue
air flow
Bifurcation Diagram
Growth Model

Cite this

Sound synchronization of bubble trains in a viscous fluid : Experiment and modeling. / Pereira, Felipe Augusto Cardoso; Baptista, Murilo da Silva; Sartorelli, José Carlos.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 90, No. 4-1, 042902, 02.10.2014.

Research output: Contribution to journalArticle

@article{fc34a1f9e8534207a7cf3abdbe4fa8c5,
title = "Sound synchronization of bubble trains in a viscous fluid: Experiment and modeling",
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 (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.",
author = "Pereira, {Felipe Augusto Cardoso} and Baptista, {Murilo da Silva} and Sartorelli, {Jos{\'e} Carlos}",
note = "Acknowledgements: We thank the S{\~a}o Paulo State Agency FAPESP and the Federal Brazilian Agency CNPq for the financial support. M.S.B. acknowledges EPSRC Grant No. EP/IO32606/1.",
year = "2014",
month = "10",
day = "2",
doi = "10.1103/PhysRevE.90.042902",
language = "English",
volume = "90",
journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "4-1",

}

TY - JOUR

T1 - Sound synchronization of bubble trains in a viscous fluid

T2 - Experiment and modeling

AU - Pereira, Felipe Augusto Cardoso

AU - Baptista, Murilo da Silva

AU - Sartorelli, José Carlos

N1 - Acknowledgements: 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.

PY - 2014/10/2

Y1 - 2014/10/2

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.90.042902

DO - 10.1103/PhysRevE.90.042902

M3 - Article

VL - 90

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 4-1

M1 - 042902

ER -