Non-linear bubbly Helmholtz resonator

Microbubble clouds greatly affect the acoustic behaviour of systems such as liquid-filled Helmholtz resonators. Gas microbubbles change the resonator’s behaviour from quasi-linear to mostly non-linear, together with the appearance of hysteretic phenomena and desymmetrisation of the temporal response...

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Bibliographic Details
Published inApplied acoustics Vol. 187; p. 108492
Main Authors Malléjac, Matthieu, Payan, Cédric, D'Hondt, Lilian, Mensah, Serge, Duclos, Aroune, Cavaro, Matthieu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2022
Elsevier
Subjects
Acoustics
Bubble cloud
Chemical Sciences
Engineering Sciences
Helmholtz resonator
Material chemistry
Microbubble
Nonlinear resonant acoustic spectroscopy
Nuclear Experiment
Physics
Two-phase
Void fraction
Helmholtz resonator
Void fraction
Two-phase
Microbubble
Nonlinear resonant acoustic spectroscopy
Bubble cloud
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Summary:Microbubble clouds greatly affect the acoustic behaviour of systems such as liquid-filled Helmholtz resonators. Gas microbubbles change the resonator’s behaviour from quasi-linear to mostly non-linear, together with the appearance of hysteretic phenomena and desymmetrisation of the temporal response or a softening effect with a drop in the resonance frequencies with increasing excitation amplitudes. The aim of this study is to model the non-linear behaviour of a diphasic Helmholtz resonator filled with water containing air microbubbles. The microbubble cloud is therefore modelled with a “damped-mass-spring” second-order equation. The impact of the two phases is accounted for by considering both an equivalent stiffness and an equivalent damping value. The model is then compared to experimental data, which showed its ability to reproduce both linear and non-linear behaviour.
ISSN:0003-682X
1872-910X
DOI:10.1016/j.apacoust.2021.108492