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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Published in | Applied acoustics Vol. 187; p. 108492 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
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01.02.2022
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Abstract | 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. |
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AbstractList | 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. |
ArticleNumber | 108492 |
Author | Malléjac, Matthieu D'Hondt, Lilian Duclos, Aroune Cavaro, Matthieu Mensah, Serge Payan, Cédric |
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Cites_doi | 10.1103/PhysRevLett.69.765 10.1121/1.418198 10.1017/S0022112085001252 10.1098/rsfs.2015.0024 10.1016/0022-460X(72)90123-X 10.1016/j.phpro.2015.08.294 10.1016/0022-460X(76)90397-7 10.1016/0003-682X(72)90022-9 10.1121/1.397599 10.1016/0041-624X(77)90005-1 10.1016/j.ultras.2019.03.009 10.1121/1.4748260 10.1121/1.418503 10.1121/1.1907675 10.1121/1.381252 10.1121/1.3565474 10.1175/1520-0426(1995)012<0317:IFTMOS>2.0.CO;2 10.1121/1.4945452 |
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Keywords | Helmholtz resonator Void fraction Two-phase Microbubble Nonlinear resonant acoustic spectroscopy Bubble cloud |
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10.1016/j.apacoust.2021.108492_b0100 article-title: Survey of thermal, radiation, and viscous damping of pulsating air bubbles in water publication-title: J Acoust Soc Am doi: 10.1121/1.1907675 contributor: fullname: Devin – volume: 61 start-page: 17 issue: 1 year: 1977 ident: 10.1016/j.apacoust.2021.108492_b0115 article-title: Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids publication-title: J Acoust Soc Am doi: 10.1121/1.381252 contributor: fullname: Prosperetti – year: 1994 ident: 10.1016/j.apacoust.2021.108492_b0070 contributor: fullname: Leighton – volume: 129 start-page: EL179 issue: 5 year: 2011 ident: 10.1016/j.apacoust.2021.108492_b0010 article-title: Microbubble cloud characterization by nonlinear frequency mixing publication-title: J Acoust Soc Am doi: 10.1121/1.3565474 contributor: fullname: Cavaro – year: 2008 ident: 10.1016/j.apacoust.2021.108492_b0130 contributor: fullname: Mechel – year: 1949 ident: 10.1016/j.apacoust.2021.108492_b0095 contributor: fullname: Nielsen – volume: 12 start-page: 317 issue: 2 year: 1995 ident: 10.1016/j.apacoust.2021.108492_b0125 article-title: Instrumentation for the measurement of sound speed near the ocean surface - publication-title: J Atmos Oceanic Technol doi: 10.1175/1520-0426(1995)012<0317:IFTMOS>2.0.CO;2 contributor: fullname: Lamarre – volume: 139 start-page: 1703 issue: 4 year: 2016 ident: 10.1016/j.apacoust.2021.108492_b0135 article-title: Nonlinear acoustic propagation in bubbly liquids: Multiple scattering, softening and hardening phenomena publication-title: J Acoust Soc Am doi: 10.1121/1.4945452 contributor: fullname: Doc |
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Snippet | Microbubble clouds greatly affect the acoustic behaviour of systems such as liquid-filled Helmholtz resonators. Gas microbubbles change the resonator’s... |
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SubjectTerms | Acoustics Bubble cloud Chemical Sciences Engineering Sciences Helmholtz resonator Material chemistry Microbubble Nonlinear resonant acoustic spectroscopy Nuclear Experiment Physics Two-phase Void fraction |
Title | Non-linear bubbly Helmholtz resonator |
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