The influence of the compressibility effects is discussed, including the time delays on the dynamics of acoustically excited bubbly screens. In the linear regime, it is shown that the proposed model for the infinite bubbly screen recovers the results predicted by the effective medium theory (EMT) up to the second order without introducing any fitting parameter when the wavelength is large compared to the inter-bubble distance. However, the effect of boundaries on the finite bubbly screens is shown to lead to the appearance of multiple local resonances and characteristic periodic structures, which limit the applicability of the EMT. In addition, a local resonance phenomenon in the liquid spacings between the bubbles is observed for both the infinite and finite bubbly screens with crystal structures, and these effects vanish as the crystal structure is perturbed. In the nonlinear regime, the current model is treated with time-delay effects as a delay differential equation, which is directly solved numerically. The appearance of an optimal distance for the subharmonic emission for the crystal structures is shown, and the accuracy of the EMT in the strong nonlinear regime is discussed.
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December 2021
December 09 2021
Time-delayed interactions on acoustically driven bubbly screens Available to Purchase
Yuzhe Fan;
Yuzhe Fan
a)
1
Acoustic Science and Technology Laboratory, Harbin Engineering University
, Harbin 150001, China
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Haisen Li;
Haisen Li
b)
1
Acoustic Science and Technology Laboratory, Harbin Engineering University
, Harbin 150001, China
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Daniel Fuster
Daniel Fuster
c)
2
Sorbonne Université, Centre National de la Recherche Scientifique
, Unité Mixte de Recherche 7190, Institut Jean Le Rond D'Alembert, F-75005 Paris, France
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Yuzhe Fan
1,a)
Haisen Li
1,b)
Daniel Fuster
2,c)
1
Acoustic Science and Technology Laboratory, Harbin Engineering University
, Harbin 150001, China
2
Sorbonne Université, Centre National de la Recherche Scientifique
, Unité Mixte de Recherche 7190, Institut Jean Le Rond D'Alembert, F-75005 Paris, France
a)
Also at: College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China.
b)
Also at: Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China.
c)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 150, 4219–4231 (2021)
Article history
Received:
August 19 2021
Accepted:
November 11 2021
Citation
Yuzhe Fan, Haisen Li, Daniel Fuster; Time-delayed interactions on acoustically driven bubbly screens. J. Acoust. Soc. Am. 1 December 2021; 150 (6): 4219–4231. https://doi.org/10.1121/10.0008905
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