Acoustics of Bubble Arrays: Role Played by the Dipole Response of Bubbles

A model for acoustic transmission through a 2D square crystal of R-radius bubbles with a lattice constant L was previously proposed. Assuming a purely monopole response of the bubbles, this model offers a simple analytical expression of the transmission. However, it is not applicable when the bubble...

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Bibliographic Details
Published in:Fluids (Basel) 2018-12, Vol.3 (4), p.95
Main Authors: Leroy, Valentin, Chastrette, Nicolas, Thieury, Margaux, Lombard, Olivier, Tourin, Arnaud
Format: Article
Language:English
Subjects:
Acoustics
Arrays
bubble
Bubbles
Crystal lattices
Dipoles
Lattice parameters
Mechanics
metamaterial
Monopoles
Physics
Simulation
Sound transmission
Two dimensional models
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Summary:A model for acoustic transmission through a 2D square crystal of R-radius bubbles with a lattice constant L was previously proposed. Assuming a purely monopole response of the bubbles, this model offers a simple analytical expression of the transmission. However, it is not applicable when the bubbles are too close to each other ( L / R < 5). This article proposes an extension of the model by including the dipole response of the bubbles. Comparisons with numerical and experimental results show that the new expression gives a good estimate of the concentration at which the monopole model is no longer valid, but fails at properly predicting the transmission.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids3040095