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Tuning the decay of sound in a viscous metamaterial

Using analytical results for viscous dissipation in phononic crystals, we calculate the decay coefficient of a sound wave propagating at low frequencies through a two-dimensional phononic crystal with a viscous fluid background. It is demonstrated that the effective acoustic viscosity of the phononi...

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Detalles Bibliográficos
Autores principales: Ibarias, M., Doporto, J., Krokhin, A. A., Arriaga, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9548401/
https://www.ncbi.nlm.nih.gov/pubmed/36209810
http://dx.doi.org/10.1098/rsta.2022.0007
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author Ibarias, M.
Doporto, J.
Krokhin, A. A.
Arriaga, J.
author_facet Ibarias, M.
Doporto, J.
Krokhin, A. A.
Arriaga, J.
author_sort Ibarias, M.
collection PubMed
description Using analytical results for viscous dissipation in phononic crystals, we calculate the decay coefficient of a sound wave propagating at low frequencies through a two-dimensional phononic crystal with a viscous fluid background. It is demonstrated that the effective acoustic viscosity of the phononic crystal may exceed by two to four orders of magnitude the natural hydrodynamic viscosity of the background fluid. Moreover, the decay coefficient exhibits dependence on the direction of propagation; that is, a homogenized phononic crystal behaves like an anisotropic viscous fluid. Strong dependence on the filling fraction of solid scatterers offers the possibility of tuning the dissipative decay length of sound, which is an important characteristic of any acoustic device. This article is part of the theme issue ‘Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)’.
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spelling pubmed-95484012022-10-11 Tuning the decay of sound in a viscous metamaterial Ibarias, M. Doporto, J. Krokhin, A. A. Arriaga, J. Philos Trans A Math Phys Eng Sci Articles Using analytical results for viscous dissipation in phononic crystals, we calculate the decay coefficient of a sound wave propagating at low frequencies through a two-dimensional phononic crystal with a viscous fluid background. It is demonstrated that the effective acoustic viscosity of the phononic crystal may exceed by two to four orders of magnitude the natural hydrodynamic viscosity of the background fluid. Moreover, the decay coefficient exhibits dependence on the direction of propagation; that is, a homogenized phononic crystal behaves like an anisotropic viscous fluid. Strong dependence on the filling fraction of solid scatterers offers the possibility of tuning the dissipative decay length of sound, which is an important characteristic of any acoustic device. This article is part of the theme issue ‘Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)’. The Royal Society 2022-11-28 2022-10-10 /pmc/articles/PMC9548401/ /pubmed/36209810 http://dx.doi.org/10.1098/rsta.2022.0007 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Articles
Ibarias, M.
Doporto, J.
Krokhin, A. A.
Arriaga, J.
Tuning the decay of sound in a viscous metamaterial
title Tuning the decay of sound in a viscous metamaterial
title_full Tuning the decay of sound in a viscous metamaterial
title_fullStr Tuning the decay of sound in a viscous metamaterial
title_full_unstemmed Tuning the decay of sound in a viscous metamaterial
title_short Tuning the decay of sound in a viscous metamaterial
title_sort tuning the decay of sound in a viscous metamaterial
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9548401/
https://www.ncbi.nlm.nih.gov/pubmed/36209810
http://dx.doi.org/10.1098/rsta.2022.0007
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