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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2022
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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)’. |
format | Online Article Text |
id | pubmed-9548401 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT ibariasm tuningthedecayofsoundinaviscousmetamaterial AT doportoj tuningthedecayofsoundinaviscousmetamaterial AT krokhinaa tuningthedecayofsoundinaviscousmetamaterial AT arriagaj tuningthedecayofsoundinaviscousmetamaterial |