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An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators

Abhishek Gautam, Alper Celik Orcid Logo, Mahdi Azarpeyvand

Acoustics, Volume: 3, Issue: 1, Pages: 97 - 117

Swansea University Author: Alper Celik Orcid Logo

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DOI (Published version): 10.3390/acoustics3010009

Abstract

This study investigates the acoustic performance of a system of two Helmholtz resonators experimentally and numerically. The distance between the Helmholtz resonators was varied to assess its effect on the acoustic performance of the system quantitatively. Experiments were performed using an impedan...

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Published in: Acoustics
ISSN: 2624-599X
Published: MDPI AG 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa60236
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spelling 2022-06-29T12:54:44.7335929 v2 60236 2022-06-14 An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators 3cb1f558a4b194101105e9c1e8d59cbf 0000-0002-2492-4625 Alper Celik Alper Celik true false 2022-06-14 AERO This study investigates the acoustic performance of a system of two Helmholtz resonators experimentally and numerically. The distance between the Helmholtz resonators was varied to assess its effect on the acoustic performance of the system quantitatively. Experiments were performed using an impedance tube with two instrumented Helmholtz resonators and several microphones along the impedance tube. The relation between the noise attenuation performance of the system and the distance between two resonators is presented in terms of the transmission loss, transmission coefficient, and change in the sound pressure level along the tube. The underlying mechanisms of the spacing effect are further elaborated by studying pressure and the particle velocity fields in the resonators obtained through finite element analysis. The results showed that there might exist an optimum resonators spacing for achieving maximum transmission loss. However, the maximum transmission loss is not accompanied by the broadest bandwidth of attenuation. The pressure field and the sound pressure level spectra of the pressure field inside the resonators showed that the maximum transmission loss is achieved when the resonators are spaced half wavelength of the associated resonance frequency wavelength and resonate in-phase. To achieve sound attenuation over a broad frequency bandwidth, a resonator spacing of a quarter of the wavelength is required, in which case the two resonators operate out-of-phase. Journal Article Acoustics 3 1 97 117 MDPI AG 2624-599X helmholtz resonator; impedance tube; linear acoustics 15 2 2021 2021-02-15 10.3390/acoustics3010009 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University The research is supported by the European Commission through project AERIALIST (AdvancEd aicRaft-noIse-AlLeviationdevIceS using meTamaterials), H2020–MG–1.4–2016–2017, Project no. 723367. 2022-06-29T12:54:44.7335929 2022-06-14T17:40:15.2960003 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Abhishek Gautam 1 Alper Celik 0000-0002-2492-4625 2 Mahdi Azarpeyvand 3 60236__24412__07b9817651a848d68c103b3bbf4b8d67.pdf 60236.pdf 2022-06-29T12:53:09.9572566 Output 3676235 application/pdf Version of Record true © 2021 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license true eng https://creativecommons.org/licenses/by/4.0/
title An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
spellingShingle An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
Alper Celik
title_short An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
title_full An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
title_fullStr An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
title_full_unstemmed An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
title_sort An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
author_id_str_mv 3cb1f558a4b194101105e9c1e8d59cbf
author_id_fullname_str_mv 3cb1f558a4b194101105e9c1e8d59cbf_***_Alper Celik
author Alper Celik
author2 Abhishek Gautam
Alper Celik
Mahdi Azarpeyvand
format Journal article
container_title Acoustics
container_volume 3
container_issue 1
container_start_page 97
publishDate 2021
institution Swansea University
issn 2624-599X
doi_str_mv 10.3390/acoustics3010009
publisher MDPI AG
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description This study investigates the acoustic performance of a system of two Helmholtz resonators experimentally and numerically. The distance between the Helmholtz resonators was varied to assess its effect on the acoustic performance of the system quantitatively. Experiments were performed using an impedance tube with two instrumented Helmholtz resonators and several microphones along the impedance tube. The relation between the noise attenuation performance of the system and the distance between two resonators is presented in terms of the transmission loss, transmission coefficient, and change in the sound pressure level along the tube. The underlying mechanisms of the spacing effect are further elaborated by studying pressure and the particle velocity fields in the resonators obtained through finite element analysis. The results showed that there might exist an optimum resonators spacing for achieving maximum transmission loss. However, the maximum transmission loss is not accompanied by the broadest bandwidth of attenuation. The pressure field and the sound pressure level spectra of the pressure field inside the resonators showed that the maximum transmission loss is achieved when the resonators are spaced half wavelength of the associated resonance frequency wavelength and resonate in-phase. To achieve sound attenuation over a broad frequency bandwidth, a resonator spacing of a quarter of the wavelength is required, in which case the two resonators operate out-of-phase.
published_date 2021-02-15T04:18:11Z
_version_ 1763754210517581824
score 11.017731

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