{"title":"揭开隔声物理学的神秘面纱:多层流动电阻率估算","authors":"M. Sadouki","doi":"10.1007/s12648-024-03391-1","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a computational methodology aimed at precisely estimating the physical law governing equivalent flow resistivity in multilayer rigid porous materials, with a specific focus on applications in acoustic insulation systems. While existing models are capable of predicting sound transmission through individual layers, they lack a direct theoretical analytical link between the flow resistivity of multilayer materials and the properties of their constituent layers. To address this gap, the study harnesses equivalent fluid theory, which integrates visco-inertial interactions between the material structure and the interstitial fluid. By establishing simplified expressions for the transmission coefficient of a bilayer medium under low-frequency Darcy conditions, the paper introduces a novel approach to estimation. Furthermore, it formulates a concise relationship between the resistivity of the bilayer medium and the resistivity and thickness of each layer, which extends to multilayer configurations. Experimental validation with bilayer samples demonstrates significant agreement between the directly obtained equivalent flux resistivity and the theoretically predicted values, with relative errors ranging from 3 to 18%. The significance of this paper lies in its practical implications for acoustic insulation systems, where accurate predictions of acoustic performance are crucial. The research introduces a reliable physical relationship for estimating the equivalent flow resistivity of a multilayer as a function of the flow resistivity of each constituent layer and its thickness, offering theoretical correlation with empirical data and providing an alternative to labor-intensive experimental methods and software. This contribution to acoustics facilitates accurate prediction and characterization of the acoustic properties of multilayer materials, thereby aiding in the design of effective noise control systems.</p>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unveiling the physics of acoustic insulation: multilayer flow resistivity estimation\",\"authors\":\"M. Sadouki\",\"doi\":\"10.1007/s12648-024-03391-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents a computational methodology aimed at precisely estimating the physical law governing equivalent flow resistivity in multilayer rigid porous materials, with a specific focus on applications in acoustic insulation systems. While existing models are capable of predicting sound transmission through individual layers, they lack a direct theoretical analytical link between the flow resistivity of multilayer materials and the properties of their constituent layers. To address this gap, the study harnesses equivalent fluid theory, which integrates visco-inertial interactions between the material structure and the interstitial fluid. By establishing simplified expressions for the transmission coefficient of a bilayer medium under low-frequency Darcy conditions, the paper introduces a novel approach to estimation. Furthermore, it formulates a concise relationship between the resistivity of the bilayer medium and the resistivity and thickness of each layer, which extends to multilayer configurations. Experimental validation with bilayer samples demonstrates significant agreement between the directly obtained equivalent flux resistivity and the theoretically predicted values, with relative errors ranging from 3 to 18%. The significance of this paper lies in its practical implications for acoustic insulation systems, where accurate predictions of acoustic performance are crucial. The research introduces a reliable physical relationship for estimating the equivalent flow resistivity of a multilayer as a function of the flow resistivity of each constituent layer and its thickness, offering theoretical correlation with empirical data and providing an alternative to labor-intensive experimental methods and software. This contribution to acoustics facilitates accurate prediction and characterization of the acoustic properties of multilayer materials, thereby aiding in the design of effective noise control systems.</p>\",\"PeriodicalId\":584,\"journal\":{\"name\":\"Indian Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s12648-024-03391-1\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s12648-024-03391-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Unveiling the physics of acoustic insulation: multilayer flow resistivity estimation
This paper presents a computational methodology aimed at precisely estimating the physical law governing equivalent flow resistivity in multilayer rigid porous materials, with a specific focus on applications in acoustic insulation systems. While existing models are capable of predicting sound transmission through individual layers, they lack a direct theoretical analytical link between the flow resistivity of multilayer materials and the properties of their constituent layers. To address this gap, the study harnesses equivalent fluid theory, which integrates visco-inertial interactions between the material structure and the interstitial fluid. By establishing simplified expressions for the transmission coefficient of a bilayer medium under low-frequency Darcy conditions, the paper introduces a novel approach to estimation. Furthermore, it formulates a concise relationship between the resistivity of the bilayer medium and the resistivity and thickness of each layer, which extends to multilayer configurations. Experimental validation with bilayer samples demonstrates significant agreement between the directly obtained equivalent flux resistivity and the theoretically predicted values, with relative errors ranging from 3 to 18%. The significance of this paper lies in its practical implications for acoustic insulation systems, where accurate predictions of acoustic performance are crucial. The research introduces a reliable physical relationship for estimating the equivalent flow resistivity of a multilayer as a function of the flow resistivity of each constituent layer and its thickness, offering theoretical correlation with empirical data and providing an alternative to labor-intensive experimental methods and software. This contribution to acoustics facilitates accurate prediction and characterization of the acoustic properties of multilayer materials, thereby aiding in the design of effective noise control systems.
期刊介绍:
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.