On the modeling of visco-thermal dissipations in heterogeneous porous media

Chevillotte, Fabien; Jaouen, Luc; Bécot, François‐Xavier

doi:10.1121/1.4937773

Cited by 23 publications

(24 citation statements)

References 15 publications

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“…For thick structures, this correction should rather be local, i.e., on the structure's surface, which may suggest to introduce in this place an additional thin layer of equivalent medium with the corrected tortuosity. Finally, in case of plates with perforations localised in meso-scale areas (like in the disc-shape plate), they can be treated as mesoscopic porous inclusions in a solid matrix of plate [50]. Then, a composite model of a (heterogenous) plate with large mesoscopic pores filled with an equivalent fluid resulting from the localised micro-perforations can be applied [50].…”

Section: Final Remarksmentioning

confidence: 99%

Sound absorption of plates with micro-slits backed with air cavities: Analytical estimations, numerical calculations and experimental validations

2019

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This work discusses many practical and some theoretical aspects concerning modelling and design of plates with micro-slits, involving multi-scale calculations based on microstructure. To this end, useful mathematical reductions are demonstrated, and numerical computations are compared possible analytical estimations. The numerical and analytical approaches are used to calculate the transport parameters for complex micro-perforated (micro-slotted) plates, which allow to determine the effective properties of the equivalent fluid, so that at the macro-scale level the plate can be treated as a specific layer of acoustic fluid. In that way, the sound absorption of micro-slotted plates backed with air cavities can be determined by solving a multi-layer system of Helmholtz equations. Two such examples are presented in the paper and validated experimentally. The first plate has narrow slits precisely cut out using a traditional technique, while the second plate -with an original micro-perforated pattern -is 3D-printed.

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Section: Final Remarksmentioning

confidence: 99%

Sound absorption of plates with micro-slits backed with air cavities: Analytical estimations, numerical calculations and experimental validations

2019

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“…For the first configuration, the proposed approach uses the Parallel Transfer Matrix Method [16][17][18][19] (P-TMM) in a reverse way. For the second configuration, the Mixing Rule Method [20][21][22][23] (MRM) is used in a reverse way. For the third configuration, the extension of P-TMM 19,27 with discretization (dP-TMM) is used in a reverse way.…”

Section: General Description Of the Methodsmentioning

confidence: 99%

“…The Mixing Rule Method [20][21][22][23] (MRM) is based on the homogenization approach. In this approach, the elements of the patchwork have to be identified as equivalent fluids.…”

Section: Mixing Rule Methods (Mrm)mentioning

confidence: 99%

“…Here, the client element is the material to test (with unknown acoustic properties), while the host element is acoustically defined (e.g., air). The analytical method uses three different approaches which are based on homogenization, namely the parallel transfer matrix method [16][17][18][19] (P-TMM) and it extension 19 (P-TMM with discretization or dP-TMM), and the Mixing Rule Method [20][21][22][23]…”

Section: Introductionmentioning

confidence: 99%

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Method for controlling boundary condition effects on the measurement of acoustic properties of small samples in tubes

Dupont

Verdière²,

Leclaire

et al. 2021

Review of Scientific Instruments

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As standard ASTM E2611 reveals, the normal incidence sound transmission loss measured on a small sample in an acoustic tube is not only a property of the material, but it is also strongly dependent on boundary conditions (generally unknown) and on the way the material is mounted. This article proposes an experimental method to control the effects of the lateral boundary conditions in an acoustic tube. The main objective is to deduce the properties of a "client element" (material sample) from the measured global acoustic properties of a patchwork composed by the "client material" and a known "host support". Three patchwork configurations have to be distinguished: patchworks with and without an impervious and rigid interface between the elements, and patchworks composed by elements which cannot be identified as equivalent fluids. For each of these configurations, it is proposed to use a specific method based on the Mixing Rule Method (MRM) or on the Parallel Transfer Matrix Methods (P-TMM or dP-TMM) used in reverse way. Numerical and experimental validations are proposed in acoustic tubes on convenient configuration: a material sample surrounded by an air ring. This configuration allows reducing the material elasticframe behavior to leave a limp-frame behavior. The proposed methods allow removing the effect of the lateral air ring host surrounding the material. For homogeneous materials the two methods based on MRM and dP-TMM give similar good results. For non-homogeneous materials or for materials which cannot be modelled as equivalent fluids only the method based on dP-TMM gives good results.

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“…In all cases, the microscopic properties of a material's pores govern the material's acoustic behavior (Chevillotte et al, 2015), and it is of importance to understand this relation.…”

Section: Introductionmentioning

confidence: 99%

Bayesian acoustic analysis of multilayer porous media

Fackler

Xiang

Horoshenkov

2018

The Journal of the Acoustical Society of America

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In many acoustical applications, porous materials may be stratified or physically anisotropic along their depth direction. In order to better understand the sound absorbing mechanisms of these porous media, the depth-dependent anisotropy can be approximated as a multilayer combination of finite-thickness porous materials with each layer being considered as isotropic. The uniqueness of this work is that it applies Bayesian probabilistic inference to determine the number of constituent layers in a multilayer porous specimen and macroscopic properties of their pores. This is achieved through measurement of the acoustic surface impedance and subsequent transfer-matrix analysis based on a valid theoretical model for the acoustical properties of porous media. The number of layers considered in the transfer-matrix analysis is varied, and Bayesian model selection is applied to identify individual layers present in the porous specimen and infer the parameters of their microstructure. Nested sampling is employed in this process to solve the computationally intensive inversion problem.

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On the modeling of visco-thermal dissipations in heterogeneous porous media

Cited by 23 publications

References 15 publications

Sound absorption of plates with micro-slits backed with air cavities: Analytical estimations, numerical calculations and experimental validations

Sound absorption of plates with micro-slits backed with air cavities: Analytical estimations, numerical calculations and experimental validations

Method for controlling boundary condition effects on the measurement of acoustic properties of small samples in tubes

Bayesian acoustic analysis of multilayer porous media

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