Experimental determination of the viscous flow permeability of porous materials by measuring reflected low frequency acoustic waves

Berbiche, Amine; Sadouki, Mustapha; Fellah, Zine El Abiddine; Ogam, Erick; Fellah, M.; Mitri, F.G.; Dépollier, Claude

doi:10.1063/1.4939073

Cited by 13 publications

(14 citation statements)

References 25 publications

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“…Otherwise, the compactness of the material may cause the reflection instead of the absorption of the sound waves. A numerical simulation was reported by Berbiche et al [30], in order to reconstruct the permeability by solving the inverse problem using waves reflected by some high resistive plastic foam samples at different frequency bandwidths in the Darcy regime. Their method is considered as simple compared to the conventional method, as it is independent of frequency and porosity.…”

Section: Fibrogranular Compositesmentioning

confidence: 99%

Acoustic Absorption of Natural Fiber Composites

Mamtaz

Fouladi

Al-Atabi

et al. 2016

Journal of Engineering

132

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The current study is a bibliographic observation on prevailing tendencies in the development of acoustic absorption by natural fiber composites. Despite having less detrimental environmental effects and thorough availability, natural fibers are still unsuitable for wide implementation in industrial purposes. Some shortcomings such as the presence of moisture contents, thicker diameter, and lower antifungus quality hold up the progress of natural fiber composites in staying competitive with synthetic composites. The review indicates the importance of the pretreatment of fresh natural fiber to overcome these shortcomings. However, the pretreatment of natural fiber causes the removal of moisture contents which results in the decrease of its acoustic absorption performance. Incorporation of granular materials in treated fiber composite is expected to play a significant role as a replacement for moisture contents. This review aims to investigate the acoustic absorption behavior of natural fiber composites due to the incorporation of granular materials. It is intended that this review will provide an overview of the analytical approaches for the modeling of acoustic wave propagation through the natural fiber composites. The possible influential factors of fibers and grains were described in this study for the enhancement of low frequency acoustic absorption of the composites.

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Section: Fibrogranular Compositesmentioning

confidence: 99%

Acoustic Absorption of Natural Fiber Composites

Mamtaz

Fouladi

Al-Atabi

et al. 2016

Journal of Engineering

132

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“…Knowledge of the acoustic and physical properties of these materials is of great importance in predicting their acoustic behavior and their insulate ability against noise and heat. For this reason, there are many works of research and studies in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] that are articulated in this line of inquiry where many mathematical and semi-phenomenological models have been developed to study the acoustic behavior of these materials. Among the most important of these models, we find the JCA model (Johnson-Champoux-Allard model) [1][2][3][4] used in the case of porous materials with a rigid structure saturated with air.…”

Section: Introductionmentioning

confidence: 99%

“…In the low-frequency domain [1,2,11,13], inertial, viscous and thermal interactions are described by the inertial and thermal tortuosity and by the viscous and thermal permeability. In very low frequency approximation, the viscous-inertial interactions [11,14,15] are only described by the flow resistivity. The determination of these parameters is crucial for the prediction of sound damping in these materials.…”

Section: Introductionmentioning

confidence: 99%

Inverse Measurement of the Thickness and Flow Resistivity of Porous Materials via Reflected Low Frequency Waves-Frequency Approach

Sadouki¹

2021

Porous Fluids - Advances in Fluid Flow and Transport Phenomena in Porous Media

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A direct and inverse method is proposed for measuring the thickness and flow resistivity of a rigid air-saturated porous material using acoustic reflected waves at low frequency. The equivalent fluid model is considered. The interactions between the structure and the fluid are taken by the dynamic tortuosity of the medium introduced by Johnson et al. and the dynamic compressibility of the air introduced by Allard. A simplified expression of the reflection coefficient is obtained at very low frequencies domain (Darcy’s regime). This expression depends only on the thickness and flow resistivity of the porous medium. The simulated reflected signal of the direct problem is obtained by the product of the experimental incident signal and the theoretical reflection coefficient. The inverse problem is solved numerically by minimizing between simulated and experimental reflected signals. The tests are carried out using two samples of polyurethane plastic foam with different thicknesses and resistivity. The inverted values of thickness and flow resistivity are compared with those obtained by conventional methods giving good results.

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“…In [14,15], the static viscous permeability k 0 was successfully identified using transmitted and reflected waves of very low-frequency bandwidth, in the time domain. In [16], the direct problem of wave propagation in air-saturated porous media was worked out at low frequencies, using the inertial parameter of Norris α 0 in the low frequency approximation of the tortuosity.…”

Section: Introductionmentioning

confidence: 99%

Acoustical modeling and Bayesian inference for rigid porous media in the low-mid frequency regime

Roncen

Fellah

Lafarge

et al. 2018

The Journal of the Acoustical Society of America

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In this paper, a modeling extension for the description of wave propagation in porous media at low-mid frequencies is introduced. To better characterize the viscous and inertial interactions between the fluid and the structure in this regime, two additional terms described by two parameters α1 and α2 are taken into account in the representation of the dynamic tortuosity in a Laurent-series on frequency. The model limitations are discussed. A sensitivity analysis is performed, showing that the influence of α1 and α2 on the acoustic response of porous media is significant. A general Bayesian inference is then conducted to infer simultaneously the posterior probability densities of the model parameters. The proposed method is based on the measurement of waves transmitted by a slab of rigid porous material, using a temporal model for the direct and inverse transmission problem. Bayesian inference results obtained on three different porous materials are presented, which suggest that the two additional parameters are accessible and help reducing systematic errors in the identification of other parameters: porosity, static viscous permeability, static viscous tortuosity, static thermal permeability and static thermal tortuosity.

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Experimental determination of the viscous flow permeability of porous materials by measuring reflected low frequency acoustic waves

Cited by 13 publications

References 25 publications

Acoustic Absorption of Natural Fiber Composites

Acoustic Absorption of Natural Fiber Composites

Inverse Measurement of the Thickness and Flow Resistivity of Porous Materials via Reflected Low Frequency Waves-Frequency Approach

Acoustical modeling and Bayesian inference for rigid porous media in the low-mid frequency regime

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