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An Inverse Method Based on Impedance Tubes for Determining Low-Frequency Non-acoustic Parameters of Rigid Porous Media

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Abstract

Background

The background of the study involves the characterization of porous media using an innovative acoustic method. The researchers focus on determining specific parameters related to wave propagation in porous materials. They utilize the equivalent fluid model, a special case of Biot’s theory, to understand how sound waves travel through these materials.

Purpose

The purpose of the study is to introduce a novel acoustic method for characterizing porous media and determining four important low-frequency non-acoustic parameters. These parameters are viscous permeability, thermal permeability, Norris’ inertial factor (viscous tortuosity), and Lafarge’s thermal tortuosity. The researchers aim to achieve this characterization by utilizing impedance measurements, numerical solutions for the inverse problem, and experimental data from polyurethane foam samples.

Results

The researchers successfully developed and applied the innovative acoustic method to estimate the aforementioned parameters for polyurethane foam samples. The method’s accuracy is demonstrated by showing consistent results with direct measurement techniques. Additionally, the absorption coefficients calculated through simulations closely match the experimental data. Importantly, the study’s key contribution is its simultaneous measurement of various parameters solely based on low-frequency experimental absorption coefficients. This approach offers a cost-effective and promising alternative to existing methods for characterizing porous media.

Conclusion

The study presents a new acoustic method that effectively characterizes porous media and determines key parameters related to wave propagation. This method has been applied to polyurethane foam samples and provides accurate results, offering a cost-effective alternative for characterizing porous materials with potential applications in noise control, acoustic insulation, and environmental acoustics.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

We gratefully acknowledge the support of the Mecanum Laboratory in Sherbrook, Canada, for their assistance in performing the direct measurement of the porosity, the flow resistivity of the samples, and the acoustic measurements of the absorption coefficients. This work was supported by the DGRSDT (PRFU) under the Number B00L02UN440120200001, (Algeria).

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Author notes

  1. Mustapha Sadouki

    Present address: Acoustics and Civil Engineering Laboratory, Matter Sciences Department, Faculty of Sciences and Technology, Khemis-Miliana University, BP 44225, Ain Defla, Algeria

Authors and Affiliations

  1. Acoustics and Civil Engineering Laboratory, Matter Sciences Department, Faculty of Sciences and Technology, Khemis-Miliana University, BP 44225, Ain Defla, Algeria

    Abdelmadjid Mahiou

  2. Theoretical Physics and Radiation Matter Interaction Laboratory, Blida University, Soumaa, Blida, Algeria

    Abdelmadjid Mahiou

Authors
  1. Abdelmadjid Mahiou
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Abdelmadjid Mahiou and Mustapha Sadouki. Mustapha Sadouki wrote the first draft of the manuscript, and all authors provided comments and revisions on previous versions. All authors have read and approved the final manuscript.

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Correspondence to Mustapha Sadouki.

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Mahiou, A., Sadouki, M. An Inverse Method Based on Impedance Tubes for Determining Low-Frequency Non-acoustic Parameters of Rigid Porous Media. J. Vib. Eng. Technol. 12, 4119–4129 (2024). https://doi.org/10.1007/s42417-023-01110-4

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