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Estimating characteristic lengths by combining direct measurements and the Kozeny-Carman relation
Quang Vu Tran1,2, Raymond Panneton2, Cong Truc Nguyen1
1Université Gustave Eiffel, Université Paris Est Creteil, CNRS, UMR 8208, MSME, Marne-la-Vallée F-77454, France.
JASA Express Letters
|March 2, 2026
Summary
This study enhances fibrous material characterization by combining ultrasound and Kozeny-Carman relations. This improves estimation of viscous and thermal characteristic lengths, overcoming limitations of traditional standing-wave tube methods for resistive materials.
Area of Science:
- Acoustics
- Materials Science
- Fluid Dynamics
Background:
- Indirect characterization of fibrous media uses visco-inertial and thermal frequency responses.
- Traditional methods struggle with highly resistive materials due to measurement range limitations.
Purpose of the Study:
- To develop an improved method for estimating macroscopic parameters of fibrous media.
- To overcome limitations of existing characterization techniques for highly resistive materials.
Main Methods:
- An alternative approach combining ultrasound-derived characteristic-length relations with Kozeny-Carman-type relations was developed.
- The method was validated using measurements on resistive felts.
Main Results:
- The proposed methodology successfully estimated viscous and thermal characteristic lengths.
- Improved parameter estimation was achieved from measurable parameters, even for highly resistive materials.
Conclusions:
- The novel approach enhances the indirect characterization of fibrous media.
- This method offers a viable solution for analyzing materials with high resistance, expanding the applicability of acoustic characterization techniques.
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