Influence of Higher Order Viscous and Thermal Effects on an Ultrasonic Wave Reflected from the First Interface of a Porous Material
Zine El Abiddine Fellah,
Rémi Roncen,
Nicholas O. Ongwen,
Erick Ogam,
Mohamed Fellah,
Claude Depollier
Affiliations
Zine El Abiddine Fellah
Laboratory of Mechanics and Acoustics, French National Centre for Scientific Research LMA, CNRS, UMR 7031, Centrale Marseille, Aix-Marseille University CEDEX 20, F-13402 Marseille, France
Rémi Roncen
French Aerospace Lab, ONERA/Multi-Physics Department for Energy, Toulouse University, F-31055 Toulouse, France
Nicholas O. Ongwen
Department of Physics and Materials Science, Maseno University, Maseno 40105, Kenya
Erick Ogam
Laboratory of Mechanics and Acoustics, French National Centre for Scientific Research LMA, CNRS, UMR 7031, Centrale Marseille, Aix-Marseille University CEDEX 20, F-13402 Marseille, France
Mohamed Fellah
Laboratory of Theoretical Physics, Faculty of Physics, University of Science and Technology Houari-Boumediene BP 32 El Alia, Bab Ezzouar 16111, Algeria
Claude Depollier
French National Centre for Scientific Research, CNRS UMR 6613, Acoustics Laboratory of the University of Le Mans, UFR STS Avenue O. Messiaen, CEDEX 09, F-72085 Le Mans, France
Ultrasound propagation in porous materials involves some higher order physical parameters whose importance depends on the acoustic characteristics of the materials. This article concerns the study of the influence of two parameters recently introduced, namely, the viscous and thermal surfaces, on the acoustic wave reflected by the first interface of a porous material with a rigid structure. These two parameters describe the fluid/structure interactions in a porous medium during the propagation of the acoustic wave in the high-frequency regime. Both viscous and thermal surfaces are involved in Laurent expansion, which is limited to the dynamic tortuosity and compressibility to a higher order and corrects the visco-thermal losses. A sensitivity study is performed on the modulus of the reflection coefficient at the first interface as a function of frequency and on the waveforms reflected by the porous material in the time domain. The results of this study show that highly absorbent porous materials are the most sensitive to viscous and thermal surfaces, which makes the consideration of these two parameters paramount for the characterization of highly absorbent porous materials using the waves reflected from the first interface.