Transient Acoustic Wave Propagation in Non-Integer-Dimensional Rigid Porous Media
| Autor: | Mustapha Sadouki, Zine El Abiddine Fellah, Amine Berbiche, Mohamed Fellah, C. Depollier |
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| Přispěvatelé: | Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM) |
| Rok vydání: | 2013 |
| Předmět: |
[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]
Biot number Laplace transform Mathematical analysis Wave equation 01 natural sciences [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] 010305 fluids & plasmas Fractional calculus 0103 physical sciences Thermal Time domain Porosity Porous medium 010301 acoustics Mathematics |
| Zdroj: | Poromechanics V: Proceedings of the Fifth Biot Conference on Poromechanics Fifth Biot Conference on Poromechanics Fifth Biot Conference on Poromechanics, Jul 2013, Vienne, Austria. pp.259-266 |
| DOI: | 10.1061/9780784412992.030 |
| Popis: | International audience; This study concerns the ultrasonic wave propagation in fractional dimensional rigid porousmedia. A Biot equivalent fluid model with a non-integer dimensional space is developed using the Stillinger-Palmer Staravinou formalism. A generalized lossy wave equation is derived and solved analytically in time domain. The coefficients of the propagation equation are constant and depend only on the fractional dimension and the acoustical parameters of the porous material. As in the integer dimension case, the obtained propagation equation contains fractional derivative terms that describe viscous and thermal interactions between the solid and the fluid. The dynamic response of the material is obtained using the Laplace transform method. |
| Databáze: | OpenAIRE |
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