Tim e-domain Wave Propagation in Rigid Porous Media using Equivalent Fluid Model with a Quadratic Nonlinearity

التفاصيل البيبلوغرافية
العنوان: Tim e-domain Wave Propagation in Rigid Porous Media using Equivalent Fluid Model with a Quadratic Nonlinearity
المؤلفون: Moufid, Ilyes, Matignon, Denis, Roncen, Remi, Piot, Estelle
المساهمون: Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE), Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
سنة النشر: 2022
المجموعة: OATAO (Open Archive Toulouse Archive Ouverte - Université de Toulouse)
مصطلحات موضوعية: Autre, Wave Propagation, Forchheimer nonlinearity, Porous Media, Time Domain Simulation, Fractional Systems, Diffusive Representation
الوصف: The acoustic properties of rigid porous media can be described by the equivalent fluid model (EFM) in the frequency domain, involving complex-valued functions. These physical quantities can be irrational, which leads to fractional derivatives in the time domain. Besides, this model is built with a constant flow resistivity, which is known to grow linearly with the flow velocity in the Forchheimer regime. Hence, a correction on the EFM is made according to the Darcy-Forchheimer law, leading to a more general model with an additional nonlinear term. Here, an approach is presented to formulate the EFM equations with the Forchheimer’s correction in the time domain, where the fractional derivatives described by causal convolution are approximated by additional differential equations. It results in a nonlinear system on which an energy-based analysis is performed to ensure its stability under suitable conditions.
نوع الوثيقة: conference object
وصف الملف: application/pdf
اللغة: English
العلاقة: https://oatao.univ-toulouse.fr/28294/1/Moufid_28294.pdfTest; HAL : hal-04067441; Moufid, Ilyes and Matignon, Denis and Roncen, Remi and Piot, Estelle. Tim e-domain Wave Propagation in Rigid Porous Media using Equivalent Fluid Model with a Quadratic Nonlinearity. (2022) In: 10th European Nonlinear Dynamics Conference (ENOC), 17 July 2022 - 22 July 2022 (Lyon, France).
الإتاحة: https://oatao.univ-toulouse.fr/28294Test/
https://oatao.univ-toulouse.fr/28294/1/Moufid_28294.pdfTest
https://enoc2020.sciencesconf.org/340740Test
حقوق: info:eu-repo/semantics/openAccess
رقم الانضمام: edsbas.C16BA08B
قاعدة البيانات: BASE