Viscothermal effects in ducts at audible frequencies. Application to wind musical instruments

التفاصيل البيبلوغرافية
العنوان: Viscothermal effects in ducts at audible frequencies. Application to wind musical instruments
المؤلفون: Chabassier, Juliette, Thibault, Alexis
المساهمون: Modélisation et simulation de la propagation des ondes fondées sur des mesures expérimentales pour caractériser des milieux géophysiques et héliophysiques et concevoir des objets complexes (MAKUTU), Laboratoire de Mathématiques et de leurs Applications Pau (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Polytechnique de Bordeaux (Bordeaux INP), Sciences et Technologies de la Musique et du Son (STMS), Institut de Recherche et Coordination Acoustique/Musique (IRCAM)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
المصدر: Forum Acusticum 2023 - 10th Convention of the European Acoustics Association ; https://inria.hal.science/hal-04251425Test ; Forum Acusticum 2023 - 10th Convention of the European Acoustics Association, Sep 2023, Torino, Italy
بيانات النشر: HAL CCSD
سنة النشر: 2023
المجموعة: HAL e2s UPPA (Université de Pau et des Pays de l'Adour)
مصطلحات موضوعية: viscothermal boundary layers, linear acoustic wave propagation, pipe modelling, model error, input impedance, [MATH]Mathematics [math], [PHYS]Physics [physics]
جغرافية الموضوع: Torino, Italy
الوصف: International audience ; Viscous and thermal effects occur during the propagation of linear waves in a pipe. Many propagation models are used in musical acoustics, based on different assumptions that induce various model errors. The thermoviscous (or viscothermal) equations are derived from the non-linear 3D Navier-Stokes (NS) equations for a perfect gas by linearization around a uniform steady state. Analytical or numerical solutions can be proposed, after more or less deep modifications of the original system. These derived models will be summarized in a synthetic diagram specifying the assumptions performed for each one. Far from the walls, a standard 3D Helmholtz equation is valid while an effective boundary condition can replace the viscothermal "boundary layers" near the walls of the pipe. Available 1D models describe the propagation of the mean pressure on a well chosen surface and account for thermoviscous effects as a modification of the transmission line coefficients, for cylindrical and conical geometries. This work proposes an evaluation of some of these models (3D and 1D), through a quantitative estimation of model errors in relation to their domains of validity, as well as a numerical comparison for cylindrical and conical domains of propagation.
نوع الوثيقة: conference object
اللغة: English
العلاقة: hal-04251425; https://inria.hal.science/hal-04251425Test; https://inria.hal.science/hal-04251425/documentTest; https://inria.hal.science/hal-04251425/file/FA2023_CHATHI_final.pdfTest
الإتاحة: https://inria.hal.science/hal-04251425Test
https://inria.hal.science/hal-04251425/documentTest
https://inria.hal.science/hal-04251425/file/FA2023_CHATHI_final.pdfTest
حقوق: http://hal.archives-ouvertes.fr/licences/copyrightTest/ ; info:eu-repo/semantics/OpenAccess
رقم الانضمام: edsbas.1506523E
قاعدة البيانات: BASE