Explicit approximation of the wavenumber for lined ducts
| Autor: | Yves Aurégan, Vincent Pagneux, Maaz Farooqui |
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| Přispěvatelé: | Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Admittance
010504 meteorology & atmospheric sciences Acoustics and Ultrasonics Transcendental equation Rotational symmetry FOS: Physical sciences Newton Raphson method 01 natural sciences Physics::Fluid Dynamics Dispersion function Arts and Humanities (miscellaneous) Approximation error Complex functions Dispersion relation 0103 physical sciences Wavenumber Acoustical properties 010301 acoustics 0105 earth and related environmental sciences Physics Numerical analysis Mathematical analysis Fluid Dynamics (physics.flu-dyn) Acoustic wave Physics - Fluid Dynamics Computational Physics (physics.comp-ph) Partial differential equations [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] Computer Science::Sound Acoustic wave propagation Physics - Computational Physics Acoustic signal processing |
| Zdroj: | Journal of the Acoustical Society of America Journal of the Acoustical Society of America, Acoustical Society of America, 2018, 144 (3), pp.EL191-EL195. ⟨10.1121/1.5054888⟩ |
| ISSN: | 0001-4966 1520-8524 |
| DOI: | 10.1121/1.5054888⟩ |
| Popis: | For acoustic waves in lined ducts, at given frequencies, the dispersion relation leads to a transcendental equation for the wavenumber that has to be solved by numerical methods. Based on Eckart explicit expression initially derived for water waves, accurate explicit approximations are proposed for the wavenumber of the fundamental mode in lined ducts. While Eckart expression is 5 % accurate, some improved approximations can reach maximum relative error of less than 10 raised to -8. The cases with small dissipation part in the admittance of the liner and/or axisymmetric ducts are also considered. 4 pages, 4 figures, The Journal of the Acoustical Society of America- Express Letter |
| Databáze: | OpenAIRE |
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