Explicit approximation of the wavenumber for lined ducts - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Acoustical Society of America Année : 2018

Explicit approximation of the wavenumber for lined ducts

(1) , (1) , (1)
1

Résumé

For acoustic waves in lined ducts, at given frequencies, the dispersion relation leads to a transcendental equation for the wavenum-ber 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 −8. The cases with small dissipation part in the admittance of the liner and/or axisymmetric ducts are also considered.
Fichier principal
Vignette du fichier
Disp_JASA_Revised_1c_Maaz.pdf (609.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01937204 , version 1 (04-12-2018)

Identifiants

Citer

Maaz Farooqui, Yves Aurégan, Vincent Pagneux. Explicit approximation of the wavenumber for lined ducts. Journal of the Acoustical Society of America, 2018, 144 (3), pp.EL191-EL195. ⟨10.1121/1.5054888⟩. ⟨hal-01937204⟩
50 Consultations
132 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More