On the calculation of the complex wavenumber of plane waves in rigid-walled low-Mach-number turbulent pipe flows. (13th October 2015)

• Record Type: Journal Article
• Authors: Weng, Chenyang; Boij, Susann; Hanifi, Ardeshir
• Is Part Of: Journal of sound and vibration. Volume 354(2015)
• Page Start: 132
• Page End: 153
• Publication Date: 2015-10-13
• Subjects: Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2015.06.013
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: A numerical method for calculating the wavenumbers of axisymmetric plane waves in rigid-walled low-Mach-number turbulent flows is proposed, which is based on solving the linearized Navier–Stokes equations with an eddy-viscosity model. In addition, theoretical models for the wavenumbers are reviewed, and the main effects (the viscothermal effects, the mean flow convection and refraction effects, the turbulent absorption, and the moderate compressibility effects) which may influence the sound propagation are discussed. Compared to the theoretical models, the proposed numerical method has the advantage of potentially including more effects in the computed wavenumbers. The numerical results of the wavenumbers are compared with the reviewed theoretical models, as well as experimental data from the literature. It shows that the proposed numerical method can give satisfactory prediction of both the real part (phase shift) and the imaginary part (attenuation) of the measured wavenumbers, especially when the refraction effects or the turbulent absorption effects become important.