Axisymmetric wave propagation in gas shear flow confined by a rigid-walled pipeline

doi:10.1088/1674-1056/24/4/044301

Abstract The axisymmetric acoustic wave propagating in a perfect gas with a shear pipeline flow confined by a circular rigid wall is investigated. The governing equations of non-isentropic and isentropic acoustic assumptions are mathematically deduced while the constraint of Zwikker and Kosten is relaxed. An iterative method based on the Fourier-Bessel theory is proposed to semi-analytically solve the proposed models. A comparison of numerical results with literature contributions validates the present contribution. Meanwhile, the features of some high-order transverse modes, which cannot be analyzed based on the Zwikker and Kosten theory, are analyzed.

Keywords: wave propagation shear flow thermoviscous gas Fourier-Bessel theory

Received: 04 July 2014
Revised: 16 October 2014
Accepted manuscript online:

PACS:	43.28.Kt	(Aerothermoacoustics and combustion acoustics)
	43.28.Ra	(Generation of sound by fluid flow, aerodynamic sound and turbulence)
	43.28.Py	(Interaction of fluid motion and sound, Doppler effect, and sound in flow ducts)
	43.28.Bj	(Mechanisms affecting sound propagation in air, sound speed in the air)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11404405, 91216201, 51205403, and 11302253).

Corresponding Authors: Chen Yong
E-mail: literature.chen@gmail.com

Cite this article:

Chen Yong (陈勇), Huang Yi-Yong (黄奕勇), Chen Xiao-Qian (陈小前), Bai Yu-Zhu (白玉铸), Tan Xiao-Dong (谭晓栋) Axisymmetric wave propagation in gas shear flow confined by a rigid-walled pipeline 2015 Chin. Phys. B 24 044301

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Axisymmetric wave propagation in gas shear flow confined by a rigid-walled pipeline

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