›› 2015, Vol. 24 ›› Issue (4): 44301-044301.doi: 10.1088/1674-1056/24/4/044301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

陈勇a, 黄奕勇a, 陈小前a, 白玉铸a, 谭晓栋b   

  1. a College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    b Department of Electronic Technology, Officer's College of CAPF, Chengdu 610213, China
  • 收稿日期:2014-07-04 修回日期:2014-10-16 出版日期:2015-04-05 发布日期:2015-04-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11404405, 91216201, 51205403, and 11302253).

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

Chen Yong (陈勇)a, Huang Yi-Yong (黄奕勇)a, Chen Xiao-Qian (陈小前)a, Bai Yu-Zhu (白玉铸)a, Tan Xiao-Dong (谭晓栋)b   

  1. a College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;
    b Department of Electronic Technology, Officer's College of CAPF, Chengdu 610213, China
  • Received:2014-07-04 Revised:2014-10-16 Online:2015-04-05 Published:2015-04-05
  • Contact: Chen Yong E-mail:literature.chen@gmail.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11404405, 91216201, 51205403, and 11302253).

摘要: 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.

关键词: wave propagation, shear flow, thermoviscous gas, Fourier-Bessel theory

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.

Key words: wave propagation, shear flow, thermoviscous gas, Fourier-Bessel theory

中图分类号:  (Aerothermoacoustics and combustion acoustics)

  • 43.28.Kt
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)