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The influence of a stationary uniform axial flow on the propagation of acoustic modes of vibration in a cylindrical duct

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
15
Issue
4
Identifiers
DOI: 10.1016/0022-460x(71)90405-6
Disciplines
  • Musicology
  • Physics

Abstract

Abstract The propagation, in a cylindrical duct, of acoustic modes of vibration whose wavelength is smaller than the damping length, is studied in the presence of a stationary uniform axial flow. The conditions for propagation are investigated and the space-time structure of the direct ( ν φ ν g > 0) downstream ( ν φ > 0) mode and upstream ( ν φ < 0) mode and of the inverse modes ( ν φ ν g < 0) are determined as functions of the flow velocity V 0 and of the duct wall impedance Z. ( ν φ is the phase velocity and ν g the group velocity.) The damping and the energy ratio of the modes are also studied as functions of V 0 and Z.

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