Theoretical and Computational Fluid Dynamics

, Volume 32, Issue 4, pp 451–473 | Cite as

A combined analytical and numerical analysis of the flow-acoustic coupling in a cavity-pipe system

  • Mikael A. LangthjemEmail author
  • Masami Nakano
Original Article


The generation of sound by flow through a closed, cylindrical cavity (expansion chamber) accommodated with a long tailpipe is investigated analytically and numerically. The sound generation is due to self-sustained flow oscillations in the cavity. These oscillations may, in turn, generate standing (resonant) acoustic waves in the tailpipe. The main interest of the paper is in the interaction between these two sound sources. An analytical, approximate solution of the acoustic part of the problem is obtained via the method of matched asymptotic expansions. The sound-generating flow is represented by a discrete vortex method, based on axisymmetric vortex rings. It is demonstrated through numerical examples that inclusion of acoustic feedback from the tailpipe is essential for a good representation of the sound characteristics.


Aeroacoustics Vortex sound Flow–sound interaction Matched asymptotic expansions Self-sustained flow oscillations Discrete vortex method 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of EngineeringYamagata UniversityYonezawa-shiJapan
  2. 2.Institute of Fluid ScienceTohoku UniversitySendai-shiJapan

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