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

Mikael A. Langthjem; Masami Nakano

doi:10.1007/s00162-018-0462-4

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

Mikael A. Langthjem, Masami Nakano

New Industry Creation Hatchery Center (NICHe)

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	451-473
Number of pages	23
Journal	Theoretical and Computational Fluid Dynamics
Volume	32
Issue number	4
DOIs	https://doi.org/10.1007/s00162-018-0462-4
Publication status	Published - 2018 Aug 1

Keywords

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

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Engineering(all)
Fluid Flow and Transfer Processes

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10.1007/s00162-018-0462-4

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Langthjem, M. A., & Nakano, M. (2018). A combined analytical and numerical analysis of the flow-acoustic coupling in a cavity-pipe system. Theoretical and Computational Fluid Dynamics, 32(4), 451-473. https://doi.org/10.1007/s00162-018-0462-4

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abstract = "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.",

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