Application of the Time-Domain Boundary Element Method to Analysis of Flow-Acoustic Interaction in a Hole-tone Feedback System with a Tailpipe

This paper is concerned with a mathematical model of a simple axisymmetric silencer-like model, consisting of a hole-tone feedback system equipped with a tailpipe. The unstable shear layer is modeled via a discrete vortex method, based on axisymmetric vortex rings. The aeroacoustic model is based on...

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Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 96; no. 4; pp. 227 - 241
Main Authors Langthjem, Mikael A, Nakano, Masami
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 2013
Subjects
Aerodynamics
Axisymmetric
Boundary element method
Computational fluid dynamics
Exhaust pipes
Feedback
Fluid flow
Mathematical analysis
Mathematical models
Nonlinear programming
Numerical models
Oscillations
Shear layers
Time domain analysis
Vortex rings
Vortices
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Summary:This paper is concerned with a mathematical model of a simple axisymmetric silencer-like model, consisting of a hole-tone feedback system equipped with a tailpipe. The unstable shear layer is modeled via a discrete vortex method, based on axisymmetric vortex rings. The aeroacoustic model is based on the Powell- Howe theory of vortex sound. Boundary integrals are discretized via the boundary element method; but the tailpipe is represented by the exact (one-dimensional) solution. It is demonstrated though numerical examples that this numerical model can display lock-in of the self-sustained flow oscillations to the resonant acoustic oscillations.
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ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2013.096.227