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

Mikael A. Langthjem1, Masami Nakano2

Faculty of Engineering, Yamagata University, Jonan, Yonezawa, Yamagata 992-8510, Japan.
Institute of Fluid Science, Tohoku University, Katahira, Aoba-ku, Sendai, Miyagi 980-8577, Japan.

Computer Modeling in Engineering & Sciences 2013, 96(4), 227-241. https://doi.org/10.3970/cmes.2013.096.227

Abstract

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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Langthjem, M. A., Nakano, M. (2013). Application of the Time-Domain Boundary Element Method to Analysis of Flow-Acoustic Interaction in a Hole-tone Feedback System with a Tailpipe. CMES-Computer Modeling in Engineering & Sciences, 96(4), 227–241.



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