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

机译：腔管系统中流动声耦合的组合分析与数值分析

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摘要

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.
机译：通过流过流出的声音的产生容纳有长尾管的闭合圆柱腔（膨胀室）进行分析和数值进行研究。 声音产生是由于空腔中的自持流动振荡。 这些振荡又可以在尾管中产生常设（谐振）声波。 本文的主要兴趣在于这两个声源之间的相互作用。 通过匹配的渐近扩展的方法获得了问题的声学部分的分析近似解。 发声流动通过基于轴对称涡旋环的离散涡流方法表示。 通过数值示例来证明，包括从尾管的声反馈包含声反馈对于声音特性的良好表示是必不可少的。

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