An acoustic model of a Helmholtz resonator under a grazing turbulent boundary layer

An acoustic model of a Helmholtz resonator under a grazing turbulent boundary layer
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掠湍流边界层下亥姆霍兹谐振器的声学模型

DOI:
10.1007/s00707-018-2354-5
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发表时间:
2019
期刊:
影响因子:
2.7
通讯作者:
Jörn Sesterhenn
Jörn Sesterhenn
中科院分区:
工程技术3区
文献类型:
--
作者:
Lewin Stein;Jörn Sesterhenn

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湍流共振管道系统的声学模型依赖于基于昂贵的实验测试系列的拟合常数。我们介绍了一种新的模型的谐振腔,齐平安装在管道或平板,下掠湍流。基于Goody,Howe和Golliard以前的工作,我们提出了一个更普遍的模型,其中常数被物理上重要的参数所取代。这使得用户能够理解并追溯设计参数(几何形状、流体条件)的修改将如何影响声学特性。该模型的推导得到了详细的三维直接数值模拟以及实验测试系列的支持。我们表明,该模型是有效的低马赫数流动()和低频率(低于较高的横向空腔模式)。因此,在这个范围内,不再需要昂贵的模拟或实验来预测声谱。原则上,该模型适用于任意几何形状:只需应用所提供的定义来更新重要参数。该模型采用集总单元法,单元可互换,使用灵活。即使该模型是线性的,声学腔模式和流体动力学不稳定模式之间的共振条件被正确地预测。
Acoustic models of resonant duct systems with turbulent flow depend on fitted constants based on expensive experimental test series. We introduce a new model of a resonant cavity, flush mounted in a duct or flat plate, under grazing turbulent flow. Based on previous work by Goody, Howe and Golliard, we present a more universal model where the constants are replaced by physically significant parameters. This enables the user to understand and to trace back how a modification of design parameters (geometry, fluid condition) will affect acoustic properties. The derivation of the model is supported by a detailed three-dimensional direct numerical simulation as well as an experimental test series. We show that the model is valid for low Mach number flows () and for low frequencies (below higher transverse cavity modes). Hence, within this range, no expensive simulation or experiment is needed any longer to predict the sound spectrum. In principle, the model is applicable to arbitrary geometries: Just the provided definitions need to be applied to update the significant parameters. Utilizing the lumped-element method, the model consists of exchangeable elements and guarantees a flexible use. Even though the model is linear, resonance conditions between acoustic cavity modes and fluid dynamic unstable modes are correctly predicted.
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