Asymptotic modeling of Helmholtz resonators including thermoviscous effects
Asymptotic modeling of Helmholtz resonators including thermoviscous effects
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DOI：
10.1016/j.wavemoti.2020.102583
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发表时间：
2020-09-01
期刊：
影响因子：
2.4
通讯作者：
Schnitzer, Ory
中科院分区：
文献类型：
--
作者：
Brandao, Rodolfo;Schnitzer, Ory
我们系统地采用匹配渐近展开的方法来模拟亥姆霍兹谐振器，从第一原理开始纳入热粘性效应，并精确定义并明确提供了用于广泛几何形状的表征颈和腔几何形状的集中参数。着眼于声学超表面的建模，我们考虑嵌入刚性表面的谐振器，每个谐振器由任意形状的腔组成，通过一个小圆柱颈连接到外部半空间。大部分的分析都致力于解决单个谐振器受到正常入射平面波的问题；然后使用“Foldy方法”将该模型扩展到受任意入射场作用的多个谐振腔的情况。作为一个例子，我们分别推导了单谐振器和模型超表面的最佳吸收和完美吸收的临界耦合条件。(C) 2020 Elsevier B.V.版权所有
We systematically employ the method of matched asymptotic expansions to model Helmholtz resonators, with thermoviscous effects incorporated starting from first principles and with the lumped parameters characterizing the neck and cavity geometries precisely defined and provided explicitly for a wide range of geometries. With an eye towards modeling acoustic metasurfaces, we consider resonators embedded in a rigid surface, each resonator consisting of an arbitrarily shaped cavity connected to the external half-space by a small cylindrical neck. The bulk of the analysis is devoted to the problem where a single resonator is subjected to a normally incident plane wave; the model is then extended using "Foldy's method" to the case of multiple resonators subjected to an arbitrary incident field. As an illustration, we derive critical-coupling conditions for optimal and perfect absorption by a single resonator and a model metasurface, respectively. (C) 2020 Elsevier B.V. All rights reserved.