近日，德国柏林理工大学Sylvain C. Humbert研究组分析了正入射穿孔板声学与空气动力学的非线性耦合。相关论文于2025年12月25日发表在《理论与应用力学快报》杂志上。

研究组分析了由稳定偏置流本身和高振幅声学激励组合而成的穿孔板的平均非线性压力损失。对这一问题的解析处理得到一个显式公式，使人们能够估计平均流动阻力作为定常流速和非定常流速幅值的函数。非定常速度幅值(s)的增加导致平均流动阻力的增加，这突出了从声学到空气动力学的非线性耦合的存在。对于给定的平均流速（或压降）值，这意味着平均压力损失增加（或稳定流速减少）。

该模型强调，对于中等的噪声干扰，平均流量和噪声对平均流动压力损失的贡献加在一起，而对于较大的噪声速度幅值，压力损失主要与平均流速和最大噪声速度幅值的乘积成正比。最后，研究组利用该模型解释了在一些声学研究中，在声学阻力曲线上存在一个谷，而不是声学速度幅值。该模型的简单性使得考虑流体流动网络模型中的一维流动振荡效应，理解共声诱导平均流动阻力增加的基本机制，以及在估计穿孔板的共声阻抗时考虑这一现象具有吸引力。

附：英文原文

Title: Nonlinear coupling from acoustics to aerodynamics in perforated plates at normal incidence

Author: Sylvain C. Humbert

Issue&Volume: 2025-12-25

Abstract: This study addresses the mean nonlinear pressure loss through a perforated plate caused by the combination of the steady bias flow itself and high-amplitude acoustic excitations. An analytical treatment of this problem yields an explicit formula allowing one to estimate the mean flow resistance as a function of the steady flow velocity and unsteady velocity amplitudes. An increase in the unsteady velocity amplitude(s) yields an increase in the mean flow resistance, which highlights the presence of nonlinear coupling from acoustics to aerodynamics. For a given value of the mean flow velocity (or pressure drop), this causes an increase in the mean pressure loss (or a decrease in the steady flow velocity). The model highlights that for moderate acoustic disturbances, the mean flow and acoustic contributions to the mean flow pressure loss add up, whereas for large acoustic velocity amplitudes, the pressure loss is, to the leading order, proportional to the product of the mean flow velocity and the maximum acoustic velocity amplitude. Finally, the model is exploited to explain the presence in some acoustic studies of a valley in the acoustic resistance curve versus the acoustic velocity amplitude. The simplicity of the model makes it attractive to account for 1D flow oscillation effects in fluid flow network models, to understand the essential mechanisms at play in the acoustically induced increase in the mean flow resistance, and to take this phenomenon into account when estimating the acoustic impedance of perforated plates.

DOI: 10.1016/j.taml.2025.100647

Source: http://taml.cstam.org.cn/article/doi/10.1016/j.taml.2025.100647pageType=en