The effect of 3D surface roughness on acoustic wave propagation in a cylindrical waveguide

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-02-23 DOI:10.1016/j.wavemoti.2024.103304

Yicheng Yu, Anton Krynkin, Kirill V. Horoshenkov

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引用次数: 0

Abstract

This paper studies the acoustic wave scattering and attenuation in a cylindrical waveguide (pipe) with wall roughness varying along all three dimensions and roughness height smaller than the acoustic wavelength. Using the decomposition of the acoustic wave field into deterministic and random components, small perturbation method and Fourier transform the analytical solution of a 3-D averaged acoustic wave field is obtained. The correction term describing the mechanism of wave attenuation caused by roughness and determined by the modal cross-talk is also derived. The solution for the plane wave is validated in the frequency range extended well beyond the second cut-off frequency, where the crosstalk between the fundamental and non-axisymmetric modes are observed. The analytical solution is compared with the numerical results obtained with the Monte-Carlo method and Finite Element solver. The numerical study results have demonstrated a close agreement with the analytical solution for the averaged sound field, dispersion curves, and the wave attenuation effect expressed as the wavenumber correction term. A key novelty of this work is a comprehensive analysis of wave dispersion and cut-off frequency changes due to the presence of 3-D wall roughness in a pipe.

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三维表面粗糙度对声波在圆柱形波导中传播的影响

本文研究了声波在壁面粗糙度沿三个维度变化且粗糙度高度小于声波波长的圆柱形波导中的散射和衰减。通过将声波场分解为确定分量和随机分量、小扰动法和傅里叶变换，得到了三维平均声波场的解析解。此外，还得出了描述粗糙度引起的波衰减机制的修正项，该机制由模态串扰决定。平面波的解法在远超过第二截止频率的频率范围内得到了验证，在该频率范围内可以观察到基频和非轴对称模态之间的串扰。分析解决方案与蒙特卡洛法和有限元求解器获得的数值结果进行了比较。数值研究结果表明，在平均声场、频散曲线和以文波数修正项表示的波衰减效应方面，分析解法与数值解法非常接近。这项工作的一个主要创新点是全面分析了由于存在三维壁面粗糙度而引起的波扩散和截止频率变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.