GAUSSIAN SERIES SOLUTION FOR SONIC BLACK HOLES IN DUCT TERMINATIONS

Jie Deng, Oriol Guasch, Davide Ghilardi

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

Sonic black holes (ABHs) at duct terminations slow down impinging waves by means of a set of rings separated by cavities, whose inner radii diminish following a power law profile. Energy tends to concentrate at the end of the waveguide and is dissipated by visco-thermal losses, resulting in a very low reflection coefficient. This anechoic behavior is governed by a modified Webster equation that takes into account the wave propagation inside the duct of variable cross section and wall admittance. In this paper it is shown that the generalised Webster equation can be transformed into a Helmholtz-type equation with non-constant wave number. We solve its weak form by expanding the solution in terms of Gaussian functions and show how the modal distribution within the SBH affects the occurrence and disappearance of peaks and dips in the SBH reflection coefficient.

源语言英语
主期刊名Forum Acusticum 2023 - 10th Convention of the European Acoustics Association, EAA 2023
出版商European Acoustics Association, EAA
ISBN(电子版)9788888942674
出版状态已出版 - 2023
活动10th Convention of the European Acoustics Association, EAA 2023 - Torino, 意大利
期限: 11 9月 202315 9月 2023

出版系列

姓名Proceedings of Forum Acusticum
ISSN(印刷版)2221-3767

会议

会议10th Convention of the European Acoustics Association, EAA 2023
国家/地区意大利
Torino
时期11/09/2315/09/23

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