| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Effect of Mean Flow on Acoustic Wave Propagation in a Duct with a Periodic Array of Helmholtz Resonators |
| Jiang-Wei Liu1, Dian-Long Yu1, Hai-Bin Yang1**, Hui-Jie Shen2, Ji-Hong Wen1 |
1Laboratory of Science and Technology on Integrated Logistics Support, College of Intelligence Science and Technology, National University of Defense Technology, Changsha 410073
2College of Power Engineering, Naval University of Engineering, Wuhan 430033
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| Cite this article: |
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Jiang-Wei Liu, Dian-Long Yu, Hai-Bin Yang et al 2020 Chin. Phys. Lett. 37 034301 |
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Abstract Sound propagation properties of a duct system with Helmholtz resonators (HRs) are affected by mean flow. Previous studies have tended to focus on the effects of mean flows on acoustic response of a duct system with a finite number of HRs. Employing an empirical impedance model, we present a modified transfer matrix method for studying the effect of mean flow on the complex band structure of an air duct system with an infinite periodic array of HRs. The efficiency of the modified transfer matrix is demonstrated by comparison between an example of transmission response calculation for a finite single HR loaded duct and the finite element simulation result calculated using the COMSOL software. Numerical results are presented to analyze the effect of mean flow on the band structure and transmission loss of the sound wave in the duct system. It is hoped that this study will provide theoretical guidance for acoustic wave propagation of HR silencer in the presence of mean flow.
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Received: 18 September 2019
Published: 22 February 2020
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| PACS: |
43.40.+s
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(Structural acoustics and vibration)
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43.50.+y
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(Noise: its effects and control)
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47.60.-i
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(Flow phenomena in quasi-one-dimensional systems)
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11872371, 51705529, 11991032, and 11991034). |
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