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Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness

The acoustic inertia of the canonical configuration of inclined circular aperture(s) in a finite-thickness plate at the low frequency limit is investigated under the inviscid still-air condition. A hybrid approach combining modal expansion and boundary element method is applied to calculate the effe...

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Main Authors: Jialin Su, Hongwei Cheng, Dong Yang
Format: Default Article
Published: 2023
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Online Access:https://hdl.handle.net/2134/24613944.v1
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author Jialin Su
Hongwei Cheng
Dong Yang
author_facet Jialin Su
Hongwei Cheng
Dong Yang
author_sort Jialin Su (2546098)
collection Figshare
description The acoustic inertia of the canonical configuration of inclined circular aperture(s) in a finite-thickness plate at the low frequency limit is investigated under the inviscid still-air condition. A hybrid approach combining modal expansion and boundary element method is applied to calculate the effective length of the aperture as a quantitative characterisation of its acoustic inertia. These calculations, covering different inclination angles up to 75°, are performed for a single isolated aperture with a selected range of plate thickness and the periodic aperture arrays of aligned and staggered arrangements with a selected range of aperture spacing respectively. The results are validated by the simulations carried out with the commercial software COMSOL. The parametric studies of geometric dimensions included in this work provide representative results for typical acoustic related engineering applications of finite-length inclined apertures. A link for access to the MATLAB programmes implementing the calculations is provided for interested readers. As an example of application, the hybrid method described in this work is used for the acoustic modelling of a representative multi-perforated liner studied in the literature for the problem of thermo-acoustic instability. The results compared well against those obtained from the Computational Fluid Dynamics simulations reported in the literature.
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institution Loughborough University
publishDate 2023
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spelling rr-article-246139442023-10-24T00:00:00Z Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness Jialin Su (2546098) Hongwei Cheng (327999) Dong Yang (141041) Engineering Physical sciences Acoustics Perforated liner Inclined aperture Effective length Transfer impedance The acoustic inertia of the canonical configuration of inclined circular aperture(s) in a finite-thickness plate at the low frequency limit is investigated under the inviscid still-air condition. A hybrid approach combining modal expansion and boundary element method is applied to calculate the effective length of the aperture as a quantitative characterisation of its acoustic inertia. These calculations, covering different inclination angles up to 75°, are performed for a single isolated aperture with a selected range of plate thickness and the periodic aperture arrays of aligned and staggered arrangements with a selected range of aperture spacing respectively. The results are validated by the simulations carried out with the commercial software COMSOL. The parametric studies of geometric dimensions included in this work provide representative results for typical acoustic related engineering applications of finite-length inclined apertures. A link for access to the MATLAB programmes implementing the calculations is provided for interested readers. As an example of application, the hybrid method described in this work is used for the acoustic modelling of a representative multi-perforated liner studied in the literature for the problem of thermo-acoustic instability. The results compared well against those obtained from the Computational Fluid Dynamics simulations reported in the literature.<p></p> 2023-10-24T00:00:00Z Text Journal contribution 2134/24613944.v1 https://figshare.com/articles/journal_contribution/Low-frequency_still-air_acoustic_inertia_of_inclined_circular_aperture_in_an_infinite_flat_plate_of_finite_thickness/24613944 CC BY 4.0
spellingShingle Engineering
Physical sciences
Acoustics
Perforated liner
Inclined aperture
Effective length
Transfer impedance
Jialin Su
Hongwei Cheng
Dong Yang
Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title_full Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title_fullStr Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title_full_unstemmed Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title_short Low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
title_sort low-frequency still-air acoustic inertia of inclined circular aperture in an infinite flat plate of finite thickness
topic Engineering
Physical sciences
Acoustics
Perforated liner
Inclined aperture
Effective length
Transfer impedance
url https://hdl.handle.net/2134/24613944.v1