Nonlinear dynamics of an acoustically compact orifice
This work presents a three dimensional, reduced order model of the dynamics of an acoustically compact aperture, subject to an arbitrary pressure forcing. It provides the time evolution of the velocity profile across the orifice section as function of the dynamical pressure excitation. The volume fl...
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| Vydáno v: | Journal of sound and vibration Ročník 593; s. 118660 |
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| Jazyk: | angličtina |
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Elsevier Ltd
22.12.2024
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| ISSN: | 0022-460X |
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| Abstract | This work presents a three dimensional, reduced order model of the dynamics of an acoustically compact aperture, subject to an arbitrary pressure forcing. It provides the time evolution of the velocity profile across the orifice section as function of the dynamical pressure excitation. The volume flow can be deduced therefrom, and can thus provide predictions of the fundamental frequency based orifice impedance. The representation of the nonlinear aperture flow proposed here establishes a direct mathematical relation to the fundamental equations of fluid mechanics. This offers a better understanding of the dominant physical mechanisms governing the system‘s dynamics and allows for good a priori estimates without supporting experiments. The model assumes that the viscosity induced rotational component of the fluid motion can be reduced to a discontinuity at the in-flow plane of the thin orifice, without significantly influencing the normal velocity profile. This seemingly unconventional assumption is solely targeting the acoustics problem and is validated with direct numerical simulations (DNS) of the aperture flow, using a compressible solver of the Navier–Stokes equations. Apart from the DNS, the model predictions are also validated against well established experimental results from the literature.
•Nonlinear mathematical model of an acoustically compact aperture is proposed.•The model is directly relatable to the fundamental equations of fluid mechanics.•The model fits experimental data well, especially in the strongly nonlinear regime. |
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| AbstractList | This work presents a three dimensional, reduced order model of the dynamics of an acoustically compact aperture, subject to an arbitrary pressure forcing. It provides the time evolution of the velocity profile across the orifice section as function of the dynamical pressure excitation. The volume flow can be deduced therefrom, and can thus provide predictions of the fundamental frequency based orifice impedance. The representation of the nonlinear aperture flow proposed here establishes a direct mathematical relation to the fundamental equations of fluid mechanics. This offers a better understanding of the dominant physical mechanisms governing the system‘s dynamics and allows for good a priori estimates without supporting experiments. The model assumes that the viscosity induced rotational component of the fluid motion can be reduced to a discontinuity at the in-flow plane of the thin orifice, without significantly influencing the normal velocity profile. This seemingly unconventional assumption is solely targeting the acoustics problem and is validated with direct numerical simulations (DNS) of the aperture flow, using a compressible solver of the Navier–Stokes equations. Apart from the DNS, the model predictions are also validated against well established experimental results from the literature.
•Nonlinear mathematical model of an acoustically compact aperture is proposed.•The model is directly relatable to the fundamental equations of fluid mechanics.•The model fits experimental data well, especially in the strongly nonlinear regime. |
| ArticleNumber | 118660 |
| Author | Stoychev, Alexander K. Noiray, Nicolas |
| Author_xml | – sequence: 1 givenname: Alexander K. orcidid: 0000-0001-8996-6327 surname: Stoychev fullname: Stoychev, Alexander K. email: astoychev@ethz.ch – sequence: 2 givenname: Nicolas orcidid: 0000-0003-3362-9721 surname: Noiray fullname: Noiray, Nicolas email: noirayn@ethz.ch |
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| Cites_doi | 10.1121/1.393691 10.1016/j.jsv.2007.04.027 10.1017/jfm.2016.332 10.1006/jsvi.1993.1072 10.1002/sapm1975543261 10.1007/BF01389582 10.1016/j.jsv.2022.117435 10.1063/1.1423934 10.1016/j.jsv.2022.116816 10.1016/0022-460X(83)90828-3 10.1098/rspa.2023.0718 10.1017/S0022112079000124 10.1121/1.1907235 10.1016/0022-460X(80)90308-9 10.1121/1.1915795 10.1016/j.jsv.2016.12.027 10.1016/j.jsv.2005.08.012 10.1017/jfm.2023.256 10.1121/1.381232 10.1121/1.1909021 10.1121/1.1914991 10.1016/0022-460X(80)90307-7 10.2514/2.1178 10.1121/1.1910576 10.1016/j.jsv.2016.08.006 10.1017/jfm.2020.187 10.1017/S0013091500027644 10.1121/1.1907003 |
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| Keywords | Acoustics Nonlinear dynamical systems Aeroacoustics Reduced order modeling |
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| Title | Nonlinear dynamics of an acoustically compact orifice |
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