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...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Journal of sound and vibration Ročník 593; s. 118660
Hlavní autori: Stoychev, Alexander K., Noiray, Nicolas
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 22.12.2024
Predmet:
Acoustics
Aeroacoustics
Nonlinear dynamical systems
Reduced order modeling
Acoustics
Nonlinear dynamical systems
Aeroacoustics
Reduced order modeling
ISSN:0022-460X
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí: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.
ISSN:0022-460X
DOI:10.1016/j.jsv.2024.118660