Abstract
We consider self-sustained oscillations of the grazing flow along the neck of a Helmholtz-like resonator. Such oscillations are driven by a coupling between the intrinsic instability of the shear layer, separating the main flow from the cavity, and the resonant acoustical field in the cavity. Depending on details of the shape of the neck, acoustical velocities through the neck of the resonator of the same order of magnitude as the main flow velocity can be reached. For particular neck geometries, whistling is suppressed. A nonlinear model, which assumes that the vorticity of the shear layer is concentrated in line vortices traveling at constant velocity, provides insight into the phenomenon. For rounded edges, the model predicts the pulsation amplitude of the first hydrodynamic mode surprisingly well but severely overestimates the amplitude of higher hydrodynamic modes. For sharp edges, a
modification of the original model is proposed, which yields a reasonable prediction of the pulsation amplitude (within a factor of two) of the first hydrodynamic mode and does not overestimate higher hydrodynamic modes.
Original language | English |
---|---|
Pages (from-to) | 408-415 |
Number of pages | 8 |
Journal | AIAA journal |
Volume | 41 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2003 |
Externally published | Yes |
Event | 7th AIAA/CEAS Aeroacoustics Conference 2001 - Maastricht, Netherlands Duration: 28 May 2001 → 30 May 2001 Conference number: 7 |
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Dequand, S., Luo, X., Willems, J., & Hirschberg, A. (2003). Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models. AIAA journal, 41(3), 408-415. https://doi.org/10.2514/2.1991
Dequand, S. ; Luo, X. ; Willems, J. et al. / Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1 : Acoustical Measurements and Analytical Models. In: AIAA journal. 2003 ; Vol. 41, No. 3. pp. 408-415.
@article{a19d6152689a4caab3a21495b4ba6be1,
title = "Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models",
abstract = "We consider self-sustained oscillations of the grazing flow along the neck of a Helmholtz-like resonator. Such oscillations are driven by a coupling between the intrinsic instability of the shear layer, separating the main flow from the cavity, and the resonant acoustical field in the cavity. Depending on details of the shape of the neck, acoustical velocities through the neck of the resonator of the same order of magnitude as the main flow velocity can be reached. For particular neck geometries, whistling is suppressed. A nonlinear model, which assumes that the vorticity of the shear layer is concentrated in line vortices traveling at constant velocity, provides insight into the phenomenon. For rounded edges, the model predicts the pulsation amplitude of the first hydrodynamic mode surprisingly well but severely overestimates the amplitude of higher hydrodynamic modes. For sharp edges, amodification of the original model is proposed, which yields a reasonable prediction of the pulsation amplitude (within a factor of two) of the first hydrodynamic mode and does not overestimate higher hydrodynamic modes.",
author = "S. Dequand and X. Luo and J. Willems and A. Hirschberg",
year = "2003",
doi = "10.2514/2.1991",
language = "English",
volume = "41",
pages = "408--415",
journal = "AIAA journal",
issn = "0001-1452",
publisher = "American Institute of Aeronautics and Astronautics",
number = "3",
note = "7th AIAA/CEAS Aeroacoustics Conference 2001 ; Conference date: 28-05-2001 Through 30-05-2001",
}
Dequand, S, Luo, X, Willems, J & Hirschberg, A 2003, 'Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models', AIAA journal, vol. 41, no. 3, pp. 408-415. https://doi.org/10.2514/2.1991
Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models. / Dequand, S.; Luo, X.; Willems, J. et al.
In: AIAA journal, Vol. 41, No. 3, 2003, p. 408-415.
Research output: Contribution to journal › Conference article › Academic › peer-review
TY - JOUR
T1 - Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1
T2 - 7th AIAA/CEAS Aeroacoustics Conference 2001
AU - Dequand, S.
AU - Luo, X.
AU - Willems, J.
AU - Hirschberg, A.
N1 - Conference code: 7
PY - 2003
Y1 - 2003
N2 - We consider self-sustained oscillations of the grazing flow along the neck of a Helmholtz-like resonator. Such oscillations are driven by a coupling between the intrinsic instability of the shear layer, separating the main flow from the cavity, and the resonant acoustical field in the cavity. Depending on details of the shape of the neck, acoustical velocities through the neck of the resonator of the same order of magnitude as the main flow velocity can be reached. For particular neck geometries, whistling is suppressed. A nonlinear model, which assumes that the vorticity of the shear layer is concentrated in line vortices traveling at constant velocity, provides insight into the phenomenon. For rounded edges, the model predicts the pulsation amplitude of the first hydrodynamic mode surprisingly well but severely overestimates the amplitude of higher hydrodynamic modes. For sharp edges, amodification of the original model is proposed, which yields a reasonable prediction of the pulsation amplitude (within a factor of two) of the first hydrodynamic mode and does not overestimate higher hydrodynamic modes.
AB - We consider self-sustained oscillations of the grazing flow along the neck of a Helmholtz-like resonator. Such oscillations are driven by a coupling between the intrinsic instability of the shear layer, separating the main flow from the cavity, and the resonant acoustical field in the cavity. Depending on details of the shape of the neck, acoustical velocities through the neck of the resonator of the same order of magnitude as the main flow velocity can be reached. For particular neck geometries, whistling is suppressed. A nonlinear model, which assumes that the vorticity of the shear layer is concentrated in line vortices traveling at constant velocity, provides insight into the phenomenon. For rounded edges, the model predicts the pulsation amplitude of the first hydrodynamic mode surprisingly well but severely overestimates the amplitude of higher hydrodynamic modes. For sharp edges, amodification of the original model is proposed, which yields a reasonable prediction of the pulsation amplitude (within a factor of two) of the first hydrodynamic mode and does not overestimate higher hydrodynamic modes.
U2 - 10.2514/2.1991
DO - 10.2514/2.1991
M3 - Conference article
SN - 0001-1452
VL - 41
SP - 408
EP - 415
JO - AIAA journal
JF - AIAA journal
IS - 3
Y2 - 28 May 2001 through 30 May 2001
ER -
Dequand S, Luo X, Willems J, Hirschberg A. Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models. AIAA journal. 2003;41(3):408-415. doi: 10.2514/2.1991