Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models (2024)

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 languageEnglish
Pages (from-to)408-415
Number of pages8
JournalAIAA journal
Volume41
Issue number3
DOIs
Publication statusPublished - 2003
Externally publishedYes
Event7th AIAA/CEAS Aeroacoustics Conference 2001 - Maastricht, Netherlands
Duration: 28 May 200130 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 journalConference articleAcademicpeer-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

Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models (2024)

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