Validation of a Quadrupol Model of Sound Radiation of a Turbulent Jet Based on Multi-Microphone Acoustic Measurements

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A low-order model of quadrupole sound sources in a turbulent jet has been developed using the acoustic analogy method. Multi-microphone acoustic measurements of jet sound radiation are used to estimate the model parameters and validate it. Based on measurements carried out in different zones of the sound field, estimates of the size of the effective localization region of sound sources are made and the boundaries of the zone of dominance of quadrupole sound radiation over pseudosonic pulsations are determined. The proposed model can be used in practical estimates of the spectral and correlation characteristics of the far and near sound field of the jet.

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作者简介

V. Kopyev

Central Aerohydrodynamic Institute

编辑信件的主要联系方式.
Email: aeroacoustics@tsagi.ru
俄罗斯联邦, Moscow

S. Chernyshev

Central Aerohydrodynamic Institute

Email: aeroacoustics@tsagi.ru
俄罗斯联邦, Moscow

G. Faranosov

Central Aerohydrodynamic Institute

Email: aeroacoustics@tsagi.ru
俄罗斯联邦, Moscow

A. Korobov

MISIS National University of Science and Technology

Email: aeroacoustics@tsagi.ru
俄罗斯联邦, Moscow

参考

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2. Fig. 1. Schematic of the test bench in AK-2 with a 6-microphone array (microphone positions are marked with markers in the photo)

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3. Fig. 2. Experiment with microphone arrays of two radii (microphone positions in the photo are marked with markers)

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4. Fig. 3. Schematic diagram of the experiment with synchronous measurement of the sound field on two microphone arrays

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5. Fig. 4. Schematic of microphones location at the near boundary of the acoustic field (microphone positions in a given plane are marked with circles on the scheme)

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6. Fig. 5. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.10 < St < 1.25, Vjet = 120 m/s: (a) - experiment, (b) - model

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7. Fig. 6. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.07 < St < 0.83, Vjet = 180 m/s: (a) - experiment, (b) - model

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8. Fig. 7. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.05 < St < 0.63, Vjet = 240 m/s: (a) - experiment, (b) - model

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9. Fig. 8. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.04 < St < 0.54, Vjet = 280 m/s: (a) - experiment, (b) - model

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10. Fig. 9. Normalised mutual correlation of azimuthal harmonics

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11. Fig. 10. Mutual correlation rmax for azimuthal harmonics m = 0,1,2, jet velocity Vjet = 120 m/s, frequencies (a) - St = 0.16, (b) - St = 0.27, (c) - St = 0.40, (d) - St = 0.63, (e) - St = 1.03

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12. Fig. 11. Mutual correlation rmax for azimuthal harmonics m = 0,1,2, (a) - Vjet = 100 m/s, St = 0.32, (b) - Vjet = 135 m/s, St = 0.24, (c) - Vjet = 180 m/s, St = 0.18, (d) - Vjet = 240 m/s, St = 0.13

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13. Fig. 12. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.10 < St < 1.25, Vjet = 120 m/s: (a) - experiment, (b) - model

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14. Fig. 13. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.07 < St < 0.83, Vjet = 180 m/s: (a) - experiment, (b) - model

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15. Fig. 14. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.05 < St < 0.63, Vjet = 240 m/s: (a) - experiment, (b) - model

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16. Fig. 15. Azimuthal harmonic directions m = 0,1,2 as a function of the distance from the grating to the nozzle cut-off for different frequencies in the range 0.04 < St < 0.54, Vjet = 280 m/s: (a) - experiment, (b) - model

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17. Fig. 16. Azimuthal harmonic directions as a function of the distance from the grating to the nozzle cut-off, row C1, (a) - St = 0.60, (b) - St = 1.18

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18. Fig. 17. Azimuthal harmonic directions as a function of the distance from the grating to the nozzle cut-off, row C2, (a) - St = 0.41, (b) - St = 0.84

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19. Fig. 18. Azimuthal harmonic directions as a function of the distance from the grating to the nozzle cut-off, row C3, (a) - St = 0.30, (b) - St = 0.60

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