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Numerical and asymptotic Lilley equation solutions for the Goldstein jet-noise source model

Numerical and asymptotic Lilley equation solutions for the Goldstein jet-noise source model
Numerical and asymptotic Lilley equation solutions for the Goldstein jet-noise source model
Far-field sound radiation from model sources in a jet shear layer has been calculated numerically using the stationary phase approximation. The jet column is modeled as an axisymmetric parallel shear flow, so jet spreading is neglected. For this simplified model, analytical predictions are provided in the low and high frequency limits, k0?<<1 and k0?>>1 (k0 = acoustic wavenumber; ? = shear layer thickness). The low-frequency analytic result matches the numerical prediction quite closely up to k0? = 1; it accounts quantitatively for the observed strong scattering of quadrupole radiation by the mean velocity and density profiles in the jet. Further work is required to establish bounds of validity for the stationaryphase approximation, and to assess available high-frequency (k0?>1) approximations for the cone of silence region.
1-28
American Institute of Aeronautics and Astronautics
Morfey, C.L.
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Tester, B.J.
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Powles, C.J.
7566be27-f1fe-4ea0-aca3-3aef19cb72de
Morfey, C.L.
d5f9a8d0-7d8a-4915-a522-bf49dee111f2
Tester, B.J.
1bd4a793-131b-4173-93cc-3eca70b2d116
Powles, C.J.
7566be27-f1fe-4ea0-aca3-3aef19cb72de

Morfey, C.L., Tester, B.J. and Powles, C.J. (2007) Numerical and asymptotic Lilley equation solutions for the Goldstein jet-noise source model. In Proceedings of the 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). American Institute of Aeronautics and Astronautics. pp. 1-28 .

Record type: Conference or Workshop Item (Paper)

Abstract

Far-field sound radiation from model sources in a jet shear layer has been calculated numerically using the stationary phase approximation. The jet column is modeled as an axisymmetric parallel shear flow, so jet spreading is neglected. For this simplified model, analytical predictions are provided in the low and high frequency limits, k0?<<1 and k0?>>1 (k0 = acoustic wavenumber; ? = shear layer thickness). The low-frequency analytic result matches the numerical prediction quite closely up to k0? = 1; it accounts quantitatively for the observed strong scattering of quadrupole radiation by the mean velocity and density profiles in the jet. Further work is required to establish bounds of validity for the stationaryphase approximation, and to assess available high-frequency (k0?>1) approximations for the cone of silence region.

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More information

Published date: 2007
Additional Information: Paper 2007-3592
Venue - Dates: 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference), Rome, Italy, 21-23 May 2007, 2007-05-20 - 2007-05-22

Identifiers

Local EPrints ID: 49466
URI: http://eprints.soton.ac.uk/id/eprint/49466
PURE UUID: 5d5aa4b1-4708-41c4-999e-01e7a1c9b009

Catalogue record

Date deposited: 14 Nov 2007
Last modified: 08 Jan 2022 01:10

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Contributors

Author: C.L. Morfey
Author: B.J. Tester
Author: C.J. Powles

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