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


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). 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference), Rome, Italy, 21-23 May 2007 USA, American Institute of Aeronautics and Astronautics, 1-28.

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Description/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, k0δ<<1 and k0δ>>1
(k0 = acoustic wavenumber; δ = shear layer thickness). The low-frequency analytic result
matches the numerical prediction quite closely up to k0δ = 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 (k0δ>1) approximations for the
cone of silence region.

Item Type: Book Section
Additional Information: Paper 2007-3592
Related URLs:
Subjects: Q Science > QB Astronomy
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Divisions: University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
ePrint ID: 49466
Date Deposited: 14 Nov 2007
Last Modified: 27 Mar 2014 18:33
Publisher: American Institute of Aeronautics and Astronautics
URI: http://eprints.soton.ac.uk/id/eprint/49466

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