The low frequency sound from multipole sources in axisymmetric shear flows. Part 2

1976 ◽  
Vol 75 (1) ◽  
pp. 17-28 ◽  
Author(s):  
M. E. Goldstein

A previous analysis of the acoustic radiation from multipole sources is extended to include additional components of the dipole and quadrupole sources. It is found that, unlike the components of the sources considered in the previous paper, the exponent of the Doppler factor now depends on the location of the sources within the jet.

1975 ◽  
Vol 70 (3) ◽  
pp. 595-604 ◽  
Author(s):  
M. E. Goldstein

We have obtained a closed-form solution for the sound radiation from multipole sources imbedded in an infinite cylindrical jet with an arbitrary velocity profile. It is valid in the limit where the wavelength is large compared with the jet radius. Simple formulae for the acoustic pressure field due to convected point sources are also obtained. The results show (in a simple way) how the mean flow affects the radiation pattern from the sources. For convected lateral quadrupoles it causes the exponentnof the Doppler factor (1 -Mcosθ)−nmultiplying the far-field pressure signal to be increased from the value of 3 used by Lighthill to 5.


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