Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-20T13:18:59.417Z Has data issue: false hasContentIssue false

The excess noise field of subsonic jets

Published online by Cambridge University Press:  29 March 2006

D. G. Crighton
Affiliation:
Department of Mathematics, Imperial College, London

Abstract

The sound field generated by the interaction of spatial instabilities on the shear layer shed from a duct with the nozzle lip is studied. It is shown that the intensity varies with direction θ from the exhaust and with the subsonic exhaust speed U according to IU6(1 − cosθ)2 and IU6 sin2 θ for the axisymmetric and first azimuthal (sinuous) modes respectively. The first of these results is interpreted in terms of monopole and dipole sources at the exit plane, representing the acoustic effect of fluctuating mass flow and axial thrust across the exit plane, and the second in terms of a transverse dipole at the exit plane, corresponding to fluctuations in cross-stream thrust. A correlated thrust fluctuation of 1% is shown to overwhelm the jet mixing noise in the forward arc, θ > 90° while the acoustic efficiency of the interaction process is never less than 10−6M3 even under the cleanest possible exit conditions. Forward flight of the duct a t Mach number Mα is shown to increase the forward-arc intensity by the factor (1 + Mα cos θ)−4. It is suggested that much of the discrepancy between the noise fields of real engines and the predictions of Lighthill's theory of jet mixing noise – the so-called ‘excess noise’ problem – can be explained in terms of this interaction mechanism.

Type
Research Article
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. & Gill, A. E. 1962 J. Fluid Mech. 14, 529.
Crighton, D. G. 1972 In Aero Res. Counc. Current Paper, no. 1195, chap. 3. (See also Proc. Roy. Soc. A 330, 185 (1972).)
Crow, S. C. & Champagne, F. H. 1971 J. Fluid Mech. 48, 547.
Ffowcs Williams, J. E. 1963 Phil. Trans. A 255, 469.
Ffowcs Williams, J. E. 1968 AFOSR-UTIAS Symposium on Aerodynamic Noise, Toronto.
Ffowcs Williams, J. E. & Gordon, C. G. 1965 A.I.A.A. J., 3, 791.
Ffowcs Williams, J. E., Leppington, F. G., Crighton, D. G. & Levine, H. 1972 Aero. Res. Counc. Current Paper, no. 1195.
Lighthill, M. J. 1952 Proc. Roy. Soc. A 211, 564.
Lighthill, M. J. 1954 Proc. Roy. Soc. A 222, 1.
Lighthill, M. J. 1962 Proc. Roy. Soc. A 267, 147.
Lighthill, M. J. 1963 A.I.A.A. J. 1, 1507.
Noble, B. 1958 Methods Based on the Wiener-Hopf Technique. Pergamon.
Orszag, S. A. & Crow, S. C. 1970 Studies in Appl. Math. 49, 167.