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An investigation of the mechanisms of sound generation in initially laminar subsonic jets using the Goldstein acoustic analogy

Published online by Cambridge University Press:  02 January 2013

Sergey Karabasov
Affiliation:
Whittle Laboratory, Department of Engineering, University of Cambridge, Cambridge CB3 0DY, UK
Christophe Bogey
Affiliation:
Laboratoire de Mécanique des Fluides et d’Acoustique, UMR CNRS 5509, Ecole Centrale de Lyon, Université de Lyon, 69134 Ecully, France
Tom Hynes
Affiliation:
Whittle Laboratory, Department of Engineering, University of Cambridge, Cambridge CB3 0DY, UK

Abstract

The details of the sound sources within two initially laminar subsonic jets corresponding to different inflow conditions, one fully laminar and the other with nozzle boundary layer forcing, are studied using the Goldstein acoustic analogy. The statistics of the acoustic analogy equivalent sources are generated from large eddy simulations (LES) and issues associated with the range of validity of these are explored. The predicted comparative importance of various source terms confirms the results of previous studies, with the exception of one extra term that involves the longitudinal and the lateral source components. Agreement within 1 dB over the frequency range from Strouhal number $\mathit{St}= 0. 8$ to $\mathit{St}= 6$, which was shown to best correspond to the validity range of the acoustic source model for the LES data available, is found between noise predictions using the acoustic analogy model and those of a previously conducted LES–ILEE (isotropic linearized Euler equation) control surface method for the nominally laminar inflow jet case. The acoustic analogy is used to determine the source length scales which contribute to noise at different radiated angles to the jet, how they are distributed and how they change with change of inflow conditions. For the vortex pairing frequency, using a new acoustic source decomposition technique based on the correlation length scale, two types of noise sources are found. One source, which corresponds to the peak source amplitude, is located at the upstream end of the jet and is associated with the vortex pairing. The other one, which is the dominant source, is associated with jet mixing at the end of the jet potential core. It is also shown that boundary layer forcing leads to a reduction in the contribution to the noise of the large source length scales in comparison with the fully laminar case.

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Papers
Copyright
©2013 Cambridge University Press

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