Large-Scale Coherent Structures in Free Turbulent Flows and Their Aerodynamic Sound

  • J. T. C. Liu

Abstract

Observed physical features of large-scale coherent structures in free shear flows are first interpreted from a point of view that involves the results from conservation principles, including, for instance, the role of fluctuating disturbances on the spreading rate, mode-mode interactions, the growth and decay of coherent structures and their negative production rate and energy exchanges between the various scales of motion. This sets the stage for discussing the large-scale coherent structures as a source of aerodynamic sound in turbulent jets. The aerodynamic sound is worked out from Lighthill’s formulation and it is found that the lower frequency sound, which comes from lower frequency coherent structures that peak further downstream, radiates preferentially nearer the jet axis; the peak radiation moves away from the jet axis as the frequency increases with the higher frequency contributions coming from coherent structures that peak in regions nearer the nozzle lip; the peak frequency near the jet axis being independent of the jet velocity. These striking resemblances with observations are a direct consequence of Lighthill’s formulation of the aerodynamic sound problem, being brought about by taking into account as sources the spectrally-dependent growing and decaying large-scale coherent structures in a real turbulent jet.

Keywords

Combustion Vortex Advection Compressibility Boulder 

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Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • J. T. C. Liu
    • 1
  1. 1.Brown UniversityProvidenceUSA

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