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High-frequency wavepackets in turbulent jets

Published online by Cambridge University Press:  29 September 2017

Kenzo Sasaki Open the ORCID record for Kenzo Sasaki [Opens in a new window] ,
André V. G. Cavalieri ,
Peter Jordan ,
Oliver T. Schmidt Open the ORCID record for Oliver T. Schmidt [Opens in a new window] ,
Tim Colonius  and
Guillaume A. Brès Open the ORCID record for Guillaume A. Brès [Opens in a new window]
Kenzo Sasaki*
Affiliation:
Aerodynamics Department, Instituto Tecnológico de Aeronáutica, São José dos Campos 12228900, Brazil
André V. G. Cavalieri
Affiliation:
Aerodynamics Department, Instituto Tecnológico de Aeronáutica, São José dos Campos 12228900, Brazil
Peter Jordan
Affiliation:
Département Fluides, Thermique et Combustion, Institut Pprime, 86036 Poitiers, France
Oliver T. Schmidt
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
Tim Colonius
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
Guillaume A. Brès
Affiliation:
Cascade Technologies Inc., Palo Alto, CA 94303, USA
*
†Email address for correspondence: kenzo@ita.br
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Abstract

Wavepackets obtained as solutions of the flow equations linearised around the mean flow have been shown in recent work to yield good agreement, in terms of amplitude and phase, with those educed from turbulent jets. Compelling agreement has been demonstrated, for the axisymmetric and first helical mode, up to Strouhal numbers close to unity. We here extend the range of validity of wavepacket models to Strouhal number $St=4.0$ and azimuthal wavenumber $m=4$ by comparing solutions of the parabolised stability equations with a well-validated large-eddy simulation of a Mach 0.9 turbulent jet. The results show that the near-nozzle dynamics can be correctly described by the homogeneous linear model, the initial growth rates being accurately predicted for the entire range of frequencies and azimuthal wavenumbers considered. Similarly to the lower-frequency wavepackets reported prior to this work, the high-frequency linear waves deviate from the data downstream of their stabilisation locations, which move progressively upstream as the frequency increases.

JFM classification

Acoustics: Acoustics Acoustics: Aeroacoustics Acoustics: Jet noise
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 830 , 10 November 2017 , R2
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Copyright
© 2017 Cambridge University Press 

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