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Upstream-travelling acoustic jet modes as a closure mechanism for screech

Published online by Cambridge University Press:  20 September 2018

Daniel Edgington-Mitchell*
Affiliation:
Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia
Vincent Jaunet
Affiliation:
Département Fluides, Thermique et Combustion, Institut Pprime, CNRS, Université de Poitiers, ENSMA, 86000 Poitiers, France
Peter Jordan
Affiliation:
Département Fluides, Thermique et Combustion, Institut Pprime, CNRS, Université de Poitiers, ENSMA, 86000 Poitiers, France
Aaron Towne
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305, USA
Julio Soria
Affiliation:
Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia
Damon Honnery
Affiliation:
Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia
*
Email address for correspondence: [email protected]

Abstract

Experimental evidence is provided to demonstrate that the upstream-travelling waves in two jets screeching in the A1 and A2 modes are not free-stream acoustic waves, but rather waves with support within the jet. Proper orthogonal decomposition is used to educe the coherent fluctuations associated with jet screech from a set of randomly sampled velocity fields. A streamwise Fourier transform is then used to isolate components with positive and negative phase speeds. The component with negative phase speed is shown, by comparison with a vortex-sheet model, to resemble the upstream-travelling jet wave first studied by Tam & Hu (J. Fluid Mech., vol. 201, 1989, pp. 447–483). It is further demonstrated that screech tones are only observed over the frequency range where this upstream-travelling wave is propagative.

Type
JFM Rapids
Copyright
© 2018 Cambridge University Press 

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Edgington-Mitchell Supplementary Movie 1

Phase reconstruction of screeching jet at NPR = 2.10 decomposed into components with positive and negative phase velocity.

Download Edgington-Mitchell Supplementary Movie 1(Video)
Video 11 MB

Edgington-Mitchell Supplementary Movie 2

Phase reconstruction of screeching jet at NPR = 2.25 decomposed into components with positive and negative phase velocity.

Download Edgington-Mitchell Supplementary Movie 2(Video)
Video 10.8 MB