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Free-stream coherent structures in a planar jet

Published online by Cambridge University Press:  05 January 2018

Kengo Deguchi Open the ORCID record for Kengo Deguchi [Opens in a new window]  and
Philip Hall
Kengo Deguchi*
Affiliation:
School of Mathematical Sciences, Monash University, Victoria 3800, Australia
Philip Hall
Affiliation:
School of Mathematical Sciences, Monash University, Victoria 3800, Australia Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
*
†Email address for correspondence: kengo.deguchi@monash.edu
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Abstract

The free-stream coherent structure theory developed by Deguchi & Hall (J. Fluid Mech., vol. 752, 2014, pp. 602–625), valid in the large-Reynolds-number asymptotic limit, is extended and applied to jet flows. It is shown that a nonlinear exact coherent structure can be supported at the edge of the jet, and the structure induces a much bigger streaky flow in the centre of the jet. The lambda-shaped vortices that characterise the coherent structure are qualitatively consistent with those seen in experimental observations. Here a planar incompressible jet is investigated for the sake of simplicity, but the structure we describe could be used as a basis of more complex theories for incompressible and compressible jets of practical importance.

JFM classification

Aerodynamics: Aerodynamics Aerodynamics: High-speed flow Instability: Nonlinear instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 837 , 25 February 2018 , pp. 916 - 930
Copyright
© 2018 Cambridge University Press 

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