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Early evolution of the compressible mixing layer issued from two turbulent streams

Published online by Cambridge University Press:  15 July 2015

Sergio Pirozzoli ,
Matteo Bernardini ,
Simon Marié  and
Francesco Grasso
Sergio Pirozzoli*
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma ‘La Sapienza’, via Eudossiana 18, 00184 Roma, Italia
Matteo Bernardini
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma ‘La Sapienza’, via Eudossiana 18, 00184 Roma, Italia
Simon Marié
Affiliation:
DynFluid Laboratory, Conservatoire National des Arts et Métiers, 151 blvd de l’Hopital 7013, Paris, France
Francesco Grasso
Affiliation:
DynFluid Laboratory, Conservatoire National des Arts et Métiers, 151 blvd de l’Hopital 7013, Paris, France
*
†Email address for correspondence: sergio.pirozzoli@uniroma1.it
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Abstract

Direct numerical simulation of the spatially developing mixing layer issuing from two turbulent streams past a splitter plate is carried out under mild compressibility conditions. The study mainly focuses on the early evolution of the mixing region, where transition occurs from a wake-like to a canonical mixing-layer-like behaviour, corresponding to the filling-up of the initial momentum deficit. The mixing layer is found to initially grow faster than linearly, and then at a sub-linear rate further downstream. The Reynolds stress components are in close agreement with reference experiments and follow a continued slow decay till the end of the computational domain. These observations are suggestive of the occurrence of incomplete similarity in the developing turbulent mixing layer. Coherent eddies are found to form in the close proximity of the splitter plate trailing edge, that are mainly organized in bands, initially skewed and then parallel to the spanwise direction. Dynamic mode decomposition is used to educe the dynamically relevant features, and it is found to be capable of singling out the coherent eddies responsible for mixing layer development.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Shear layer turbulence Turbulent Flows: Turbulence simulation
Type
Papers
Information
Journal of Fluid Mechanics , Volume 777 , 25 August 2015 , pp. 196 - 218
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Copyright
© 2015 Cambridge University Press 

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