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Internal regulation in compressible turbulent shear layers

Published online by Cambridge University Press:  26 November 2020

K. Matsuno Open the ORCID record for K. Matsuno [Opens in a new window]  and
S. K. Lele
K. Matsuno
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA94305, USA
S. K. Lele*
Affiliation:
Department of Mechanical Engineering, Stanford University, Stanford, CA94305, USA Department of Aeronautics & Astronautics, Stanford University, Stanford, CA94305, USA
*
†Email address for correspondence: [email protected]
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Abstract

High-resolution simulations of temporally evolving mixing layers, for convective Mach numbers ranging from $M_c=0.2$ to $M_c=2.0$ with density ratios $s=1$ and $s=7$, are analysed to characterize compressibility effects on the structure and evolution of turbulence in this compressible flow. Published experimental results are used to validate simulation results. Examination of the turbulence scales in the present data suggests an internal regulation mechanism. Correlated eddying motions were found to be in support of a ‘sonic eddy hypothesis’. Eddy scales in all spatial directions are found to be a progressively smaller fraction of the overall mixing-layer thickness with increasing $M_c$, forming independent layers of eddying motions at high $M_c$. These reduced spatial scales serve to reduce the effective velocity scale for turbulent motions, suppressed Reynolds stresses, turbulent kinetic energy (TKE) production and dissipation, and the mixing-layer thickness growth rate.

JFM classification

Turbulent Flows: Shear layer turbulence Turbulent Flows: Compressible turbulence Turbulent Flows: Turbulence simulation
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 907 , 25 January 2021 , R2
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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