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Self-similarity of turbulent jet flows with internal and external intermittency

Published online by Cambridge University Press:  01 June 2021

M. Gauding ,
M. Bode ,
Y. Brahami ,
É. Varea  and
L. Danaila
M. Gauding*
Affiliation:
CORIA – CNRS UMR 6614, 76801Saint Etienne du Rouvray, France
M. Bode
Affiliation:
Institute for Combustion Technology, RWTH Aachen University, Aachen, Germany
Y. Brahami
Affiliation:
CORIA – CNRS UMR 6614, 76801Saint Etienne du Rouvray, France
É. Varea
Affiliation:
CORIA – CNRS UMR 6614, 76801Saint Etienne du Rouvray, France
L. Danaila
Affiliation:
CORIA – CNRS UMR 6614, 76801Saint Etienne du Rouvray, France Normandie University, UNIROUEN, UNICAEN, CNRS, M2C, 76000Rouen, France
*
†Email address for correspondence: [email protected]
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Abstract

The combined effect of internal and external intermittency on the statistical properties of small-scale turbulence is investigated in temporally evolving, planar turbulent jet flows at different Reynolds numbers using highly resolved direct numerical simulations. In turbulent jet flows, the phenomenon of external intermittency originates from a sharp layer, known as the turbulent/non-turbulent interface, that separates the turbulent core from the surrounding irrotational fluid. First, it is shown that low-order and higher-order structure functions in both the core and the shear layer of the jet satisfy complete self-preservation, which means that structure functions are invariant with time and collapse over the entire range of scales, regardless of the set of length and velocity scales used for normalization. Next, the impact of external intermittency on small-scale turbulence is studied along the cross-wise direction by the self-similarity of structure functions. It is shown that structure functions exhibit from the centre toward the edge of the flow a growing departure from self-similarity and the prediction of classical scaling theories. By analysing statistics conditioned on the turbulent portion of the jet, it is demonstrated that this departure is primarily due to external intermittency and the associated similarity-breaking effect.

JFM classification

Turbulent Flows: Intermittency Wakes/Jets: Jets Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 919 , 25 July 2021 , A41
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© The Author(s), 2021. Published by Cambridge University Press

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