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Causality of energy-containing eddies in wall turbulence

Published online by Cambridge University Press:  06 November 2019

Adrián Lozano-Durán Open the ORCID record for Adrián Lozano-Durán [Opens in a new window] ,
H. Jane Bae Open the ORCID record for H. Jane Bae [Opens in a new window]  and
Miguel P. Encinar Open the ORCID record for Miguel P. Encinar [Opens in a new window]
Adrián Lozano-Durán*
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305, USA
H. Jane Bae
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305, USA Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, CA 91125, USA
Miguel P. Encinar
Affiliation:
School of Aeronautics, Universidad Politécnica de Madrid, Madrid 28040, Spain
*
†Email address for correspondence: [email protected]
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Abstract

Turbulent flows in the presence of walls may be apprehended as a collection of momentum- and energy-containing eddies (energy-eddies), whose sizes differ by many orders of magnitude. These eddies follow a self-sustaining cycle, i.e. existing eddies are seeds for the inception of new ones, and so forth. Understanding this process is critical for the modelling and control of geophysical and industrial flows, in which a non-negligible fraction of the energy is dissipated by turbulence in the immediate vicinity of walls. In this study, we examine the causal interactions of energy-eddies in wall-bounded turbulence by quantifying how the knowledge of the past states of eddies reduces the uncertainty of their future states. The analysis is performed via direct numerical simulation of turbulent channel flows in which time-resolved energy-eddies are isolated at a prescribed scale. Our approach unveils, in a simple manner, that causality of energy-eddies in the buffer and logarithmic layers is similar and independent of the eddy size. We further show an example of how novel flow control and modelling strategies can take advantage of such self-similar causality.

JFM classification

Turbulent Flows: Turbulence theory Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 882 , 10 January 2020 , A2
Copyright
© 2019 Cambridge University Press 

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