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Connecting the time evolution of the turbulence interface to coherent structures

Published online by Cambridge University Press:  24 June 2020

Marius M. Neamtu-Halic Open the ORCID record for Marius M. Neamtu-Halic [Opens in a new window] ,
Dominik Krug Open the ORCID record for Dominik Krug [Opens in a new window] ,
Jean-Paul Mollicone Open the ORCID record for Jean-Paul Mollicone [Opens in a new window] ,
Maarten van Reeuwijk Open the ORCID record for Maarten van Reeuwijk [Opens in a new window] ,
George Haller Open the ORCID record for George Haller [Opens in a new window]  and
Markus Holzner Open the ORCID record for Markus Holzner [Opens in a new window]
Marius M. Neamtu-Halic*
Affiliation:
Institute of Environmental Engineering, ETH Zürich, CH-8039Zürich, Switzerland Swiss Federal Institute of Forest, Snow and Landscape Research WSL, 8903Birmensdorf, Switzerland
Dominik Krug
Affiliation:
Physics of Fluids Group and Twente Max Planck Center, Department of Science and Technology, Mesa+ Institute, and J.M. Burgers Center for Fluid Dynamics, University of Twente, PO Box 217,7500 AEEnschede, The Netherlands
Jean-Paul Mollicone
Affiliation:
Department of Civil and Environmental Engineering, Imperial College London, LondonSW7 2AZ, UK
Maarten van Reeuwijk
Affiliation:
Department of Civil and Environmental Engineering, Imperial College London, LondonSW7 2AZ, UK
George Haller
Affiliation:
Institute of Mechanical Systems, ETH Zürich, 8092Zürich, Switzerland
Markus Holzner
Affiliation:
Swiss Federal Institute of Forest, Snow and Landscape Research WSL, 8903Birmensdorf, Switzerland Swiss Federal Institute of Aquatic Science and Technology Eawag, 8600Dübendorf, Switzerland
*
†Email address for correspondence: [email protected]
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Abstract

The surface area of turbulent/non-turbulent interfaces (TNTIs) is continuously produced and destroyed via stretching and curvature/propagation effects. Here, the mechanisms responsible for TNTI area growth and destruction are investigated in a turbulent flow with and without stable stratification through the time evolution equation of the TNTI area. We show that both terms have broad distributions and may locally contribute to either production or destruction. On average, however, the area growth is driven by stretching, which is approximately balanced by destruction by the curvature/propagation term. To investigate the contribution of different length scales to these processes, we apply spatial filtering to the data. In doing so, we find that the averages of the stretching and the curvature/propagation terms balance out across spatial scales of TNTI wrinkles and this scale-by-scale balance is consistent with an observed scale invariance of the nearby coherent vortices. Through a conditional analysis, we demonstrate that the TNTI area production (destruction) is localized at the front (lee) edge of the vortical structures in the interface proximity. Finally, we show that while basic mechanisms remain the same, increasing stratification reduces the rates at which TNTI surface area is produced as well as destroyed. We provide evidence that this reduction is largely connected to a change in the multiscale geometry of the interface, which tends to flatten in the wall-normal direction at all active length scales of the TNTI.

JFM classification

Geophysical and Geological Flows: Gravity currents Mixing: Turbulent mixing Turbulent Flows: Stratified turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 898 , 10 September 2020 , A3
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Footnotes

‡

This original version of this article was published with some incorrect author information. A notice detailing this has been published and the error rectified in the online PDF and HTML copies.

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