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Production and dissipation of turbulent fluctuations close to a stagnation point

Peter D. Huck1, Nathanaël Machicoane2, and Romain Volk1,*

  • 1Université de Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
  • 2Department of Mechanical Engineering, University of Washington, Seattle, Washington 98195, USA

  • *romain.volk@ens-lyon.fr

Phys. Rev. Fluids 2, 084601 – Published 4 August, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.084601

Abstract

In this article, we investigate the production and dissipation of turbulence in a region where the mean flow topology presents a stagnation point. Our goal is to understand the generation of anisotropic fluctuations and their influence on production, dissipation, and transport of turbulent kinetic energy. In order to investigate the local turbulent kinetic energy budget, we use a shadow particle tracking velocimetry technique (S-PTV) to track Lagrangian tracers in a large portion of a turbulent von Kármán flow produced by counter-rotating disks. We observe that the flow produced in a square tank is bistable, with each of the two states resembling impinging jets. This stagnation-point topology is responsible for the strong anisotropy of velocity fluctuations observed in these type of flows. The production of turbulence locally exceeds the dissipation rate. As a consequence, the flow is to be considered as strongly inhomogeneous as the fluxes of turbulent kinetic energy are non-negligible when compared to the production and dissipation terms.

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