Nonequilibrium Scaling of the Turbulent-Nonturbulent Interface Speed in Planar Jets

Gioacchino Cafiero and J. Christos Vassilicos
Phys. Rev. Lett. 125, 174501 – Published 19 October 2020

Abstract

The length scale which, combined with the fluid’s kinematic viscosity ν, defines the local average speed of the turbulent-nonturbulent interface has been postulated to be the smallest (Kolmogorov) length scale η of the turbulence Corrsin and Kistler, [NACA Report No. 1244, 1955, p. 1033.]. This is indeed the case when the turbulence dissipation rate obeys the Kolmogorov equilibrium cascade scaling, but in the presence of the nonequilibrium turbulence dissipation scaling the average local turbulent-nonturbulent interface speed scales as ν/λ, instead of ν/η, where λ is the Taylor length. We derive this theoretically and confirm it experimentally in the range of distances between 20 and 50 nozzle widths of a turbulent planar jet.

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  • Received 2 June 2020
  • Accepted 7 September 2020
  • Corrected 18 November 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.174501

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Corrections

18 November 2020

Correction: A citation for the website of a supporting project and a statement pertaining to an individual contribution were missing from the Acknowledgments section and have been added. A corresponding reference for the website has been inserted in the reference section.

Authors & Affiliations

Gioacchino Cafiero1,* and J. Christos Vassilicos2,†

  • 1Centre for Aerodynamics and Environmental Flow, Department of Mechanical Engineering Sciences, University of Surrey, GU2 7HX Guildford, United Kingdom
  • 2Université Lille, CNRS, ONERA, Arts et Metiers Institute of Technology, Centrale Lille, UMR 9014—LMFL—Laboratoire de Mécanique des fluides de Lille–Kampé de Feriet, F-59000 Lille, France

  • *g.cafiero@surrey.ac.uk
  • john-christos.vassilicos@centralelille.fr

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Issue

Vol. 125, Iss. 17 — 23 October 2020

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