Abstract

Abstract

Highlights

  • Near-wall turbulence is sustained by the so-called self-sustaining process (SSP); that is, streamwise vortices induce low- and high-speed streaks by the advection of the 911 A27-1Y

  • This gives us a clear view to understand what happens in the real space, when we quantitatively investigate the vortex stretching (§ 3.2) and energy transfer (§ 3.3) among structures in different scales

  • To reveal the hierarchy of coherent structures of turbulent channel flow and to understand its sustaining mechanism, we have analysed the database of the fully developed turbulence at Reτ = 4179 provided by Lozano-Durán & Jiménez (2014)

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Summary

Introduction

Near-wall turbulence is sustained by the so-called self-sustaining process (SSP); that is, streamwise vortices induce low- and high-speed streaks by the advection of the 911 A27-1Y. Near-wall turbulence is sustained by the so-called self-sustaining process (SSP); that is, streamwise vortices induce low- and high-speed streaks by the advection of the 911 A27-1. The yellow objects in figure 1 are the positive isosurfaces of the second invariant Q of the velocity gradient tensor in turbulent channel flow at the friction Reynolds number Reτ = uτ h/ν = 4179 (see § 2.1 for the details of the database). The quantities related to the velocity are appropriate for extracting the largest-scale structures, whereas those related to its gradients are appropriate for extracting the smallest-scale structures. This is the reason why the velocity has been often used for investigating large-scale motions (LSM). Since one can extract the large-scale structures by visualizing LSM and/or VLSM with the velocity (or the filtered velocity), many authors (e.g. Adrian 2007; Hutchins & Marusic 2007; Monty et al 2007; Dennis & Nickels 2011a,b; Baltzer, Adrian & Wu 2013; Lee et al 2014; Lee, Sung & Zaki 2017; Kevin, Monty & Hutchins 2019b) examined large-scale streaky velocity structures and their relation to large-scale vortices

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