Coherent structures, uniform momentum zones and the streamwise energy spectrum in wall-bounded turbulent flows

Theresa Saxton-Fox, Beverley J. McKeon

Research output: Contribution to journalArticle

Abstract

Large-scale motions (LSMs) in wall-bounded turbulent flows have well-characterised instantaneous structural features (Kovasznay et al., J. Fluid Mech., vol. 41 (2), 1970, pp. 283-325; Meinhart & Adrian, Phys. Fluids, vol. 7 (4), 1995, pp. 694-696) and a known spectral signature (Monty et al., J. Fluid Mech., vol. 632, 2009, pp. 431-442). This work aims to connect these previous observations through the development and analysis of a representative model for LSMs. The model is constructed to be consistent with the streamwise energy spectrum (Monty et al. 2009) and amplification characteristics of the Navier-Stokes equations (McKeon & Sharma, J. Fluid Mech., vol. 658, 2010, pp. 336-382), and is found to naturally recreate characteristics of instantaneous turbulent structures, including a bulge shape (Kovasznay et al. 1970) and the presence of uniform momentum zones (Meinhart & Adrian 1995) in the streamwise velocity field. The observed structural similarity between the LSM representative model and instantaneous experimental data supports the use of travelling wave models to connect statistical and instantaneous descriptions of coherent structures, and clarifies a simple general equivalency between symmetry in a Reynolds-decomposed velocity field and asymmetry in the laboratory frame.

Original languageEnglish (US)
Article numberR6
JournalJournal of Fluid Mechanics
Volume826
DOIs
StatePublished - Sep 10 2017
Externally publishedYes

Keywords

  • turbulence modelling
  • turbulent boundary layers
  • turbulent flows

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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