4.7 Article

Shear stress-driven flow: the state space of near-wall turbulence as Reτ → ∞

Journal

JOURNAL OF FLUID MECHANICS
Volume 874, Issue -, Pages 606-638

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2019.472

Keywords

Turbulent flows; nonlinear dynamical systems

Funding

  1. EPSRC [EP/N019342/1, EP/N032861/1] Funding Source: UKRI

Ask authors/readers for more resources

An inner-scaled, shear stress-driven flow is considered as a model of independent near-wall turbulence as the friction Reynolds number Re-tau -> infinity. In this limit, the model is applicable to the near-wall region and the lower part of the logarithmic layer of various parallel shear flows, including turbulent Couette flow, Poiseuille flow and Hagen-Poiseuille flow. The model is validated against damped Couette flow and there is excellent agreement between the velocity statistics and spectra for the wall-normal height y(+) < 40. A near-wall flow domain of similar size to the minimal unit is analysed from a dynamical systems perspective. The edge and fifteen invariant solutions are computed, the first discovered for this flow configuration. Through continuation in the spanwise width L-z(+), the bifurcation behaviour of the solutions over the domain size is investigated. The physical properties of the solutions are explored through phase portraits, including the energy input and dissipation plane, and streak, roll and wave energy space. Finally, a Reynolds number is defined in outer units and the high-Re asymptotic behaviour of the equilibria is studied. Three lower branch solutions are found to scale consistently with vortex-wave interaction (VWI) theory, with wave forcing localising around the critical layer.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available