Extreme-scale motions in turbulent plane Couette flows

Abstract

We study the size of large-scale motions in turbulent plane Couette flows at moderate Reynolds number up to $R{e}_{\tau }$ = 500. Direct numerical simulation domains were as large as $100\pi \delta \times 2\delta \times 5\pi \delta$, where $\delta$ is half the distance between the walls. The results indicate that there are structures with streamwise extent, as measured by the wavelength, as long as 78$\delta$ and at least 310$\delta$ at $R{e}_{\tau }$ = 220 and 500, respectively. The presence of these very long structures is apparent in the spectra of all three velocity components and the Reynolds stress. In DNS using a smaller domain, the large structures are constrained, eliminating the streamwise variations present in the larger domain. Effects of a smaller domain are also present in the mean velocity and the streamwise velocity variance in the outer flow.

Accepted manuscript in the Journal of Fluid Mechanics

References in corpus (4)

• Direct numerical simulation of turbulent channel flow up to $R{e}_{\tau }\approx 5200$
• Computational Study of Turbulent-Laminar Patterns in Couette Flow
• Large scale flows in transitional plane Couette flow: a key ingredient of the spot growth mechanism
• Turbulent-laminar patterns in shear flows without walls

Cited by in corpus (23)

• Flow organization and heat transfer in turbulent wall sheared thermal convection
• Coherence of temperature and velocity superstructures in turbulent Rayleigh-Bénard flow
• Forcing statistics in resolvent analysis: application in minimal turbulent Couette flow
• The effect of Prandtl number on turbulent sheared thermal convection
• Reynolds stress scaling in the near-wall region of wall-bounded flows
• Scaling turbulence in the near-wall region
• Reynolds stress scaling in the near-wall region
• Scale interactions in turbulent plane Couette flows in minimal domains
• Dynamics and evolution of Turbulent Taylor rolls
• Streamwise-constant large-scale structures in Couette and Poiseuille flows
• The late start of the mean velocity overlap layer at $y^{+}=\mathcal{O}(10^3)$ -- A generic feature of ducted turbulent flows
• Ascending-descending and direct-inverse cascades of Reynolds stresses in turbulent Couette flow
• Global energy budgets in turbulent Couette and Poiseuille flows
• Dynamics of particle-laden turbulent Couette flow. Part1: Turbulence modulation by inertial particles
• Patterns in transitional shear turbulence. Part 1. Energy transfer and mean-flow interaction
• Spectral analysis on dissimilarity between turbulent momentum and heat transfers in plane Couette turbulence
• Chaos, coherence and turbulence
• Convolutional Neural Network Models and Interpretability for the Anisotropic Reynolds Stress Tensor in Turbulent One-dimensional Flows
• The large-scale footprint in small-scale Rayleigh-Bénard turbulence
• Turbulence suppression in plane Couette flow using reduced-order models
• A self-sustaining process theory for uniform momentum zones and internal shear layers in high Reynolds number shear flows
• On the wall-normal velocity variance in canonical wall-bounded turbulence
• Excitation and Damping of Oscillation Modes in Gaseous Planets