Turbulent plane Couette flow at moderately high Reynolds number

Avsarkisov, Victor; Hoyas, Sergio; Oberlack, Martin; Garcia-Galache, Jose P.

doi:10.1017/jfm.2014.323

Cited by 117 publications

(128 citation statements)

References 21 publications

(51 reference statements)

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“…These features are consistent with the observed behaviour of coherent large-scale motions (see e.g. Pirozzoli et al 2014;Avsarkisov et al 2014, for the most recent DNS results). This similarity is confirmed by the analysis of the flow fields associated to the large-scale coherent steady solutions reported in figure 10.…”

Section: Continuation To Higher Reynolds Numberssupporting

confidence: 90%

On the self-sustained nature of large-scale motions in turbulent Couette flow

et al. 2015

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Large-scale motions in wall-bounded turbulent flows are frequently interpreted as resulting from an aggregation process of smaller-scale structures. Here, we explore the alternative possibility that such large-scale motions are themselves self-sustained and do not draw their energy from smaller-scale turbulent motions activated in buffer layers. To this end, it is first shown that large-scale motions in turbulent Couette flow at Re = 2150 self-sustain even when active processes at smaller scales are artificially quenched by increasing the Smagorinsky constant C s in large eddy simulations. These results are in agreement with earlier results on pressure driven turbulent channels. We further investigate the nature of the large-scale coherent motions by computing upper and lower-branch nonlinear steady solutions of the filtered (LES) equations with a Newton-Krylov solver, and find that they are connected by a saddle-node bifurcation at large values of C s . Upper branch solutions for the filtered large scale motions are computed for Reynolds numbers up to Re = 2187 using specific paths in the Re − C s parameter plane and compared to large-scale coherent motions. Continuation to C s = 0 reveals that these large-scale steady solutions of the filtered equations are connected to the Nagata-CleverBusse-Waleffe branch of steady solutions of the Navier-Stokes equations. In contrast, we find it impossible to connect the latter to buffer layer motions through a continuation to higher Reynolds numbers in minimal flow units.

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Section: Continuation To Higher Reynolds Numberssupporting

confidence: 90%

On the self-sustained nature of large-scale motions in turbulent Couette flow

et al. 2015

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“…We define the viscous length as δ ν = η/(u τ ρ W ). The viscous length is analogous to the Debye length, and gives us an estimate of the minimum length scale for momentum structures, below which they are smeared out by viscosity; near-wall structures are of minimum size ∼ 10δ ν [35]. The ratio …”

Section: Methodsmentioning

confidence: 99%

Controlling turbulent drag across electrolytes using electric fields

Ostilla–Mónico

Lee

2017

Faraday Discuss.

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Reversible in operando control of friction is an unsolved challenge crucial to industrial tribology. Recent studies show that at low sliding velocities, this control can be achieved by applying an electric field across electrolyte lubricants. However, the phenomenology at high sliding velocities is yet unknown. In this paper, we investigate the hydrodynamic friction across electrolytes under shear beyond the transition to turbulence. We develop a novel, highly parallelised, numerical method for solving the coupled Navier-Stokes Poisson-Nernest-Planck equation. Our results show that turbulent drag cannot be controlled across dilute electrolyte using static electric fields alone. The limitations of the Poisson-Nernst-Planck formalism hints at ways in which turbulent drag could be controlled using electric fields.

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“…We also note that the azimuthal decorrelation lengths are an order of magnitude smaller than those seen in plane Couette flow [184]; which have allowed TC simulations to reach higher Re τ with heavily reduced computational costs. Current state-of-the art plane Couette simulations "only" reach Re τ = 550 while requiring 2.2 billion points [185].…”

Section: Results and Analysismentioning

confidence: 99%

“…DNS of PC requires much larger computational boxes than that of channels, a factor 10 in both spanwise and streamwise directions. This meant that only this year Re τ = 550 was achieved by Avsarkisov et al [185] and more recently Re τ ≈ 1000 by Pirozolli et al [186]. An alternative to having two independently moving parallel plates is having two independently rotating coaxial cylinders.…”

Section: Introductionmentioning

confidence: 99%

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Highly turbulent Taylor-Couette flow : direct numerical simulations

Ostilla–Mónico¹

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Turbulent plane Couette flow at moderately high Reynolds number

Abstract: Under consideration for publication in J. Fluid Mech. 1Turbulent Plane Couette flow at moderately high Reynolds number

Cited by 117 publications

References 21 publications

On the self-sustained nature of large-scale motions in turbulent Couette flow

On the self-sustained nature of large-scale motions in turbulent Couette flow

Controlling turbulent drag across electrolytes using electric fields

Highly turbulent Taylor-Couette flow : direct numerical simulations

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