# Ultimate turbulent Taylor-Couette flow.

@article{Huisman2012UltimateTT, title={Ultimate turbulent Taylor-Couette flow.}, author={Sander G. Huisman and Dennis P M van Gils and S. K. Grossmann and Chao Sun and Detlef Lohse}, journal={Physical review letters}, year={2012}, volume={108 2}, pages={ 024501 } }

The flow structure of strongly turbulent Taylor-Couette flow with Reynolds numbers up to Re(i)=2×10(6) of the inner cylinder is experimentally examined with high-speed particle image velocimetry (PIV). The wind Reynolds numbers Re(w) of the turbulent Taylor-vortex flow is found to scale as Re(w)∝Ta(1/2), exactly as predicted by Grossmann and Lohse [Phys. Fluids 23, 045108 (2011).] for the ultimate turbulence regime, in which the boundary layers are turbulent. The dimensionless angular velocity…

## 68 Citations

Statistics of turbulent fluctuations in counter-rotating Taylor-Couette flows.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

The statistics of velocity fluctuations of turbulent Taylor-Couette flow are examined and the longitudinal structure function exponents are extracted and are found to weakly depend on the ratio of the rotation rates.

High-Reynolds number Taylor-Couette turbulence.

- Physics
- 2016

Taylor-Couette flow, the flow between two coaxial co- or counter-rotating cylinders, is one of the paradigmatic systems in the physics of fluids. The (dimensionless) control parameters are the…

Logarithmic boundary layers in strong Taylor-Couette turbulence.

- PhysicsPhysical review letters
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The variance profiles of the local azimuthal velocity have a universal peak around y+≈12 and collapse when rescaled with the driving velocity, displaying a log dependence of y+ as also found for channel and pipe flows.

Velocity profiles in strongly turbulent Taylor-Couette flow

- Physics
- 2014

We derive the velocity profiles in strongly turbulent Taylor-Couette flow for the general case of independently rotating cylinders. The theory is based on the Navier-Stokes equations in the…

Statistics, plumes and azimuthally travelling waves in ultimate Taylor–Couette turbulent vortices

- PhysicsJournal of Fluid Mechanics
- 2019

In this paper, we experimentally study the influence of large-scale Taylor rolls on the small-scale statistics and the flow organization in fully turbulent Taylor–Couette flow for Reynolds numbers up…

Multiple states in highly turbulent Taylor-Couette flow.

- PhysicsNature communications
- 2014

This result verifies the notion that bifurcations can occur in high-dimensional flows (that is, very large Re) and questions Kolmogorov's paradigm.

Mutual coherent structures for heat and angular momentum transport in turbulent Taylor-Couette flows

- PhysicsPhysical Review Fluids
- 2022

In this study we report numerical results of turbulent transport of heatNu and angular momentum νt/ν in Taylor-Couette (TC) flows subjected to a radial temperature gradient. Direct numerical…

Large-eddy simulation and modeling of Taylor-Couette flow with an outer stationary cylinder

- Physics
- 2019

We present wall-resolved large-eddy simulations (LES) of the incompressible NavierStokes equations together with empirical modeling for turbulent Taylor-Couette (TC) flow where the inner cylinder is…

Boundary layer dynamics at the transition between the classical and the ultimate regime of Taylor-Couette flow

- Physics, Engineering
- 2014

Direct numerical simulations of turbulent Taylor-Couette flow are performed up to inner cylinder Reynolds numbers of Re i = 105 for a radius ratio of η = r i /r o = 0.714 between the inner and outer…

Velocity profiles, flow structures and scalings in a wide-gap turbulent Taylor–Couette flow

- PhysicsJournal of Fluid Mechanics
- 2017

Fully turbulent Taylor–Couette flow between independently rotating cylinders is investigated experimentally in a wide-gap configuration ( $\unicode[STIX]{x1D702}=0.5$ ) around the maximum transport…

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