# Azimuthal velocity profiles in Rayleigh-stable Taylor–Couette flow and implied axial angular momentum transport

@article{Nordsiek2014AzimuthalVP, title={Azimuthal velocity profiles in Rayleigh-stable Taylor–Couette flow and implied axial angular momentum transport}, author={Freja Nordsiek and Sander G. Huisman and Roeland C. A. van der Veen and Chao Sun and Detlef Lohse and Daniel P. Lathrop}, journal={Journal of Fluid Mechanics}, year={2014}, volume={774}, pages={342 - 362} }

We present azimuthal velocity profiles measured in a Taylor–Couette apparatus, which has been used as a model of stellar and planetary accretion disks. The apparatus has a cylinder radius ratio of ${\it\eta}=0.716$ , an aspect ratio of ${\it\Gamma}=11.74$ , and the plates closing the cylinders in the axial direction are attached to the outer cylinder. We investigate angular momentum transport and Ekman pumping in the Rayleigh-stable regime. This regime is linearly stable and is characterized by…

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## References

SHOWING 1-10 OF 41 REFERENCES

### Optimal Taylor–Couette turbulence

- PhysicsJournal of Fluid Mechanics
- 2012

Abstract Strongly turbulent Taylor–Couette flow with independently rotating inner and outer cylinders with a radius ratio of $\eta = 0. 716$ is experimentally studied. From global torque…

### Transition to shear-driven turbulence in Couette-Taylor flow.

- Engineering, PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

High-precision torque measurements reveal no Reynolds-number range with a fixed power law, andFlow quantities such as the axial turbulent diffusivity, the time scales asociated with the fluctuations of the wall shear stress, and the root-mean-square fluctuations ofthe wall sheer stress and its time derivative are all shown to be simply related to the global torque measurements.

### Angular momentum transport and turbulence in laboratory models of Keplerian flows

- Physics
- 2012

We present angular momentum transport (torque) measurements in two recent experimental studies of the turbulent flow between independently rotating cylinders. In addition to these studies, we…

### Transient growth in linearly stable Taylor–Couette flows

- PhysicsJournal of Fluid Mechanics
- 2014

Abstract Non-normal transient growth of disturbances is considered as an essential prerequisite for subcritical transition in shear flows, i.e. transition to turbulence despite linear stability of…

### Stability of quasi-Keplerian shear flow in a laboratory experiment

- Physics
- 2012

Subcritical transition to turbulence has been proposed as a source of turbulent viscosity required for the associated angular momentum transport for fast accretion in Keplerian disks. Previously…

### Torque scaling in turbulent Taylor–Couette flow between independently rotating cylinders

- PhysicsJournal of Fluid Mechanics
- 2007

Turbulent Taylor–Couette flow with arbitrary rotation frequencies ω1, ω2 of the two coaxial cylinders with radii r1 < r2 is analysed theoretically. The current Jω of the angular velocity ω(x,t) =…

### Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks

- PhysicsNature
- 2006

A laboratory experiment is reported, demonstrating that non-magnetic quasi-keplerian flows at Reynolds numbers up to millions are essentially steady, indirectly support the magnetorotational instability as the likely cause of turbulence, even in cool disks.

### Angular momentum transport in turbulent flow between independently rotating cylinders.

- PhysicsPhysical review letters
- 2011

It is found that the Rossby number Ro = (Ω1 - Ω2)/Ω2 fully determines the state and torque G as compared to G(Ro = ∞) ≡ G∞, which is a linear function of Ro(-1) in four sections of the parameter space.

### Logarithmic boundary layers in strong Taylor-Couette turbulence.

- PhysicsPhysical review letters
- 2013

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.

### Numerical and experimental investigation of circulation in short cylinders

- Physics
- 2004

In preparation for an experimental study of magnetorotational instability (MRI) in liquid metal, we explore Couette flows having height comparable to the gap between cylinders, centrifugally stable…