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A series of direct numerical simulations of Taylor-Couette (TC) flow, the flow between two coaxial cylinders, with the outer cylinder rotating and the inner one fixed, were performed. Three cases, with outer cylinder Reynolds numbers $Re_o$…

Fluid Dynamics · Physics 2017-04-25 Rodolfo Ostilla-Mónico , Roberto Verzicco , Detlef Lohse

We numerically compute the flow of an electrically conducting fluid in a Taylor-Couette geometry where the rotation rates of the inner and outer cylinders satisfy $\Omega_o/\Omega_i=(r_o/r_i)^{-3/2}$. In this quasi-Keplerian regime a…

Fluid Dynamics · Physics 2017-10-25 Anna Guseva , Rainer Hollerbach , Ashley P. Willis , Marc Avila

We experimentally and numerically investigate the angular momentum transport in turbulent Taylor-Couette flow for independently rotating cylinders at a small radius ratio of $\eta=0.357$ for various shear Reynolds numbers ($4.5\times 10^3…

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 appropriate (cylinder) geometry. In particular, we…

Fluid Dynamics · Physics 2015-06-17 Siegfried Grossmann , Detlef Lohse , Chao Sun

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 reanalyze prior torque measurements to expand…

Fluid Dynamics · Physics 2012-11-12 M. S. Paoletti , Dennis P. M. van Gils , B. Dubrulle , Chao Sun , Detlef Lohse , D. P. Lathrop

Using high-resolution particle image velocimetry we measure velocity profiles, the wind Reynolds number and characteristics of turbulent plumes in Taylor-Couette flow for a radius ratio of 0.5 and Taylor number of up to $6.2\cdot10^9$. The…

The magnetorotational instability (MRI) is thought to be a powerful source of turbulence in Keplerian accretion disks. Motivated by recent laboratory experiments, we study the MRI driven by an azimuthal magnetic field in an electrically…

Solar and Stellar Astrophysics · Physics 2017-11-21 Anna Guseva , Ashley P. Willis , Rainer Hollerbach , Marc Avila

We numerically simulate turbulent Taylor-Couette flow for independently rotating inner and outer cylinders, focusing on the analogy with turbulent Rayleigh-B\'enard flow. Reynolds numbers of $Re_i=8\cdot10^3$ and $Re_o=\pm4\cdot10^3$ of the…

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 to $\text{Re}_S=3\times 10^5$}. The…

Taylor--Couette (TC) flow is the shear-driven flow between two coaxial independently rotating cylinders. In recent years, high-fidelity simulations and experiments revealed the shape of the streamwise and angular velocity profiles up to…

The instability of a quasi-Kepler flow in dissipative Taylor-Couette systems under the presence of an homogeneous axial magnetic field is considered with focus to the excitation of nonaxisymmetric modes and the resulting angular momentum…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. Gellert , G. Rüdiger , M. Schultz

We present a Taylor-Couette facility designed to investigate angular momentum transport over a wide range of Reynolds numbers, from moderate regimes in gases to extreme and potentially quantum regimes in cryogenic helium. The apparatus…

Fluid Dynamics · Physics 2026-05-25 Pantxo Diribarne , Jérôme Chartier , Jérôme Duplat , Bernard Rousset

Subcritical transition to turbulence in Keplerian accretion disks is still a controversial issue and some theoretical progress is required in order to determine whether or not this scenario provides a plausible explanation for the origin of…

Astrophysics · Physics 2009-11-11 F. Rincon , G. I. Ogilvie , C. Cossu

Rayleigh-Benard convection and Taylor-Couette flow are two canonical flows that have many properties in common. We here compare the two flows in detail for parameter values where the Nusselt numbers, i.e. the thermal transport and the…

Fluid Dynamics · Physics 2017-04-12 Hannes Brauckmann , Bruno Eckhardt , Joerg Schumacher

The statistics of velocity fluctuations of turbulent Taylor-Couette flow are examined. The rotation rate of the inner and outer cylinder are varied while keeping the Taylor number fixed to $1.49 \times 10^{12}$…

Fluid Dynamics · Physics 2015-06-16 Sander G. Huisman , Detlef Lohse , Chao Sun

Rayleigh-B\'enard convection (RBC) and Taylor-Couette Flow (TCF) are two paradigmatic fluid dynamical systems frequently discussed together because of their many similarities despite their different geometries and forcing. Often these…

Fluid Dynamics · Physics 2020-10-28 Bruno Eckhardt , Charles R. Doering , Jared P. Whitehead

We report a direct-numerical-simulation study of Taylor-Couette flow in the quasi-Keplerian regime at shear Reynolds numbers up to $\mathcal{O}(10^5)$. Quasi-Keplerian rotating flow has been investigated for decades as a simplified model…

Fluid Dynamics · Physics 2017-11-21 Liang Shi , Bjoern Hof , Markus Rampp , Marc Avila

We use experiments and direct numerical simulations to probe the phase-space of low-curvature Taylor--Couette (TC) flow in the vicinity of the ultimate regime. The cylinder radius ratio is fixed at $\eta=r_i/r_o=0.91$. Non-dimensional shear…

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

Fluid Dynamics · Physics 2019-04-02 Siegfried Grossmann , Detlef Lohse , Chao Sun

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 measurements, we analyse the dimensionless angular velocity flux…

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