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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…

流体动力学 · 物理学 2015-06-17 Siegfried Grossmann , Detlef Lohse , Chao Sun

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 $1.49 \times 10^{12}$…

流体动力学 · 物理学 2015-06-16 Sander G. Huisman , Detlef Lohse , Chao Sun

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…

流体动力学 · 物理学 2020-12-02 Pieter Berghout , Roberto Verzicco , Richard J. A. M. Stevens , Detlef Lohse , Daniel Chung

Direct numerical simulations of turbulent Taylor-Couette flow are performed up to inner cylinder Reynolds numbers of {Re_i=10^5} for a radius ratio of {\eta=r_i/r_o=0.714} between the inner and outer cylinder. With increasing {Re_i}, the…

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 logarithmic law of the wall, joining the inner, near-wall mean velocity profile (abbreviated MVP) in wall-bounded turbulent flows to the outer region, has been a permanent fixture of turbulence research for over hundred years, but there…

流体动力学 · 物理学 2023-08-02 Peter A. Monkewitz , Hassan M. Nagib

In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v=v_0[(1/\kappa) ln z + constant]. The distance from the wall in dimensionless units is z and v_0 is an uniquely defined velocity scale. The…

统计力学 · 物理学 2021-05-26 Amit Kr. Chattopadhyay , Jayanta K. Bhattacharjee

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…

流体动力学 · 物理学 2012-11-12 Sander G. Huisman , Dennis P. M. van Gils , Siegfried Grossmann , Chao Sun , Detlef Lohse

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…

We study periodically driven Taylor-Couette turbulence, i.e. the flow confined between two concentric, independently rotating cylinders. Here, the inner cylinder is driven sinusoidally while the outer cylinder is kept at rest (time-averaged…

流体动力学 · 物理学 2018-05-15 Ruben A. Verschoof , Arne K. te Nijenhuis , Sander G. Huisman , Chao Sun , Detlef Lohse

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…

流体动力学 · 物理学 2012-11-12 Dennis P. M. van Gils , Sander G. Huisman , Siegfried Grossmann , Chao Sun , Detlef Lohse

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 $Re_o$…

流体动力学 · 物理学 2017-04-25 Rodolfo Ostilla-Mónico , Roberto Verzicco , Detlef Lohse

One of the key observations in the Princeton Superpipe was the late start of the logarithmic mean velocity overlap layer at a wall distance of the order of $10^3$ inner units. Between $y^+\approx 150$, the start of the overlap layer in zero…

流体动力学 · 物理学 2021-04-21 Peter A. Monkewitz

Turbulent Taylor-Couette flow between counter-rotating cylinders develops intermittently fluctuating boundary layers for sufficient counter-rotation. We demonstrate the phenomenon in direct numerical simulations for radius ratios \eta=0.5…

流体动力学 · 物理学 2015-06-11 Hannes J. Brauckmann , Bruno Eckhardt

On the basis of various DNS of turbulent channel flows the following picture is proposed. (i) At a height y from the y = 0 wall, the Taylor microscale \lambda is proportional to the average distance l_s between stagnation points of the…

流体动力学 · 物理学 2010-01-18 Vassilios Dallas , J. Christos Vassilicos , Geoffrey F. Hewitt

The trinity of so-called "canonical" wall-bounded turbulent flows, comprising the zero pressure gradient turbulent boundary layer, abbreviated ZPG TBL, turbulent pipe flow and channel/duct flows has continued to receive intense attention as…

流体动力学 · 物理学 2017-09-20 Peter A. Monkewitz

This paper is concerned with the optimal upper bound on mean quantities (torque, dissipation and the Nusselt number) obtained in the framework of the background method for the Taylor--Couette flow with a stationary outer cylinder. Along the…

流体动力学 · 物理学 2022-01-19 Anuj Kumar

The universal velocity log law first proposed by von K\'arm\'an in the near-wall region of turbulent shear flows is one of the cornerstones of turbulence theory. When buoyancy effects are important, the universal velocity log law is…

流体动力学 · 物理学 2022-09-16 Yu Cheng , Andrey Grachev , Chiel van Heerwaarden

Direct numerical simulations of Taylor-Couette flow (TC). Shear Reynolds numbers of up to $3\cdot10^5$, corresponding to Taylor numbers of $Ta=4.6\cdot10^{10}$, were reached. Effective scaling laws for the torque are presented. The…

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 $\eta = 0.716$, an aspect-ratio of $\Gamma…

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