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We study the decay of high-Reynolds number Taylor-Couette turbulence, i.e. the turbulent flow between two coaxial rotating cylinders. To do so, the rotation of the inner cylinder (Re$_i=2 \times 10^6$, the outer cylinder is at rest) is…

Motivated by the use of Taylor-Couette flow in extracorporeal circulation devices [K$\ddot{\rm o}$rfer et al., 2003, 26(4): 331-338], where it leads to an accumulation of platelets and plasma proteins in the vortex center and therefore to a…

Analysis of PDEs · Mathematics 2025-12-08 Shikun Cui , Lili Wang , Wendong Wang

A series of direct numerical simulations in large computational domains has been performed in order to probe the spatial feature robustness of the Taylor rolls in turbulent Taylor-Couette (TC) flow. The latter is the flow between two…

Fluid Dynamics · Physics 2017-04-21 Rodolfo Ostilla-Mónico , Detlef Lohse , Roberto Verzicco

In this paper, we investigate numerically the flow of an electrically conducting fluid in a cylindrical Taylor-Couette flow when an axial magnetic field is applied. To minimize Ekman recirculation due to vertical no-slip boundaries, two…

Fluid Dynamics · Physics 2015-06-03 Christophe Gissinger , Jeremy Goodman , Hantao Ji

In the present work, we study the flow of thixotropic yield stress fluids between two concentric cylinders. In order to take into account the thixotropy, the constitutive relation uses a structural parameter which is driven by a kinetic…

In this paper, we investigate the stability of the 2-dimensional (2D) Taylor-Couette (TC) flow for the incompressible Navier-Stokes equations. The explicit form of velocity for 2D TC flow is given by $u=(Ar+\frac{B}{r})(-\sin \theta, \cos…

Analysis of PDEs · Mathematics 2023-06-26 Xinliang An , Taoran He , Te Li

Odd viscosity can emerge in 3D hydrodynamics when the time reversal symmetry is broken and anisotropy is introduced. Its ramifications on the stability of the prototypical Taylor-Couette flow in curved geometries have remained unexplored.…

Fluid Dynamics · Physics 2023-09-22 Guangle Du , Rudolf Podgornik

Transition to turbulence dramatically alters the properties of fluid flows. In most canonical shear flows, the laminar flow is linearly stable and a finite-amplitude perturbation is necessary to trigger transition. Controlling transition to…

Fluid Dynamics · Physics 2020-05-20 Anton Pershin , Cedric Beaume , Steven M. Tobias

The viscous force should be shear force, the difference between the strain-rate viscosity and the slip viscosity is that the former has conjugate shear force, while the latter does not. The study in this paper verifies the physical…

Fluid Dynamics · Physics 2026-01-15 Jian He , Jin Wang , Qiaocong Kong , Penglong Zhao , Xiaoshu Cai , Xiaohang Zhang , Wennan Zou

The nonaxisymmetric 'kink-type' Tayler instability (TI) of toroidal magnetic fields is studied for conducting incompressible fluids of uniform density between two infinitely long cylinders rotating around the same axis. It is shown that for…

Solar and Stellar Astrophysics · Physics 2015-05-13 G. Ruediger , M. Schultz

We report 3D numerical simulations of the flow of an electrically conducting fluid in a spherical shell when a magnetic field is applied. Different spherical Couette configurations are investigated, by varying the rotation ratio between the…

Fluid Dynamics · Physics 2015-05-28 Christophe Gissinger , Hantao Ji , Jeremy Goodman

Nonlinear evolution of a continuous spectrum of unstable waves near the first bifurcation point in circular Couette flow has been investigated. The disturbance is represented by a Fourier integral over all possible axial wavenumbers, and an…

Mathematical Physics · Physics 2007-05-23 L. S. Yao , S. Ghosh Moulic

In Rayleigh-Benard convection and Taylor-Couette flow cellular patterns emerge at the onset of instability and persist as large-scale coherent structures in the turbulent regime. Their long-term dynamics has been thoroughly characterised…

Fluid Dynamics · Physics 2025-03-26 Daniel Feldmann , Marc Avila

We study the Couette Taylor instabilities for an incompressible viscous fluid between two coaxial cylinders of nearly equal radii, allowing counter-rotation with the ratio of rotation rate $\mu \in [-1,1]$. Working in a rotating frame and…

Analysis of PDEs · Mathematics 2026-03-23 Dongfen Bian , Emmanuel Grenier , Gérard Iooss , Zhuolun Yang

A counter-rotating Taylor-Couette flow with relatively small radius ratios of $\eta$ = 0.2--0.5 was investigated over a wide range of the Reynolds number, from laminar to turbulent regime, by means of three-dimensional direct numerical…

Fluid Dynamics · Physics 2019-09-11 Ryo Tanaka , Takuya Kawata , Takahiro Tsukahara

Using flow visualizations in Couette geometry, we demonstrate the existence of Taylor-like vortices in the shear-banding flow of a giant micelles system. We show that vortices stacked along the vorticity direction develop concomitantly with…

Soft Condensed Matter · Physics 2009-09-07 M. A. Fardin , B. Lasne , O. Cardoso , G. Gregoire , M. Argentina , J. P. Decruppe , S. Lerouge

Hydrodynamic unstratified keplerian flows are known to be linearly stable at all Reynolds numbers, but may nevertheless become turbulent through nonlinear mechanisms. However, in the last ten years, conflicting points of view have appeared…

Astrophysics · Physics 2009-11-11 G. Lesur , P-Y. Longaretti

Recent studies have brought into question the view that at sufficiently high Reynolds number turbulence is an asymptotic state. We present the first direct observation of the decay of turbulent states in Taylor-Couette flow with lifetimes…

Fluid Dynamics · Physics 2010-02-19 Daniel Borrero-Echeverry , Randall Tagg , Michael F. Schatz

The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is…

Astrophysics · Physics 2009-11-06 G. Rüdiger , Y. Zhang

In this work, the linear stability of the viscous incompressible fluid flow between two parallel horizontal porous stationary plates with the assumption that there is a small constant suction at upper plate and a small constant injection at…

Fluid Dynamics · Physics 2014-12-03 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou
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