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It is well established that the onset of spatially periodic vortex states in the Taylor-Couette flow between rotating cylinders occurs at the value of Reynold's number predicted by local bifurcation theory. However, the symmetry breaking…

Pattern Formation and Solitons · Physics 2009-10-28 A. M. Rucklidge , A. R. Champneys

A new mixing layer can be generated if the rotation of either of the two cylinders in a Taylor--Couette apparatus varies discontinuously along the symmetry axis. The mixing zone between the two resulting co-current streams gives rise to…

Fluid Dynamics · Physics 2012-11-08 Simen Å. Ellingsen , Helge I. Andersson

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…

The influence of an axial through-flow on the spatiotemporal growth behavior of different vortex structures in the Taylor-Couette system with radius ratio eta=0.5 is determined. The Navier Stokes equations (NSE) linearized around the basic…

Fluid Dynamics · Physics 2008-07-21 A. Pinter , M. Lücke , Ch. Hoffmann

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

The Couette-Taylor instability occurs in a viscous fluid confined between two coaxial rotating cylinders. When the Taylor number surpasses a critical value, the stable Couette flow destabilizes, giving way to steady Taylor vortices. As the…

Analysis of PDEs · Mathematics 2026-01-22 Dongfen Bian , Emmanuel Grenier , Gérard Iooss , Zhuolun Yang

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…

Fluid Dynamics · Physics 2015-06-11 Hannes J. Brauckmann , Bruno Eckhardt

This study aims to investigate the possible sources of non-axisymmetric disturbances and their propagation mechanism in Taylor Couette flow (TCF) for wide gap problems using direct numerical simulation with a radius ratio of 0.5 and…

Fluid Dynamics · Physics 2019-08-26 Md Abdur Razzak , Boo Cheong Khoo , Kim Boon Lua

The first long-lived turbulent structures observable in planar shear flows take the form of localized stripes, inclined with respect to the mean flow direction. The dynamics of these stripes are central to transition, and recent studies…

Fluid Dynamics · Physics 2023-11-07 Elena Marensi , Gökhan Yalnız , Björn Hof

We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, non-rotating end-walls in axial direction. As in the axial periodic…

Pattern Formation and Solitons · Physics 2015-05-14 S. Altmeyer , Ch. Hoffmann , M. Heise , A. Pinter , M. Lücke , G. Pfister

This study investigates the spatial distribution of inertial particles in turbulent Taylor-Couette flow. Direct numerical simulations are performed using a one-way coupled Eulerian-Lagrangian approach, with a fixed inner wall Reynolds…

Fluid Dynamics · Physics 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong

Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped…

Fluid Dynamics · Physics 2024-06-19 Akash Unnikrishnan , Surya Pratap Vanka , Vinod Narayanan

The main objective of this article is to study both dynamic and structural transitions of the Taylor-Couette flow, using the dynamic transition theory and geometric theory of incompressible flows developed recently by the authors. In…

Mathematical Physics · Physics 2010-05-13 Tian Ma , Shouhong Wang

Plane Poiseuille flow shows turbulence at a Reynolds number that is lower than the critical one for the onset of Tollmien-Schlichting waves. The transition to turbulence follows the same route as the by-pass transition in boundary layers,…

Fluid Dynamics · Physics 2015-06-16 Stefan Zammert , Bruno Eckhardt

In many shear- and pressure-driven wall-bounded turbulent flows secondary motions spontaneously develop and their interaction with the main flow alters the overall large-scale features and transfer properties. Taylor-Couette flow, the fluid…

Fluid Dynamics · Physics 2019-05-22 Francesco Sacco , Roberto Verzicco , Rodolfo Ostilla-Mónico

This article presents a numerical analysis of the instability developing in horizontally sheared Poiseuille flow, when stratification extends along the vertical direction. Our study builds up on the previous work that originally detected…

Fluid Dynamics · Physics 2023-05-31 Joris Labarbe , Patrice Le Gal , Uwe Harlander , Stéphane Le Dizès , Benjamin Favier

Since Taylor's seminal paper, the existence of large-scale quasi-axisymmetric structures has been a matter of interest when studying Taylor-Couette flow. In this manuscript, we probe their formation in the highly turbulent regime by…

Fluid Dynamics · Physics 2023-02-15 V. Jeganathan , K. Alba , R. Ostilla-Monico

We consider the Stokes system in the half-space with localized boundary data. We prove that a boundary layer separation point exists provided that a certain singular integral determined by the boundary data is negative. On the other hand,…

Analysis of PDEs · Mathematics 2026-05-12 Tongkeun Chang , Kyungkeun Kang

The decay of Taylor-Couette turbulence, i.e~the flow between two coaxial and independently rotating cylinders, is numerically studied by instantaneously stopping the forcing from an initially statistically stationary flow field at a…

Fluid Dynamics · Physics 2017-11-08 Rodolfo Ostilla-Mónico , Xiaojue Zhu , Vamsi Spandan , Roberto Verzicco , Detlef Lohse

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
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