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We study liquid-liquid dispersions in a turbulent Taylor-Couette flow, produced between two counterrotating coaxial cylinders. In pure Water and in counterrotation, Reynolds numbers up to 1.4 10^5 are reached. The liquids we use are a…

Fluid Dynamics · Physics 2008-06-20 Florent Ravelet , Rene Delfos , Jerry Westerweel

We investigate the coupling effects of the two-phase interface, viscosity ratio, and density ratio of the dispersed phase to the continuous phase on the flow statistics in two-phase Taylor-Couette turbulence at a system Reynolds number of…

Fluid Dynamics · Physics 2024-09-12 Jinghong Su , Cheng Wang , Yi-bao Zhang , Fan Xu , Junwu Wang , Chao Sun

This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis of the experimental data obtained in…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle , O. Dauchot , F. Daviaud , P-Y. Longaretti , D. Richard , J-P. Zahn

In this paper, we study the nonlinear stability of a steady circular flow created between two rotating concentric cylinders. The dynamics of the viscous fluid are described by 2D Navier-Stokes equations. We adopt scaling variables. For the…

Analysis of PDEs · Mathematics 2022-01-03 Xinliang An , Taoran He , Te Li

We investigate Taylor-Couette flow with realistic no-slip boundary conditions at all surfaces through direct numerical simulations (DNS) and theoretical analysis. Imposing physically consistent end-wall conditions at the top and bottom lids…

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

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

The linear and non-linear dynamics of centrifugal instability in Taylor-Couette flow are investigated when fluids are stably stratified and highly diffusive. One-dimensional local linear stability analysis (LSA) on cylindrical Couette flow…

Fluid Dynamics · Physics 2025-12-10 Junho Park

Taylor-Couette flow is often used as a simplified model for complex rotating flows in the interior of stars and accretion disks. The flow dynamics in these objects is influenced by magnetic fields. For example, quasi-Keplerian flows in…

Fluid Dynamics · Physics 2023-02-15 Anna Guseva , Steven M. Tobias

The presence of dispersed-phase droplets can result in a notable increase in the system's drag. However, our understanding of the mechanism underlying this phenomenon remains limited. In this study, we use three-dimensional direct numerical…

Fluid Dynamics · Physics 2024-11-21 Jinghong Su , Yi-bao Zhang , Cheng Wang , Lei Yi , Fan Xu , Yaning Fan , Junwu Wang , Chao Sun

We investigate the instability and nonlinear saturation of temperature-stratified Taylor-Couette flows in a finite height cylindrical gap and calculate angular-momentum transport in the nonlinear regime. The model is based on an…

Astrophysics · Physics 2009-11-13 M. Gellert , G. Rüdiger

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

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

Fluid Dynamics · Physics 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

The stability of density-stratified viscous Taylor-Couette flows is considered using the Boussinesq approximation but without any use of the short-wave approximation. The flows which are unstable after the Rayleigh criterion (\hat \mu<\hat…

Astrophysics · Physics 2009-11-10 D. Shalybkov , G. Ruediger

In the past fifteen years, flow instabilities reminiscent of the Taylor-like instabilities driven by hoop stresses, have been observed in wormlike micelles based on surfactant molecules. In particular, purely elastic instabilities and…

Soft Condensed Matter · Physics 2025-09-18 Xiaoxiao Yang , Darius Marin , Charlotte Py , Olivier Cardoso , Anke Lindner , Sandra Lerouge

We study liquid-liquid dispersions in a turbulent Taylor - Couette flow, produced between two counterrotating coaxial cylinders. In pure Water and in counterrotation, Reynolds numbers up to 1.4 10^5 are reached. We first characterize the…

Fluid Dynamics · Physics 2008-06-20 Florent Ravelet , Rene Delfos , Jerry Westerweel

The transition to turbulence in Taylor-Couette flow often occurs via a sequence of supercritical bifurcations to progressively more complex, yet stable, flows. We describe a subcritical laminar-turbulent transition in the counter-rotating…

In this work, we use flow visualization and rheometry techniques to study the dynamics and evolution of secondary flows in a model wormlike micellar solution sheared between concentric cylinders, i.e., in a Taylor-Couette (TC) cell. The…

Soft Condensed Matter · Physics 2017-06-28 Hadi Mohammadigoushki , Susan J. Muller

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined between two concentric independently rotating cylinders - consider small aspect ratio by solving the ferrohydrodynamical equations, carrying…

Computational Physics · Physics 2017-01-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

Fluid Dynamics · Physics 2017-10-09 Jianjun Tao , Xiangming Xiong
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