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Fluid flows between rotating concentric cylinders exhibit two distinct routes to turbulence. In flows dominated by inner-cylinder rotation, a sequence of linear instabilities leads to temporally chaotic dynamics as the rotation speed is…

流体动力学 · 物理学 2025-02-04 Daniel Feldmann , Daniel Borrero-Echeverry , Michael J. Burin , Kerstin Avila , Marc Avila

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…

流体动力学 · 物理学 2008-06-20 Florent Ravelet , Rene Delfos , Jerry Westerweel

Taylor-Couette (TC) flow, the flow between two independently rotating and co-axial cylinders is commonly used as a canonical model for shear flows. Unlike plane Couette, pinned secondary flows can be found in TC flow. These are known as…

流体动力学 · 物理学 2021-07-28 V. Jeganathan , K. Alba , R. Ostilla-Mónico

A concise review is given of astrophysically motivated experimental and theoretical research on Taylor-Couette flow. The flows of interest rotate differentially with inner cylinder faster than outer one but are linearly stable against…

流体动力学 · 物理学 2022-12-20 H. Ji , J. Goodman

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…

偏微分方程分析 · 数学 2023-06-26 Xinliang An , Taoran He , Te Li

In the present paper, microcanonical measures for the dynamics of three dimensional (3D) axially symmetric turbulent flows with swirl in a Taylor-Couette geometry are defined, using an analogy with a long-range lattice model. We compute the…

统计力学 · 物理学 2015-06-16 Simon Thalabard , Bérengère Dubrulle , Freddy Bouchet

The turbulent transport of angular momentum plays an important role in many astrophysical objects, but its modelization is still far from satisfactory. We discuss here what can be learned from laboratory experiments. We analyze the results…

天体物理学 · 物理学 2007-05-23 Denis Richard , Jean-Paul Zahn

The energy gradient theory is used to study the instability of Taylor-Couette flow between concentric rotating cylinders. This theory has been proposed in our previous works. In our previous studies, the energy gradient theory was…

流体动力学 · 物理学 2010-07-13 Hua-Shu Dou , Boo Cheong Khoo , Koon Seng Yeo

Turbulent shear flows are abundant in geophysical and astrophysical systems and in engineering-technology applications. They are often riddled with large-scale secondary flows that drastically modify the characteristics of the primary…

流体动力学 · 物理学 2023-06-21 Vignesh Jeganathan , Tala Shannak , Kamran Alba , Rodolfo Ostilla-Mónico

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…

流体动力学 · 物理学 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

The linear stability theory of Taylor-Couette flows (unbounded in_z_) is described including magnetic fields, Hall effect or a density stratification in order to prepare laboratory experiments to probe the stability of differential rotation…

天体物理学 · 物理学 2007-05-23 Guenther Ruediger

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

综合数学 · 数学 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

Complex fluids transition from laminar to transitory flow above a critical control parameter, akin to their Newtonian counterparts. In a continuum mechanics sense, fluid elements follow the ensuing complex trajectories, giving rise to…

We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the outer one rotating with constant angular speed. We study…

偏微分方程分析 · 数学 2024-06-24 Filippo Gazzola , Jiří Neustupa , Gianmarco Sperone

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…

天体物理学 · 物理学 2009-11-06 G. Rüdiger , Y. Zhang

Aims: To investigate the stability and angular momentum transport by the strato-rotational instability in the nonlinear regime. Methods: The hydrodynamic compressible equations are solved in a cartesian box in which the outer cylinder is…

天体物理学 · 物理学 2007-05-23 A. Brandenburg , G. Ruediger

Rotation is a crucial characteristic of fluid flow in the atmosphere and oceans, which is present in nearly all meteorological and geophysical models. The global existence of solutions to the 3D Navier-Stokes equations with large rotation…

偏微分方程分析 · 数学 2024-09-30 Wenting Huang , Ying Sun , Xiaojing Xu

We study the dynamic behaviour of two viscous fluid films confined between two concentric cylinders rotating at a small relative velocity. It is assumed that the fluids are immiscible and that the volume of the outer fluid film is large…

偏微分方程分析 · 数学 2021-10-01 Christina Lienstromberg , Tania Pernas-Castaño , Juan J. L. Velázquez

This study is devoted to the experimental analysis of the Strato-rotational Instability (SRI). This instability affects the classical cylindrical Couette flow when the fluid is stably stratified in the axial direction. In agreement with…

天体物理学 · 物理学 2008-11-26 M. Le Bars , P. Le Gal

In preparation for an experimental study of magnetorotational instability (MRI) in liquid metal, we explore Couette flows having height comparable to the gap between cylinders, centrifugally stable rotation, and high Reynolds number.…

流体动力学 · 物理学 2009-11-10 Akira Kageyama , Hantao Ji , Jeremy Goodman , Fei Chen , Ethan Shoshan