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Related papers: Observations of the stratorotational instability i…

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The `Rayleigh line' $\mu=\eta^2$, where $\mu=\Omega_o/\Omega_i$ and $\eta=r_i/r_o$ are respectively the rotation and radius ratios between inner (subscript `i') and outer (subscript `o') cylinders, is regarded as marking the limit of…

Fluid Dynamics · Physics 2016-10-12 Colin Leclercq , Florian Nguyen , Rich R. Kerswell

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…

Astrophysics · Physics 2008-11-26 M. Le Bars , P. Le Gal

In view of new experimental data the instability against adiabatic nonaxisymmetric perturbations of a Taylor-Couette flow with an axial density stratification is considered in dependence of the Reynolds number Re of rotation and the…

Fluid Dynamics · Physics 2017-12-27 G. Rüdiger , T. Seelig , M. Schultz , M. Gellert , U. Harlander , Chr. Egbers

The present paper describes a combined experimental and high performance computing study of new specific behaviors of the Strato-Rotational Instability (SRI). The confrontation of low frequency Particle Image Velocimetry (PIV) experimental…

Fluid Dynamics · Physics 2020-08-24 G. Meletti , S. Abide , S. Viazzo , A. Krebs , U. Harlander

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

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

The stability of dissipative Taylor-Couette flows with an axial stable density stratification and a prescribed azimuthal magnetic field is considered. Global nonaxisymmetric solutions of the linearized MHD equations with toroidal magnetic…

Astrophysics · Physics 2009-11-13 G. Ruediger , D. A. Shalybkov

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…

Astrophysics · Physics 2007-05-23 Guenther Ruediger

An analytical approach is carried out that provides an inviscid stability criterion for the strato-rotational instability (in short SRI) occurring in a Taylor-Couette system. The control parameters of the problem are the rotation ratio…

Fluid Dynamics · Physics 2008-11-20 Christiane Normand

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

We study the stability of the Couette-Taylor flow between porous cylinders with radial throughflow. It had been shown earlier that this flow can be unstable with respect to non-axisymmetric (azimuthal or helical) waves provided that the…

Fluid Dynamics · Physics 2019-12-02 Konstantin Ilin , Andrey Morgulis

The linear normal-mode stratorotational instability (SRI) is analytically reexamined in the inviscid limit where the length scales of horizontal disturbances are large compared their vertical and radial counterparts. Boundary conditions…

Astrophysics · Physics 2009-11-11 O. M. Umurhan

Flow around two rotating side-by-side circular cylinders of equal diameter D is numerically studied at the Reynolds number Re=40-200 and various rotation rate theta_i. The incoming flow is assumed to be two-dimensional laminar flow. The…

Fluid Dynamics · Physics 2019-02-13 Hua-Shu Dou , Shuo Zhang , Hui Yang , Toshiaki Setoguchi , Yoichi Kinoue

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…

Astrophysics · Physics 2007-05-23 A. Brandenburg , G. Ruediger

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

Fluid Dynamics · Physics 2015-06-18 Konstantin Ilin , Andrey Morgulis

An oscillatory instability has been observed experimentally on an horizontal cylinder free to move and rotate between two parallel vertical walls of distance H; its characteristics differ both from vortex shedding driven oscillations and…

Fluid Dynamics · Physics 2013-07-16 Maria Veronica D'Angelo , Jean-Pierre Hulin , Harold Auradou

Nonlinear evolutions of two-dimensional single-mode compressible Rayleigh--Taylor instability (RTI) with isothermal stratification are investigated in cylindrical geometry via direct numerical simulation for different Atwood numbers…

Fluid Dynamics · Physics 2025-02-04 Ming Yuan , Zhiye Zhao , Luoqin Liu , Pei Wang , Nan-Sheng Liu , Xi-Yun Lu

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

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

Much work has been done to understand the settling dynamics of spherical particles in a homogeneous and a stratified fluid. However, the effects of shape anisotropy on the settling dynamics of a particle in a stratified fluid are not…

Fluid Dynamics · Physics 2025-01-23 Rishabh V. More , Mehdi N. Ardekani , Luca Brandt , Arezoo M. Ardekani
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