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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

Turbulent transport of angular momentum is a necessary process to explain accretion in astrophysical disks. Although the hydrodynamic stability of disk-like flows has been tested in experiments, results are contradictory and suggest either…

Fluid Dynamics · Physics 2012-03-23 Marc Avila

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 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…

Astrophysics · Physics 2007-05-23 Denis Richard , Jean-Paul Zahn

We experimentally and numerically investigate the angular momentum transport in turbulent Taylor-Couette flow for independently rotating cylinders at a small radius ratio of $\eta=0.357$ for various shear Reynolds numbers ($4.5\times 10^3…

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

At large scales, the Reynolds stress tensor exhibits notable anisotropy, a key feature of all wall-bounded turbulent flows. Yet, how the drivers of this anisotropy evolve with shearing and thermal stratification in the atmospheric surface…

Fluid Dynamics · Physics 2025-12-04 Ivana Stiperski , Gabriel G. Katul , Elie Bou-Zeid , Marc Calaf

Homogeneous anisotropic turbulence simulations are used to determine off-diagonal components of the Reynolds stress tensor and its parameterization in terms of turbulent viscosity and Lambda-effect. The turbulence is forced in an…

Astrophysics · Physics 2011-11-10 P. J. Käpylä , A. Brandenburg

We investigate the nonlinear dynamics of turbulent shear flows, with and without rotation, in the context of a simple but physically motivated closure of the equation governing the evolution of the Reynolds stress tensor. We show that the…

Astrophysics · Physics 2009-11-10 Pascale Garaud , Gordon I. Ogilvie

We study the stability of density stratified flow between co-rotating vertical cylinders with rotation rates $\Omega_o < \Omega_i$ and radius ratio $r_i/r_o=0.877$, where subscripts $o$ and $i$ refer to the outer and inner cylinders. Just…

Fluid Dynamics · Physics 2016-04-12 Ruy Ibanez , Harry L. Swinney , Bruce Rodenborn

We present angular momentum transport (torque) measurements in two recent experimental studies of the turbulent flow between independently rotating cylinders. In addition to these studies, we reanalyze prior torque measurements to expand…

Fluid Dynamics · Physics 2012-11-12 M. S. Paoletti , Dennis P. M. van Gils , B. Dubrulle , Chao Sun , Detlef Lohse , D. P. Lathrop

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

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

Spatio-temporally complex flows are found at the onset of unsteadiness in (axisymmetric) rotor-stator turbulence in the shape of concentric rolls. The emergence of these rolls is rationalised using a homotopy approach, where the original…

Fluid Dynamics · Physics 2025-06-17 Artur Gesla , Patrick Le Quéré , Yohann Duguet , Laurent Martin Witkowski

We develop a local model for the exponential growth and saturation of the Reynolds and Maxwell stresses in turbulent flows driven by the magnetorotational instability. We first derive equations that describe the effects of the instability…

Astrophysics · Physics 2008-11-26 Martin E. Pessah , Chi-kwan Chan , Dimitrios Psaltis

We present a unique method for solving for the Reynolds stress in turbulent canonical flows, based on the momentum balance for a control volume moving at the local mean velocity. A differential transform converts this momentum balance to a…

Fluid Dynamics · Physics 2017-08-17 T. -W. Lee

Models for solving the Reynolds-averaged Navier-Stokes equations are popular tools for predicting complex turbulent flows due to their computational affordability and ability to provide or estimate quantities of engineering interest.…

Fluid Dynamics · Physics 2024-09-10 Ty Homan , Omkar B. Shende , Ali Mani

To study the Reynolds stresses which describe turbulent momentum transport from turbulence affected by large-scale shear and rotation. Three-dimensional numerical simulations are used to study turbulent transport under the influences of…

Solar and Stellar Astrophysics · Physics 2009-11-19 J. E. Snellman , P. J. Käpylä , M. J. Korpi , A. J. Liljeström

The stability of conducting Taylor-Couette flows under the presence of toroidal magnetic background fields is considered. For strong enough magnetic amplitudes such magnetohydrodynamic flows are unstable against nonaxisymmetric…

Plasma Physics · Physics 2020-01-08 G. Rüdiger , M. Schultz

The origin of hydrodynamical instability and turbulence in the Keplerian accretion disk is a long-standing puzzle. The flow therein is linearly stable. Here we explore the evolution of perturbation in this flow in the presence of an…

High Energy Astrophysical Phenomena · Physics 2021-11-18 Subham Ghosh , Banibrata Mukhopadhyay
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