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It is known that in a hydrodynamic Taylor-Couette system uniform rotation or a rotation law with positive shear ('super-rotation') are linearly stable. It is also known that a conducting fluid under the presence of a sufficiently strong…

太阳与恒星天体物理 · 物理学 2016-02-17 G. Rüdiger , M. Schultz , M. Gellert , F. Stefani

Marginal stability arguments are used to describe the rotation-number dependence of torque in Taylor-Couette (TC) flow for radius ratios $\eta \geq 0.9$ and shear Reynolds number $Re_S=2\times 10^4$. With an approximate representation of…

流体动力学 · 物理学 2017-04-05 Hannes J. Brauckmann , Bruno Eckhardt

The linear marginal instability of an axisymmetric MHD Taylor-Couette flow of infinite vertical extension is considered. For flows with a resting outer cylinder there is a well-known characteristic Reynolds number even without magnetic…

天体物理学 · 物理学 2016-08-16 G. Rüdiger , D. A. Shalybkov

According to Rayleigh's criterion, rotating flows are linearly stable when their specific angular momentum increases radially outward. The celebrated magnetorotational instability opens a way to destabilize those flows, as long as the…

流体动力学 · 物理学 2015-11-23 Frank Stefani , Oleg N. Kirillov

Friction at the endwalls of partially-filled horizontal rotating tumblers induces curvature and axial drift of particle trajectories in the surface flowing layer. Here we describe the results of a detailed discrete element method study of…

软凝聚态物质 · 物理学 2022-01-19 Umberto d'Ortona , Nathalie Thomas , Richard Lueptow

We experimentally study the turbulent flow between two coaxial and independently rotating cylinders. We determined the scaling of the torque with Reynolds numbers at various angular velocity ratios (Rotation numbers), and the behaviour of…

流体动力学 · 物理学 2010-06-08 Florent Ravelet , Rene Delfos , Jerry Westerweel

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.…

流体动力学 · 物理学 2025-03-12 Kengo Deguchi , Ming Dong

The effect of rotation on the classical gravity-driven Rayleigh-Taylor instability has been shown to influence the scale of the perturbations that develop at the unstable interface and consequently alter the speed of propagation of the…

流体动力学 · 物理学 2018-08-29 M. M. Scase , R. J. A. Hill

The linear marginal instability of an axisymmetric MHD Taylor-Couette flow of infinite vertical extension is considered. The dependence of the flow stability on magnetic Prandtl number, Pm, and gap-width between rotating cylinders is…

天体物理学 · 物理学 2009-11-07 G. Ruediger , D. Shalybkov

In a previous paper, we have reported numerical simulations of the MHD flow driven by a travelling magnetic field (TMF) in an annular channel, at low Reynolds number. It was shown that the stalling of such induction pump is strongly related…

流体动力学 · 物理学 2016-03-23 Paola Rodriguez Imazio , Christophe Gissinger

Azimuthal magnetorotational instability is a mechanism that generates nonaxisymmetric field pattern. Nonlinear simulations in an infinite Taylor-Couette system with current-free external field show, that not only the linearly unstable mode…

天体物理学 · 物理学 2009-11-13 M. Gellert , G. Ruediger , A. Fournier

Turbulent flow past an equilateral triangular cylinder with splitter plate inserted downstream is numerically tested for different gap ratios (0, 0.5, 1, 1.5, 2) and plate dimensions (0, 1, 1.5) on the flow field and heat transfer…

流体动力学 · 物理学 2022-06-28 Smruti Ranjan Jena , Amit Kumar Naik , Amaresh Dalal , Ganesh Natarajan

Hollerbach and Rudiger have reported a new type of magnetorotational instability (MRI) in magnetized Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields. The salient advantage of this "helical'' MRI (HMRI) is…

天体物理学 · 物理学 2008-11-26 Wei Liu , Jeremy Goodman , Isom Herron , Hantao Ji

We study the stability of cylindrical Taylor-Couette flow in the presence of azimuthal magnetic fields, and show that one obtains non-axisymmetric magnetorotational instabilities, having azimuthal wavenumber m=1. For Omega_o/Omega_i only…

流体动力学 · 物理学 2010-01-28 Rainer Hollerbach , Vijaya Teeluck , Gunther Rudiger

Tangent Cylinders (TCs) have shaped our understanding of planetary dynamos and liquid cores. The Taylor-Proudman Constraint (TPC) due to planetary rotation creates these imaginary surfaces separating polar and equatorial regions but cannot…

流体动力学 · 物理学 2024-11-04 Alban Pothérat , Kélig Aujogue , François Debray

We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of $\mathrm{Ta}=10^{11}$ to $9\cdot10^{12}$, by measuring the global torques and the local velocities while probing the phase…

流体动力学 · 物理学 2016-04-19 Roeland C. A. van der Veen , Sander G. Huisman , On-Yu Dung , Ho L. Tang , Chao Sun , Detlef Lohse

We present wall-resolved large-eddy simulations (LES) of the incompressible Navier-Stokes equations together with empirical modeling for {turbulent} Taylor-Couette {(TC)} flow where the inner cylinder is rotating with angular velocity…

流体动力学 · 物理学 2019-08-20 Wan Cheng , Dale I. Pullin , Ravi Samtaney

Differentially rotating flows of unmagnetized, highly conducting plasmas have been created in the Plasma Couette Experiment. Previously, hot-cathodes have been used to control plasma rotation by a stirring technique [C. Collins et al.,…

等离子体物理 · 物理学 2015-06-19 C. Collins , M. Clark , C. M. Cooper , K. Flanagan , I. V. Khalzov , M. D. Nornberg , B. Seidlitz , J. Wallace , C. B. Forest

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…

等离子体物理 · 物理学 2020-01-08 G. Rüdiger , M. Schultz

We perform direct numerical simulations of flows over finite-aspect-ratio rotating circular cylinders at a Reynolds number of 150 over a range of aspect ratios ($AR=2-12$) and rotation rates ($\alpha=0-5$), aiming at revealing the free-end…

流体动力学 · 物理学 2026-05-13 Kai Zhang , Yong Cao , Hanfeng Wang , Yan Bao , Bin Zhao , Dai Zhou