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Related papers: Hydromagnetic Taylor--Couette flow: wavy modes

200 papers

Turbulent Taylor-Couette flow between counter-rotating cylinders develops intermittently fluctuating boundary layers for sufficient counter-rotation. We demonstrate the phenomenon in direct numerical simulations for radius ratios \eta=0.5…

Fluid Dynamics · Physics 2015-06-11 Hannes J. Brauckmann , Bruno Eckhardt

Investigations of counter-rotating Taylor-Couette flow (TCF) in the narrow gap limit are conducted in a very large aspect ratio apparatus. The phase diagram is presented and compared to that obtained by Andereck et al. The spiral turbulence…

Condensed Matter · Physics 2015-06-24 A. Prigent , O. Dauchot

Taylor-Couette flow between rotating cylinders is a classical problem in fluid mechanics and has been extensively studied in the case of two concentric circular cylinders. There have been relatively small number of studies in complex-shaped…

Fluid Dynamics · Physics 2024-06-19 Akash Unnikrishnan , Surya Pratap Vanka , Vinod Narayanan

A series of direct numerical simulations in large computational domains has been performed in order to probe the spatial feature robustness of the Taylor rolls in turbulent Taylor-Couette (TC) flow. The latter is the flow between two…

Fluid Dynamics · Physics 2017-04-21 Rodolfo Ostilla-Mónico , Detlef Lohse , Roberto Verzicco

A three-dimensional numerical computation of magnetohydrodynamic dynamo behavior is described. The dynamo is mechanically forced with a driving term of the Taylor-Green type. The magnetic field development is followed from negligibly small…

Astrophysics · Physics 2007-05-23 P. D. Mininni , Y. Ponty , D. C. Montgomery , J. -F. Pinton , H. Politano , A. Pouquet

Direct numerical simulations of turbulent Taylor-Couette flow are performed up to inner cylinder Reynolds numbers of {Re_i=10^5} for a radius ratio of {\eta=r_i/r_o=0.714} between the inner and outer cylinder. With increasing {Re_i}, the…

This study is concerned with numerical linear stability analysis of liquid metal flow in a square duct with thin electrically conducting walls subject to a uniform transverse magnetic field. We derive an asymptotic solution for the base…

Fluid Dynamics · Physics 2016-01-27 Jānis Priede , Thomas Arlt , Leo Bühler

We analyze the stability of a cylindrical Couette flow under the imposition of a weak axial flow in case of a very short cylinder with a narrow annulus gap. We consider an incompressible viscous fluid which is contained in the narrow gap…

Fluid Dynamics · Physics 2007-05-23 L. A. Bordag , O. G. Chkhetiani , M. Froehner , V. Myrnyy

We calculate the mean electromotive force in plane Couette flows of a nonrotating conducting fluid under the influence of a large-scale magnetic field for driven turbulence. A vertical stratification of the turbulence intensity results in…

Solar and Stellar Astrophysics · Physics 2014-08-12 G. Ruediger , A. Brandenburg

The excitation conditions of the magnetorotational instability are studied for axially unbounded Taylor-Couette flows of various gap widths between the cylinders. The cylinders are considered as made from both perfect-conducting or…

Fluid Dynamics · Physics 2023-03-28 G. Rüdiger , M. Schultz

Torque measurements in Taylor-Couette flow, with large radius ratio and large aspect ratio, over a range of velocities up to a Reynolds number of 24 000 are presented. Following a specific procedure, nine states with distinct number of…

Fluid Dynamics · Physics 2025-05-13 B. Martínez-Arias , J. Peixinho , O. Crumeyrolle , I. Mutabazi

We numerically investigate the saturation of the hydromagnetic instabilities of a magnetized spherical Couette flow. Previous simulations [Hollerbach, 2009] demonstrated region where the axisymmetric flow, calculated from a 2-D simulation,…

Fluid Dynamics · Physics 2014-07-02 E. J. Kaplan

Since Taylor's seminal paper, the existence of large-scale quasi-axisymmetric structures has been a matter of interest when studying Taylor-Couette flow. In this manuscript, we probe their formation in the highly turbulent regime by…

Fluid Dynamics · Physics 2023-02-15 V. Jeganathan , K. Alba , R. Ostilla-Monico

We investigate the nonlinear instability of a smooth Rayleigh-Taylor steady-state solution (including the case of heavier density with increasing height) to the three-dimensional incompressible nonhomogeneous magnetohydrodynamic (MHD)…

Analysis of PDEs · Mathematics 2014-12-02 Fei Jiang , Song Jiang , Weiwei Wang

The effects of a vertical static magnetic field on the flow structure and global transport properties of momentum and heat in liquid metal Rayleigh-B\'enard convection are investigated. Experiments are conducted in a cylindrical convection…

Fluid Dynamics · Physics 2020-05-13 Till Zürner , Felix Schindler , Tobias Vogt , Sven Eckert , Jörg Schumacher

We study the three-dimensional incompressible magnetohydrodynamic (MHD) equations near Couette flow with a constant magnetic field perpendicular to the shear plane. Couette flow induces mixing and generates magnetic induction, while the…

Analysis of PDEs · Mathematics 2025-11-19 Niklas Knobel

Direct numerical simulations are performed to study turbulent Rayleigh-B\'{e}nard convection in a vertical cylindrical cavity with uniform axial magnetic field. Flows at high Hartmann and Rayleigh numbers are considered. The calculations…

Fluid Dynamics · Physics 2020-05-26 Ruslan Akhmedagaev , Oleg Zikanov , Dmitry Krasnov , Joerg Schumacher

In the VKS2 (von K\'arm\'an Sodium 2) successful dynamo experiment of September 2006, the magnetic field that was observed showed a strong axisymmetric component, implying that non axisymmetric components of the flow field were acting. By…

Fluid Dynamics · Physics 2009-11-13 R. Laguerre , C. Nore , A. Ribeiro , J. Léorat , J. -L. Guermond , F. Plunian

The DTS experiment is a spherical Couette flow experiment with an imposed dipolar magnetic field. Liquid sodium is used as a working fluid. In a series of measurement campaigns, we have obtained data on the mean axisymmetric velocity, the…

Fluid Dynamics · Physics 2015-06-11 Henri-Claude Nataf

In this paper, we consider the asymptotic stability of the 2D Taylor-Couette flow in the exterior disk, with a small kinematic viscosity $\nu \ll 1$ and a large rotation coefficient $|B|$. Due to the degeneracy of the Taylor-Couette flow at…

Analysis of PDEs · Mathematics 2025-03-27 Te Li , Ping Zhang , Yibin Zhang