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Rotating waves (RW) bifurcating from the axisymmetric basic magnetized spherical Couette (MSC) flow are computed by means of Newton-Krylov continuation techniques for periodic orbits. In addition, their stability is analysed in the…

Fluid Dynamics · Physics 2019-03-06 Ferran Garcia , Frank Stefani

First results of a new spherical Couette experiment are presented. The liquid metal flow in a spherical shell is exposed to a homogeneous axial magnetic field. For a Reynolds number Re=1000, we study the effect of increasing Hartmann number…

Fluid Dynamics · Physics 2017-07-24 C. Kasprzyk , E. Kaplan , M. Seilmayer , F. Stefani

Several teams have reported peculiar frequency spectra for flows in a spherical shell. To address their origin, we perform numerical simulations of the spherical Couette flow in a dipolar magnetic field, in the configuration of the DTS…

Geophysics · Physics 2015-06-05 Aldo Figueroa , Nathanaël Schaeffer , Henri-Claude Nataf , Denys Schmitt

Direct numerical simulations of a liquid metal filling the gap between two concentric spheres are presented. The flow is governed by the interplay between the rotation of the inner sphere (measured by the Reynolds number Re) and a weak…

Fluid Dynamics · Physics 2023-07-26 Ferran Garcia , Martin Seilmayer , André Giesecke , Frank Stefani

The existence of triadic resonances in the magnetized spherical Couette system (MSC) is related to the development of modulated rotating waves, which are quasiperiodic flows understood in terms of bifurcation theory in systems with…

Fluid Dynamics · Physics 2021-11-03 Ferran Garcia , André Giesecke , Frank Stefani

We report 3D numerical simulations of the flow of an electrically conducting fluid in a spherical shell when a magnetic field is applied. Different spherical Couette configurations are investigated, by varying the rotation ratio between the…

Fluid Dynamics · Physics 2015-05-28 Christophe Gissinger , Hantao Ji , Jeremy Goodman

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

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…

Fluid Dynamics · Physics 2010-01-28 Rainer Hollerbach , Vijaya Teeluck , Gunther Rudiger

Flow between concentric spheres of radius ratio $\eta = r_\mathrm{i}/r_\mathrm{o} = 0.35$ is studied in a 3 m outer diameter experiment. We have measured the torques required to maintain constant boundary speeds as well as localized wall…

Fluid Dynamics · Physics 2011-07-27 Daniel S. Zimmerman , Santiago Andrés Triana , Daniel P. Lathrop

We present a study of inertial modes in a differentially rotating spherical shell (spherical Couette flow) experiment with a radius ratio of $\eta = 1/3$. Inertial modes are Coriolis-restored linear wave modes which often arise in rapidly…

Fluid Dynamics · Physics 2017-07-06 Michael Hoff , Uwe Harlander , Santiago A. Triana

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.…

Fluid Dynamics · Physics 2009-11-10 Akira Kageyama , Hantao Ji , Jeremy Goodman , Fei Chen , Ethan Shoshan

A recent paper [R. Hollerbach and G. Rudiger, Phys. Rev. Lett. 95, 124501 (2005)] has shown that the threshold for the onset of the magnetorotational instability (MRI) in a Taylor-Couette flow is dramatically reduced if both axial and…

This study presents numerical simulations and experiments considering the flow of an electrically conducting fluid inside a cube driven by a rotating magnetic field (RMF). The investigations are focused on the spin-up, where a liquid metal…

Fluid Dynamics · Physics 2017-11-22 V. Galindo , R. Nauber , D. Räbiger , S. Franke , H. Beyer , L. Büttner , J. Czarske , S. Eckert

We study magnetic Taylor-Couette flow in a system having nondimensional radii $r_i=1$ and $r_o=2$, and periodic in the axial direction with wavelengths $h\ge100$. The rotation ratio of the inner and outer cylinders is adjusted to be…

Fluid Dynamics · Physics 2017-06-07 Rainer Hollerbach , Nigel Sibanda , Eun-jin Kim

The stability problem of MHD Taylor-Couette flows with toroidal magnetic fields is considered in dependence on the magnetic Prandtl number. Only the most uniform (but not current-free) field with B\_in = B\_out has been considered. For high…

Astrophysics · Physics 2008-09-22 M. Gellert , G. Ruediger

We present measurements performed in a spherical shell filled with liquid sodium, where a 74 mm-radius inner sphere is rotated while a 210 mm-radius outer sphere is at rest. The inner sphere holds a dipolar magnetic field and acts as a…

In order to explore the magnetostrophic regime expected for planetary cores, experiments have been conducted in a rotating sphere filled with liquid sodium, with an imposed dipolar magnetic field (the DTS setup). The field is produced by a…

Flows between concentric, counter rotating spherical boundaries are under investigation in the gap with size equal to inner sphere radius. Outer sphere rotational rate is fixed, while inner sphere rotational rate has time periodic…

Fluid Dynamics · Physics 2015-06-15 Dmitry Zhilenko , Olga Krivonosova

The nonaxisymmetric azimuthal magnetorotational instability is studied for hydromagnetic Taylor-Couette flows between cylinders of finite electrical conductivity. We find that the magnetic Prandtl number Pm determines whether perfectly…

Fluid Dynamics · Physics 2018-10-10 Günther Rüdiger , Manfred Schultz , Frank Stefani , Rainer Hollerbach

We study the linear stability of the flow of a viscous electrically conducting capillary fluid on a planar fixed plate in the presence of gravity and a uniform magnetic field. We first confirm that the Squire transformation for MHD is…

Fluid Dynamics · Physics 2017-05-24 D. Giannakis , R. Rosner , P. Fischer
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