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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

The linear marginal instability of an MHD Taylor-Couette flow of infinite vertical extension is considered. For hydrodynamically unstable flows the minimum Reynolds number exists even without a magnetic field, but there are also solutions…

天体物理学 · 物理学 2016-08-16 G. Rüdiger

The linear stability of MHD Taylor-Couette flow of infinite vertical extension is considered for various magnetic Prandtl numbers Pm. The calculations are performed for a wide gap container with \hat\eta=0.5 with an axial uniform magnetic…

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

The linear stability of MHD Taylor-Couette flow of infinite vertical extension is considered for liquid sodium with its small magnetic Prandtl number Pm of order of 10^-5 and an uniform axial magnetic field. The sign of the constant a in…

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

We study the stability of cylindrical Taylor-Couette flow in the presence of combined axial and azimuthal magnetic fields, and show that adding an azimuthal field profoundly alters the previous results for purely axial fields. For small…

天体物理学 · 物理学 2009-11-13 R. Hollerbach , G. Ruediger

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…

天体物理学 · 物理学 2009-11-06 G. Rüdiger , Y. Zhang

Decades ago S. Lundquist, S. Chandrasekhar, P.H. Roberts and R. J.~Tayler first posed questions about the stability of Taylor-Couette flows of conducting material under the influence of large-scale magnetic fields. These and many new…

等离子体物理 · 物理学 2018-05-23 Günther Rüdiger , Marcus Gellert , Rainer Hollerbach , Manfred Schultz , Frank Stefani

We consider the linear stability of dissipative MHD Taylor-Couette flow with imposed toroidal magnetic fields. The inner and outer cylinders can be either insulating or conducting; the inner one rotates, the outer one is stationary. The…

天体物理学 · 物理学 2009-11-11 G. Ruediger , M. Schultz , D. Shalybkov , R. Hollerbach

The instability of a supercritical Taylor-Couette flow of a conducting fluid with resting outer cylinder under the influence of a uniform axial electric current is investigated for magnetic Prandtl number Pm=1. In the linear theory the…

流体动力学 · 物理学 2015-01-16 M. Gellert , G. Rüdiger

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

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…

流体动力学 · 物理学 2018-10-10 Günther Rüdiger , Manfred Schultz , Frank Stefani , Rainer Hollerbach

We study the magnetorotational instability in cylindrical Taylor-Couette flow, with the (vertically unbounded) cylinders taken to be perfect conductors, and with externally imposed spiral magnetic fields. The azimuthal component of this…

天体物理学 · 物理学 2009-11-11 G. Ruediger , R. Hollerbach , M. Schultz , D. A. Shalybkov

The Tayler instability of an azimuthal magnetic field with one or two ``rings'' along the radius is studied for an axially unbounded Taylor-Couette flow. The rotation law of the conducting fluid is a quasi-Keplerian one. Without rotation…

太阳与恒星天体物理 · 物理学 2025-03-18 Günther Rüdiger , Manfred Schultz

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…

流体动力学 · 物理学 2023-03-28 G. Rüdiger , M. Schultz

The nonaxisymmetric Tayler instability of toroidal magnetic fields due to axial electric currents is studied for conducting incompressible fluids between two coaxial cylinders without endplates. The inner cylinder is considered as so thin…

太阳与恒星天体物理 · 物理学 2015-05-20 G. Ruediger , M. Schultz , M. Gellert

We consider the nonaxisymmetric modes of instability present in Taylor-Couette flow under the application of helical magnetic fields, mainly for magnetic Prandtl numbers close to the inductionless limit, and conduct a full examination of…

流体动力学 · 物理学 2015-10-28 Adam Child , Evy Kersalé , Rainer Hollerbach

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…

天体物理学 · 物理学 2008-09-22 M. Gellert , G. Ruediger

The magnetorotational instability (MRI) in cylindrical Taylor-Couette flow with external helical magnetic field is simulated for infinite and finite aspect ratios. We solve the MHD equations in their small Prandtl number limit and confirm…

天体物理学 · 物理学 2008-11-26 Jacek Szklarski , Günther Rüdiger

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…

流体动力学 · 物理学 2019-12-02 Konstantin Ilin , Andrey Morgulis

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…

天体物理学 · 物理学 2007-05-23 Guenther Ruediger
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