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Recent experiments have shown that it is possible to study a fundamental astrophysical process such as dynamo action in controlled laboratory conditions using simple MHD flows. In this paper we explore the possibility that Taylor-Couette…

天体物理学 · 物理学 2009-11-07 Ashley P. Willis , Carlo F. Barenghi

We present a new scenario for magnetic field amplification where an electrically conducting fluid is confined in a differentially rotating, spherical shell with thin aspect-ratio. When the angular momentum sufficiently decreases outwards,…

流体动力学 · 物理学 2016-06-14 Florence Marcotte , Christophe Gissinger

The generation of magnetic field in an electrically conducting fluid generally involves the complicated nonlinear interaction of flow turbulence, rotation and field. This dynamo process is of great importance in geophysics, planetary…

流体动力学 · 物理学 2021-10-04 Steven Tobias

We reveal a nonlinear magnetic dynamo in a Taylor-Couette flow at small magnetic Prandtl numbers $Pm\leq 1$, which has been previously believed to exist only at higher $Pm\gtrsim 10$ in this flow. The amplitude of initial perturbations,…

流体动力学 · 物理学 2025-08-26 A. Mishra , G. Mamatsashvili , F. Stefani

We numerically compute the flow of an electrically conducting fluid in a Taylor-Couette geometry where the rotation rates of the inner and outer cylinders satisfy $\Omega_o/\Omega_i=(r_o/r_i)^{-3/2}$. In this quasi-Keplerian regime a…

流体动力学 · 物理学 2017-10-25 Anna Guseva , Rainer Hollerbach , Ashley P. Willis , Marc Avila

We consider the classical problem of kinematic dynamo action in simple steady flows. Due to the adjointness of the induction operator, we show that the growth rate of the dynamo will be exactly the same for two types of magnetic boundary…

流体动力学 · 物理学 2013-09-25 B. Favier , M. R. E. Proctor

A conducting Taylor-Couette flow with quasi-Keplerian rotation law containing a toroidal magnetic field serves as a mean-field dynamo model of the Tayler-Spruit-type. The flows are unstable against nonaxisymmetric perturbations which form…

太阳与恒星天体物理 · 物理学 2020-02-12 G. Rüdiger , M. Schultz

It is numerically demonstrated by means of a magnetohydrodynamics code that a short Taylor-Couette setup with a body force can sustain dynamo action. The magnetic threshold is comparable to what is usually obtained in spherical geometries.…

数值分析 · 数学 2015-06-04 C. Nore , J. -L. Guermond , R. Laguerre , J. Leorat , F. Luddens

We consider a fluid dynamo model generated by the flow on both sides of a moving layer. The magnetic permeability of the layer is larger than that of the flow. We show that there exists an optimum value of magnetic permeability for which…

流体动力学 · 物理学 2014-11-04 Johann Herault , François Pétrélis

The effect on dynamo action of an anisotropic electrical conductivity conjugated to an anisotropic magnetic permeability is considered. Not only is the dynamo fully axisymmetric, but it requires only a simple differential rotation, which…

等离子体物理 · 物理学 2021-02-09 Franck Plunian , Thierry Alboussière

The $\Omega$-phase of the liquid sodium $\alpha$-$\Omega$ dynamo experiment at NMIMT in cooperation with LANL has successfully demonstrated the production of a high toroidal field, $B_{\phi} \simeq 8\times B_r$ from the radial component of…

We consider the generation of magnetic field by the flow of a fluid for which the electrical conductivity is nonuniform. A new amplification mechanism is found which leads to dynamo action for flows much simpler than those considered so…

流体动力学 · 物理学 2016-05-04 Francois Petrelis , Alexandros Alexakis , Christophe Gissinger

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 transition to intermittent mean--field dynamos is studied using numerical simulations of isotropic magnetohydrodynamic turbulence driven by a helical flow. The low-Prandtl number regime is investigated by keeping the kinematic viscosity…

太阳与恒星天体物理 · 物理学 2015-05-13 Erico L. Rempel , Michael R. E. Proctor , Abraham C. -L. Chian

The turbulent dynamo effect, which describes the generation of magnetic fields in astrophysical objects, is described by the dynamo equation. This, in the kinematic (linear) approximation gives an unbounded exponential growth of the long…

混沌动力学 · 物理学 2007-05-23 Abhik Basu

The kinematic dynamo problem is investigated for the flow of a conducting fluid in a cylindrical, periodic tube with conducting walls. The methods used are an eigenvalue analysis of the steady regime, and the three-dimensional solution of…

天体物理学 · 物理学 2009-11-07 Wolfgang Dobler , Peter Frick , Rodion Stepanov

Magnetic fields of planets, stars and galaxies are generated by self-excitation in moving electrically conducting fluids. Once produced, magnetic fields can play an active role in cosmic structure formation by destabilizing rotational flows…

流体动力学 · 物理学 2018-03-12 F. Stefani , A. Gailitis , G. Gerbeth , A. Giesecke. Th. Gundrum , G. Ruediger , M. Seilmayer , T. Vogt

Using direct simulations, weakly nonlinear theory and nonlinear mean-field theory, it is shown that the quenched velocity field of a saturated nonlinear dynamo can itself act as a kinematic dynamo. The flow is driven by a forcing function…

天体物理学 · 物理学 2008-11-21 Andreas Tilgner , Axel Brandenburg

Astrophysical and geophysical fluids commonly generate organized magnetic fields, despite having enormous magnetic Reynolds numbers $\rm{Rm}$ and abundant small-scale turbulence. Flow-induced dynamo action produces these fields, with the…

The paper deals with a simple spherical mean-field dynamo model of $\alpha^2$-type in the case of high electrical conductivity. A spherically symmetric distribution of turbulent motions is assumed inside a spherical fluid body surrounded by…

天体物理学 · 物理学 2007-05-23 K. -H. Raedler , U. Geppert
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