The Tayler instability of toroidal magnetic fields in a columnar gallium experiment
The Tayler instability of toroidal magnetic fields in a columnar gallium experiment
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柱状镓实验中环形磁场的泰勒不稳定性
DOI：
10.1002/asna.201011482
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发表时间：
2011
影响因子：
0.9
通讯作者：
Gellert
中科院分区：
文献类型：
--
作者：
Rüdiger;Schultz;Gellert
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 that the limit ofRin→ 0 can be computed. The magnetic Prandtl number is varied over many orders of magnitudes but the azimuthal mode number of the perturbations is fixed tom= 1. In the linear approximation the critical magnetic field amplitudes and the growth rates of the instability are determined for both resting and rotating cylinders. Without rotation the critical Hartmann numbers donotdepend on the magnetic Prandtl number but this is not true for the corresponding growth rates. For given product of viscosity and magnetic diffusivity the growth rates for small and large magnetic Prandtl number are much smaller than those for Pm = 1. For gallium under the influence of a magnetic field at the outer cylinder of 1 kG the resulting growth time is 5 s. The minimum electric current through a container of 10 cm diameter to excite the instability is 3.20 kA. For a rotating container both the critical magnetic field and the related growth times are larger than for the resting column (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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DOI：
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发表时间：
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期刊：
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