Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence

被引：4
|
作者：
Kirillov, Oleg N. [1 ]
Stefani, Frank [1 ]
Fukumoto, Yasuhide [2 ]
机构：
[1] Helmholtz Zentrum Dresden Rossendorf, POB 510119, D-01314 Dresden, Germany
[2] Kyushu Univ, Inst Math Ind, Nishi Ku, Fukuoka 8190395, Japan
来源：
FLUID DYNAMICS RESEARCH | 2014年 / 46卷 / 03期
关键词：
MAGNETOROTATIONAL INSTABILITY; ACCRETION DISKS; STABILITY; CYLINDERS; EQUATIONS;
D O I：
10.1088/0169-5983/46/3/031403
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Using the Wentzel-Kramers-rillouin (WKB) approximation we perform a linear stability analysis for a rotational flow of a viscous and electrically conducting fluid in an external azimuthal magnetic field that has an arbitrary radial profile B-phi(R). In the inductionless approximation, we find the growth rate of the three-dimensional perturbation in a closed form and demonstrate in particular that it can be positive when the velocity profile is Keplerian and the magnetic field profile is slightly shallower than R-1.
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收藏
页数：14
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