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.

引用

页数：14

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