HYDRODYNAMIC INSTABILITY OF ACCRETION FLOWS AND WIND FLOWS WITH STANDING SHOCK-WAVES

被引:29
作者
NAKAYAMA, K
机构
关键词
ACCRETION; ACCRETION DISKS; BLACK HOLE PHYSICS; INSTABILITIES; SHOCK WAVES; STARS; MASS-LOSS;
D O I
10.1093/mnras/259.2.259
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The hydrodynamic instability of isothermal, inviscid and axisymmetric accretion (and wind) flows with standing shock waves is studied against infinitesimal, isothermal and axisymmetric perturbations. The post-shock flow is assumed to be transonic so that accretion on to black holes can be treated. A global stability analysis shows that the value of an unperturbed quantity, nu = -(1/V)(dPHI(eff)/dr-c(s)2/r), at the post-shock side of the unperturbed shock location determines stability properties, where V, c(s) and PHI(eff) are, respectively, the radial flow velocity, the isothermal sound speed, and effective gravitational potential including the centrifugal force. If nu greater-than-or-equal-to 0 no unstable mode exists, in other words v < 0 is a necessary condition for axisymmetric instability. This criterion means that the flow may be unstable only when the fluid decelerates on the pre-shock side. It is found that the growth rates and frequencies of unstable modes are bounded by Absolute value of nu.
引用
收藏
页码:259 / 264
页数:6
相关论文
共 7 条
[1]   ROTATION-INDUCED BISTABILITY OF TRANSONIC ACCRETION ONTO A BLACK-HOLE [J].
ABRAMOWICZ, MA ;
ZUREK, WH .
ASTROPHYSICAL JOURNAL, 1981, 246 (01) :314-320
[3]   STANDING SHOCKS IN ISOTHERMAL ROTATING WINDS AND ACCRETION [J].
CHAKRABARTI, SK .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1989, 240 (01) :7-21
[4]  
CHAKRABARTI SK, 1990, MON NOT R ASTRON SOC, V243, P610
[5]  
FUKUE J, 1987, PUBL ASTRON SOC JPN, V39, P309
[6]   TRANSONIC DISK ACCRETION ONTO BLACK-HOLES [J].
LIANG, EPT ;
THOMPSON, KA .
ASTROPHYSICAL JOURNAL, 1980, 240 (01) :271-274
[7]  
Majda A, 1984, COMPRESSIBLE FLUID F