Growth of the Rayleigh-Taylor instability in an imploding Z-pinch

被引:32
作者
DeGroot, JS
Toor, A
Golberg, SM
Liberman, MA
机构
[1] UNIV UPPSALA, DEPT PHYS, S-75121 UPPSALA, SWEDEN
[2] PL KAPITZA PHYS PROBLEMS INST, MOSCOW 117334, RUSSIA
关键词
D O I
10.1063/1.872168
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Rayleigh-Taylor (RT) instability of cylindrical, imploding plasma Liners in a Z-pinch is analysed. The reduction in total perturbation growth for multicascade systems (multiple imploding shells) is presented. This reduction is effective if the pressure produced by the impacting shell exceeds the magnetic pressure at the time of impact. Analytical and numerical solutions are also obtained for the RT instability of an imploding plasma liner accelerated into undisturbed plasma. The snowplow model is used in which the mass encountered by the imploding magnetic piston is swept into an infinitely thin sheath. A shock front launched ahead of the liner is shown to reduce the growth rate. It is also shown that accumulating the mass increases the growth rate. However, the total perturbation growth can be reduced if the liner accumulates the mass during the implosion compared to a liner with the same mass imploding into vacuum. Finally, it is shown that the final kinetic energy density for a given shell nonuniformity is largest if the final liner mass is accumulated during the implosion. (C) 1997 American Institute of Physics.
引用
收藏
页码:737 / 747
页数:11
相关论文
共 31 条
[1]  
Baksht R. B., 1987, Soviet Physics - Technical Physics, V32, P145
[2]  
BAKSHT RB, 1991, ZH TEKH FIZ+, V61, P37
[3]  
BAKSHT RB, 1994, AIP CONF PROC, P365, DOI 10.1063/1.2949179
[4]  
BAKSHT RB, 1994, IEEE C REC ABSTR 21, P149
[5]  
BAKSHT RB, 1992, SOV PHYS-TECH PHYS, V62, P87
[6]   EFFECT OF COMPRESSIBILITY ON THE RAYLEIGH-TAYLOR INSTABILITY [J].
BERNSTEIN, IB ;
BOOK, DL .
PHYSICS OF FLUIDS, 1983, 26 (02) :453-458
[7]   Suppression of the Rayleigh-Taylor instability through accretion [J].
Book, DL .
PHYSICS OF PLASMAS, 1996, 3 (01) :354-359
[8]   STABILITY ANALYSIS OF DYNAMIC Z-PINCHES AND THETA-PINCHES [J].
BUDKO, AB ;
FELBER, FS ;
KLEEV, AI ;
LIBERMAN, MA ;
VELIKOVICH, AL .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1989, 1 (03) :598-607
[9]   SUPPRESSION OF RAYLEIGH-TAYLOR AND BULK CONVECTIVE INSTABILITIES IN IMPLODING PLASMA LINERS AND PINCHES [J].
BUDKO, AB ;
LIBERMAN, MA ;
VELIKOVICH, AL ;
FELBER, FS .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1990, 2 (06) :1159-1169
[10]   STABILIZATION OF THE RAYLEIGH-TAYLOR INSTABILITY BY CONVECTION IN SMOOTH DENSITY GRADIENT - WENTZEL-KRAMERS-BRILLOUIN ANALYSIS [J].
BUDKO, AB ;
LIBERMAN, MA .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1992, 4 (11) :3499-3506