轴向剪切流对Z箍缩等离子体瑞利-泰勒不稳定性的抑制

核聚变与等离子体物理 ›› 2005, Vol. 25 ›› Issue (1): 15-21.

轴向剪切流对Z箍缩等离子体瑞利-泰勒不稳定性的抑制

张扬1,丁宁2

(1中国工程物理研究院研究生部,北京100088;2.北京应用物理与计算数学研究所,北京100088)

收稿日期:2004-07-05 修回日期:2005-11-15 出版日期:2005-03-15 发布日期:2024-09-06
作者简介:张扬(1980-),男,中国工程物理研究院在读研究生,从事等离子体物理研究。
基金资助:
国家自然科学基金资助项目(10035030,10375010)

The mitigation effect of sheared axial flow on the Rayleigh-Taylor instability in Z-pinch plasma

ZHANG Yang1,DING Ning2

(1.Graduat School of China Academy of Engineering Physics,Beijing 100088; 2.Institute of Applied Physics and Computational Mathematics,Beijing 100088)

Received:2004-07-05 Revised:2005-11-15 Online:2005-03-15 Published:2024-09-06

摘要/Abstract

摘要：

利用理想磁流体力学模型对有轴向剪切流的Z箍缩等离子体不稳定性进行了分析。给出了可压缩模型的色散关系,分别对可压缩及不可压缩模型中轴向剪切流对Z箍缩等离子体瑞利-泰勒不稳定性的抑制作用进行了比较,讨论了可压缩性对含有轴向剪切流系统不稳定性的影响。结果表明,可压缩性能够减缓瑞利-泰勒P凯尔文-亥姆霍兹(RTPKH)模扰动的增长,因而使得轴向剪切流对系统不稳定性的抑制作用表现得更为突出。计算结果还说明,在RT不稳定性线性增长阶段,等离子体温度较低,使用可压缩模型能够更真实地描述系统的状态。

关键词: Z箍缩, 瑞利-泰勒不稳定性, 轴向剪切流, MHD方程

Abstract:

A magnetohydrodynamic formulation is derived to investigate the mitigation effects of the sheared axial flow on the Rayleigh-Taylor (RT) instability in Z-pinch plasma.The dispersion relation of the compressible model is given. The mitigation effects of sheared axial flow on the Rayleigh-Taylor instability of Z-pinch plasma in the compressible and incompressible models are compared respectively,and the effect of compressible on the instability of system with sheared axial flow is discussed.It is found that,compressibility effects can stabilize the Rayleigh-TaylorPKelvin-Helmholtz (RTP KH) instability,and this allows the sheared axial flowmitigate the RT instability far more effectively.We also find that, at the early stage of the implosion,if the temperature of the plasma is not very high,the compressible model is much more suitable to describing the state of system than the incompressible one.

Key words: Z-pinch, Rayleigh-Taylor instability, Sheared axial flow, MHD formulation

中图分类号:

张扬1,丁宁2. 轴向剪切流对Z箍缩等离子体瑞利-泰勒不稳定性的抑制[J]. 核聚变与等离子体物理, 2005, 25(1): 15-21.

ZHANG Yang1,DINGNing2. The mitigation effect of sheared axial flow on the Rayleigh-Taylor instability in Z-pinch plasma[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2005, 25(1): 15-21.

参考文献

[1] Sanfrd T W L. Improved symmetry greatly increases X-ray powerfromwire-array Z-pinches [J].Phys.Rev.Lett.,1996,77(25):5063.
[2] Yonas G.Fusion and the Z pinch [J].Scientific American,1998,8:23.第1期张扬等:轴向剪切流对Z箍缩等离子体瑞利-泰勒不稳定性的抑制 21
[3] Ryutov D D. The physics of fast Z pinches [J].Rev.Mod.Phys.,2000,72(1): 167.
[4] Lebedev S V. Effect of discrete wires on the imploding dynamics of wire array Z pinches [J].Phys.Plasmas ,2001, 8(8):3734.
[5] Haines MG. The past,present,and future of Z pinches [J].Phys.Plasmas, 2000,7(5):1672.
[6] 杨震华,田世洪,武玉璞.脉冲强电流Z箍缩等离子体的理论研究[J].计算物理,1998,15(1):43.
[7] Roderick NF,HusseyTW,Faehl R J,et al. Two-dimensional simulation of the hydromagnetic Rayleigh-Taylor instability in an imploding foil plasmas [J]. Appl.Phys.Lett.,1978,32(5):273.
[8] Hussey TW,RoderickNF,Kloc DA. Scaling of (MHD) instabilities in imploding plasma liners [J]. J.Appl.Phys.,1980,51(3):1452.
[9] Kubes P,Kravarik J,Hakr J,et al. Stable structure in the interrupted Z-pinch [J].IEEE Trans. Plasma Sci.,1994,22(5):986.
[10] Shumlak U, Nelson B A. Sheared flow stabilization experiments in the Zap flow Z pinch [J].Phys. Plasmas,2003,10(5):1683.
[11] ArberT D,Howell D F. The effect of sheared axial flow on the linear stability of the Z-pinch [J].Phys.Plasmas,1996,3(2):554.
[12] ShumiakU,Roderick NF. Mitigation of the Rayleigh-Taylor instability by sheared axial flows [J].Phys.Plasmas,1998,5(6):2384.
[13] QIU Xiao-Ming. Comparison between mitigation effects of the finite larmor radius and sheared axial flow on Rayleigh-Taylor instability in Z-pinch implosions [J].Plasma Sci. &Tech.,2002,4(2):1429.
[14] Ong R S R, RoderickN. On the Kelvin-Helmholtz instability of the Earthcs magnetopause [J].Planet.Space Sci.,1972,20(1):1.
[15] Matzen M K. Z pinches as intense X-ray sources for high energy density physics applications [J]. Phys. Plasmas,1997,4(5):1519.
[16] DeGroot J S. Growth of the Rayleigh-Taylor instability in an imploding Z-pinch [J].Phys. Plasmas,1997,4(3):737.
[17] Haines M G. A heuristic model of the wire array Z-pinch[J].IEEETrans. Plasma Sci.,1998,26(4):1275.
[18] Sanford T W I. Improved symmetry greatly increases X-ray power from wire-array Z-pinches [J].Phys. Rev. Lett.,1996,77:5063.
[19] Tayler R J. Hydromagnetic instabilities of an ideally conducting fluid [J].Phys. Plasmas,1957,70(1):31.