Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches

核聚变与等离子体物理 ›› 2007, Vol. 27 ›› Issue (2): 87-94.

Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches

HUANG Lin, JIAN Guang-de, QIU Xiao-ming

(Southwestern Institute of Physics, Chengdu 610041)

收稿日期:2006-09-04 修回日期:2007-03-09 出版日期:2007-06-15 发布日期:2011-08-23
作者简介:HUANG Lin(1940-), male, Professor. Born in Sichuan Province. Graduated from Department of Physics, Peking University, in 1966, majoring in theoretic physics.

Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches

HUANG Lin, JIAN Guang-de, QIU Xiao-ming

(Southwestern Institute of Physics, Chengdu 610041)

Received:2006-09-04 Revised:2007-03-09 Online:2007-06-15 Published:2011-08-23
About author:HUANG Lin(1940-), male, Professor. Born in Sichuan Province. Graduated from Department of Physics, Peking University, in 1966, majoring in theoretic physics.

摘要/Abstract

摘要：

利用SHML模型计算了密度为ρ=1g?cm^-3、温度为150eV、200eV、250eV、300eV、400eV的Sn等离子体的随光子能量变化的辐射不透明度及Rosseland平均不透明度。分析了不透明度随光子能量变化曲线的吸收峰值(不透明度峰值)与能级跃迁的对应关系。还将Sn的Rosseland平均不透明度与DCA/UTA及STA模型计算结果作了比较，吻合较好。

关键词: Rayleigh-Taylor instability, Synergistic effect, Finite Larmor radius, Growth rate

Abstract:

The synergistic stabilizing effect of gyroviscosity and sheared axial flow on the Rayleigh-Taylor instability in Z-pinch implosions is studied by means of the incompressible viscid magneto-hydrodynamic equations. The gyroviscosity (or finite Larmor radius) effects are introduced in the momentum equation through an anisotropic ion stress tensor. Dispersion relation with the effect of a density discontinuity is derived. The results indicate that the short-wavelength modes of the Rayleigh-Taylor instability are easily stabilized by the gyroviscosity effects. The long wavelength modes are stabilized by the sufficient sheared axial flow. However, the synergistic effects of the finite Larmor radius and sheared axial flow can heavily mitigate the Rayleigh-Taylor instability. This synergistic effect can compress the Rayleigh-Taylor instability to a narrow wave number region. Even with a sufficient gyroviscosity and large enough flow velocity, the synergistic effect can completely suppressed the Rayleigh-Taylor instability in whole wave number region.

Key words: Rayleigh-Taylor instability, Synergistic effect, Finite Larmor radius, Growth rate

中图分类号:

TL 61+2.2

HUANG Lin, JIAN Guang-de, QIU Xiao-ming. Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches[J]. 核聚变与等离子体物理, 2007, 27(2): 87-94.

HUANG Lin, JIAN Guang-de, QIU Xiao-ming. Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2007, 27(2): 87-94.

参考文献

[1] Groot J S De, Toor A, Golberg S M, et al. Growth of the Rayleigh-Taylor instability in an imploding Z-pinch[J]. Phys. Plasmas, 1997, 4: 737.

[2] Haines M G. A heuristic model of the wire array Z-pinch[J]. IEEE Trans. on Plasma Science, 1998, 26: 1275.

[3] Cochran F L, Davis J, Velikovich A L. Stability and radiative performance of structured Z-pinch loads imploded on high-current pulsed power generators[J]. Phys. Plasmas, 1995, 2: 2765.

[4] Matzen M Keith. Z pinches as intense X-ray sources for high-energy density physics applications[J]. Phys. Plasmas, 1997, 4: 1519.

[5] Sanford T W L, Allshouse G O, Marder B M, et al. Improved symmetry greatly increases X-ray power from wire-array Z-pinches[J]. Phys. Rev. Lett., 1996, 77: 5063.

[6] Wright R J, Pott D F R, Haines M G. Stability consider- ations of a hot cylindrical pinch[J]. Plasma Phys., 1976, 18: 1.

[7] Arber T D, Howell D F. The effect of sheared axial flow on the linear stability of the Z-pinch[J]. Phys. Plasmas, 1996, 3: 554.

[8] Shumlak U, Hartman C W. Sheared flow stabilization of the m = 1 kink mode in Z pinches[J]. Phys. Rev. Lett., 1995, 75: 3285.

[9] Shumlak U, Roderick N F. Mitigation of the Rayleigh- Taylor instability by sheared axial flows[J]. Phys. Plasmas, 1998, 5: 2384.

[10] Ruden E L. Rayleigh-Taylor instability with a sheared flow boundary layer[J]. IEEE Trans. on Plasma Science, 2002, 30: 611.

[11] Arber T D, Coppins M, Scheffel J. Large Larmor radius stability of the Z pinch[J]. Phys. Rev. Lett., 1994, 72: 2399.

[12] Arber T D, Russell P G F, Coppins M, et al. Linear stability of the high temperature, dense Z pinch[J]. Phys. Rev. Lett., 1995, 74: 2698.

[13] Arber T D. Hybrid simulation of the nonlinear evolution of a collisionless, large larmor radius Z pinch[J]. Phys. Rev. Lett., 1996, 77: 1766.

[14] Russell P G F, Arber T D, Coppines M, et al. Linear stability of the collisionless, large Larmor radius Z-pinch[J]. Phys. Plasmas, 1997, 4: 2322.

[15] Ganguli G. Stability of an inhomogeneous transverse plasma flow[J]. Phys. Plasma, 1997, 4: 1544.

[16] Qiu X M, Huang L, Jian G. D. Synergistic mitigation of the Rayleigh-Taylor instability in Z-pinch implosions by sheared axial flow and finite Larmor radius effect[J]. Phys. Plasmas, 2003, 10: 2956.

[17] Douglas M R, Deeney C, Roderick N F. Effect of sheath curvature on Rayleigh-Taylor mitigation in high-velocity uniform-fill, Z-pinch implosions[J]. Phys. Rev. Lett., 1997, 78: 4577.

[18] Ryutov D D. Rayleigh-Taylor instability in a finely structured medium[J]. Phys. Plasmas, 1996, 3: 4336.

[19] Ruden E L. The polarity dependent effect of gyro- viscosity on the flow shear stabilized Rayleigh- Taylor instability and an application to the plasma focus[J]. Phys. Plasmas, 2004, 11: 713.

[20] Roberts K V, Taylor J B. Magnetohydrodynamic equations for finite Larmor radius[J]. Phys. Rev. Lett., 1962, 8: 197.

[21] Hazeltine R D, Meiss J D. Plasma confinement[M]. Addision-Wesley, Redwood, CA, 1992.

[22] Huba J D. Finite Larmor radius magnetohydrodynamics of the Rayleigh-Taylor instability[J]. Phys. Plasmas, 1996, 3: 2523.

Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches

Suppression of Rayleigh-Taylor instability by gyroviscosity and sheared axial flow in imploding plasma pinches

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics