Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry

doi:10.1088/1674-1056/26/12/125202

中国物理B ›› 2017, Vol. 26 ›› Issue (12): 125202-125202.doi: 10.1088/1674-1056/26/12/125202

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry

Hong-Yu Guo(郭宏宇), Li-Feng Wang(王立锋), Wen-Hua Ye(叶文华), Jun-Feng Wu(吴俊峰), Wei-Yan Zhang(张维岩)

1. Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3. HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China

收稿日期:2017-07-27 修回日期:2017-09-03 出版日期:2017-12-05 发布日期:2017-12-05
通讯作者: Li-Feng Wang, Li-Feng Wang E-mail:wang_lifeng@iapcm.ac.cn;ye_wenhua@iapcm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, and 11274026) and the National Basic Research Program of China (Grant No. 2013CB834100).

Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry

Hong-Yu Guo(郭宏宇)^1,2, Li-Feng Wang(王立锋)^2,3, Wen-Hua Ye(叶文华)^2,3, Jun-Feng Wu(吴俊峰)², Wei-Yan Zhang(张维岩)²

1. Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3. HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China

Received:2017-07-27 Revised:2017-09-03 Online:2017-12-05 Published:2017-12-05
Contact: Li-Feng Wang, Li-Feng Wang E-mail:wang_lifeng@iapcm.ac.cn;ye_wenhua@iapcm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, and 11274026) and the National Basic Research Program of China (Grant No. 2013CB834100).

摘要/Abstract

摘要： Rayleigh-Taylor instability of three fluid layers with two interfaces in cylindrical geometry is investigated analytically. The growth rates and the amplitudes of perturbation on the two interfaces are obtained. The feedback factor from outer to inner interface is larger than that from inner to outer interface under the same conditions. The growth rate on the initially unstable interface is larger than the corresponding result in planar geometry for low mode perturbation. The two interfaces are decoupled for a larger mode number perturbation. The dependencies of the amplitudes of perturbation on different initial conditions are analyzed. The negative feedback effect from initially stable interface to another unstable interface is observed. In the limit of infinity inner radius and finite shell thickness, the results in planar geometry are recovered.

关键词: Rayleigh-Taylor instability, cylindrical geometry, inertial-confinement fusion implosions

Abstract: Rayleigh-Taylor instability of three fluid layers with two interfaces in cylindrical geometry is investigated analytically. The growth rates and the amplitudes of perturbation on the two interfaces are obtained. The feedback factor from outer to inner interface is larger than that from inner to outer interface under the same conditions. The growth rate on the initially unstable interface is larger than the corresponding result in planar geometry for low mode perturbation. The two interfaces are decoupled for a larger mode number perturbation. The dependencies of the amplitudes of perturbation on different initial conditions are analyzed. The negative feedback effect from initially stable interface to another unstable interface is observed. In the limit of infinity inner radius and finite shell thickness, the results in planar geometry are recovered.

Key words: Rayleigh-Taylor instability, cylindrical geometry, inertial-confinement fusion implosions

中图分类号: (Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))

52.57.Fg

47.20.Ma (Interfacial instabilities (e.g., Rayleigh-Taylor)) 52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))

郭宏宇, 王立锋, 叶文华, 吴俊峰, 张维岩. Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry[J]. 中国物理B, 2017, 26(12): 125202-125202.

Hong-Yu Guo(郭宏宇), Li-Feng Wang(王立锋), Wen-Hua Ye(叶文华), Jun-Feng Wu(吴俊峰), Wei-Yan Zhang(张维岩). Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry[J]. Chin. Phys. B, 2017, 26(12): 125202-125202.

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Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry

Rayleigh-Taylor instability of multi-fluid layers in cylindrical geometry

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