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

作　　者：郭宏宇 王立锋 叶文华 吴俊峰 张维岩 

机构地区：[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

出　　处：《Chinese Physics B》2017年第12期371-376,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11275031,11475034,11575033,and 11274026);the National Basic Research Program of China(Grant No.2013CB834100)

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.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 

分 类 号：O35[理学—流体力学]