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

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 oute...

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Published inChinese physics B Vol. 26; no. 12; pp. 371 - 376
Main Author 郭宏宇;王立锋;叶文华;吴俊峰;张维岩
Format Journal Article
LanguageEnglish
Published 01.12.2017
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/26/12/125202

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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.
AbstractList 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.
Author 郭宏宇;王立锋;叶文华;吴俊峰;张维岩
AuthorAffiliation Graduate School, China Academy of Engineering Physics, Beijing 100088, China;Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China
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Cites_doi 10.1103/RevModPhys.78.755
10.1063/1.4904210
10.1103/PhysRevLett.48.1365
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10.1103/PhysRevA.26.2140
10.1063/1.4928088
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10.1063/1.4904363
10.1007/s11433-017-9016-x
10.1103/PhysRevLett.78.3876
10.1103/PhysRevA.28.1637
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Notes Rayleigh-Taylor instability; cylindrical geometry; inertial-confinement fusion implosions
Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3, Jun-Feng Wu2, Wei-Yan Zhang2（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）
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.
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