| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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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 |
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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.
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Received: 27 July 2017
Revised: 03 September 2017
Accepted manuscript online:
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PACS:
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52.57.Fg
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(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
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47.20.Ma
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(Interfacial instabilities (e.g., Rayleigh-Taylor))
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52.35.Py
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(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
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| Fund: 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). |
Corresponding Authors:
Li-Feng Wang, Li-Feng Wang
E-mail: wang_lifeng@iapcm.ac.cn;ye_wenhua@iapcm.ac.cn
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Cite this article:
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 2017 Chin. Phys. B 26 125202
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