| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Rayleigh-Taylor instability at spherical interfaces of incompressible fluids |
| 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, Ying-Jun Li(李英骏)4, Wei-Yan Zhang(张维岩)2,3 |
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;
4. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China |
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Abstract Rayleigh-Taylor instability (RTI) of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.
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Received: 26 September 2017
Revised: 15 November 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, 11574390, and 11274026) and the National Basic Research Program of China (Grant Nos. 2013CB834100 and 2013CBA01504). |
Corresponding Authors:
Wen-Hua Ye, Ying-Jun Li
E-mail: ye_wenhua@iapcm.ac.cn;lyj@aphy.iphy.ac.cn
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| About author: 52.57.Fg; 47.20.Ma; 52.35.Py |
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), Ying-Jun Li(李英骏), Wei-Yan Zhang(张维岩) Rayleigh-Taylor instability at spherical interfaces of incompressible fluids 2018 Chin. Phys. B 27 025206
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