| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Weakly Nonlinear Rayleigh–Taylor Instability in Cylindrically Convergent Geometry |
| Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3**, Jun-Feng Wu2, Wei-Yan Zhang2** |
1Graduate School, China Academy of Engineering Physics, Beijing 100088
2Institute of Applied Physics and Computational Mathematics, Beijing 100094
3HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871
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| Cite this article: |
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Hong-Yu Guo, Li-Feng Wang, Wen-Hua Ye et al 2018 Chin. Phys. Lett. 35 055201 |
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Abstract The Rayleigh–Taylor instability (RTI) in cylindrical geometry is investigated analytically through a second-order weakly nonlinear (WN) theory considering the Bell–Plesset (BP) effect. The governing equations for the combined perturbation growth are derived. The WN solutions for an exponentially convergent cylinder are obtained. It is found that the BP and RTI growths are strongly coupled, which results in the bubble-spike asymmetric structure in the WN stage. The large Atwood number leads to the large deformation of the convergent interface. The amplitude of the spike grows faster than that of the bubble especially for large mode number $m$ and large Atwood number $A$. The averaged interface radius is small for large mode number perturbation due to the mode-coupling effect.
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Received: 27 October 2017
Published: 30 April 2018
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| PACS: |
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: Supported by the National Natural Science Foundation of China under Grant Nos 11275031, 11475034, 11575033 and 11274026, and the National Basic Research Program of China under Grant No 2013CB834100. |
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