Weakly Nonlinear Rayleigh–Taylor Instability in Cylindrically Convergent Geometry

被引：0

作者：

郭宏宇 ^{[1
,2
]}

王立锋 ^{[2
,3
]}

叶文华 ^{[2
,3
]}

吴俊峰 ^{[2
]}

张维岩 ^{[2
]}

机构：

[1] Graduate School, China Academy of Engineering Physics

[2] Institute of Applied Physics and Computational Mathematics

[3] HEDPS, Center for Applied Physics and Technology, Peking

来源：

Chinese Physics Letters | 2018年 / 35卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O35 [流体力学];

学科分类号：

080103 ; 080704 ;

摘要：

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.

引用

页码：78 / 81

页数：4

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