Weakly Nonlinear Rayleigh–Taylor Instability in Cylindrically Convergent Geometry  

作　　者：Hong-Yu Guo Li-Feng Wang Wen-Hua Ye Jun-Feng Wu Wei-Yan Zhang 郭宏宇;王立锋;叶文华;吴俊峰;张维岩(Graduate School,China Academy of Engineering Physics,Beijing 100088;Institute of Applied Physics and Computational Mathematics,Beijing 100094;HEDPS,Center for Applied Physics and Technology,Peking University,Beijing 100871)

机构地区：[1]Graduate School, China Academy of Engineering Physics, Beijing 100088 [2]Institute of Applied Physics and Computational Mathematics, Beijing 100094 [3]HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871

出　　处：《Chinese Physics Letters》2018年第5期65-68,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11275031,11475034,11575033 and 11274026;the National Basic Research Program of China under Grant No 2013CB834100

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.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.

关 键 词：RT In Taylor Instability in Cylindrically Convergent Geometry Weakly Nonlinear Rayleigh 

分 类 号：O35[理学—流体力学]