Linear Growth of Rayleigh-Taylor Instability of Two Finite-Thickness Fluid Layers

The linear growth of Ftayleigh-Taylor instability （FtTI） of two superimposed finite-thickness fluids in a gravita- tional field is investigated analytically. Coupling evolution equations for perturbation on the upper, middle and lower interfaces of the two stratified fluids are derived. The growth r...

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Published inChinese physics letters Vol. 34; no. 7; pp. 146 - 149
Main Author 郭宏宇 王立锋 叶文华 吴俊峰 张维岩
Format Journal Article
LanguageEnglish
Published 01.06.2017
Subjects
Taylor
两层流体
有限厚度
流体层
瑞利-泰勒不稳定性
界面扰动
线性
耦合方程
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Summary:The linear growth of Ftayleigh-Taylor instability （FtTI） of two superimposed finite-thickness fluids in a gravita- tional field is investigated analytically. Coupling evolution equations for perturbation on the upper, middle and lower interfaces of the two stratified fluids are derived. The growth rate of the RTI and the evolution of the amplitudes of perturbation on the three interfaces are obtained by solving the coupling equations. It is found that the finite-thickness fluids reduce the growth rate of perturbation on the middle interface. However, the finite-thickness effect plays an important role in perturbation growth even for the thin layers which will cause more severe RTI growth. Finally, the dependence of the interface position under different initial conditions are discussed in some detail.
Bibliography:11-1959/O4
The linear growth of Ftayleigh-Taylor instability （FtTI） of two superimposed finite-thickness fluids in a gravita- tional field is investigated analytically. Coupling evolution equations for perturbation on the upper, middle and lower interfaces of the two stratified fluids are derived. The growth rate of the RTI and the evolution of the amplitudes of perturbation on the three interfaces are obtained by solving the coupling equations. It is found that the finite-thickness fluids reduce the growth rate of perturbation on the middle interface. However, the finite-thickness effect plays an important role in perturbation growth even for the thin layers which will cause more severe RTI growth. Finally, the dependence of the interface position under different initial conditions are discussed in some detail.
Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3, Jun-Feng Wu2, Wei-Yan Zhang2 （1 Graduate School, China Academy of Engineering Physics, Beijing 100088 2Institute of Applied Physics and Computational Mathematics, Beijing 100094 3 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871）
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/34/7/075201