Effect of initial phase on the Rayleigh—Taylor instability of a finite-thickness fluid shell
Hong-Yu Guo(郭宏宇)1,2,†, Tao Cheng(程涛)1,2, Jing Li(李景)3, and Ying-Jun Li(李英骏)1,2,‡
1 State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China; 2 School of Science, China University of Mining and Technology, Beijing 100083, China; 3 Beijing Aeronautical Technology Research Center, Beijing 100076, China
Abstract Rayleigh—Taylor instability (RTI) of finite-thickness shell plays an important role in deep understanding the characteristics of shell deformation and material mixing. The RTI of a finite-thickness fluid layer is studied analytically considering an arbitrary perturbation phase difference on the two interfaces of the shell. The third-order weakly nonlinear (WN) solutions for RTI are derived. It is found the main feature (bubble-spike structure) of the interface is not affected by phase difference. However, the positions of bubble and spike are sensitive to the initial phase difference, especially for a thin shell (kd<1), which will be detrimental to the integrity of the shell. Furthermore, the larger phase difference results in much more serious RTI growth, significant shell deformation can be obtained in the WN stage for perturbations with large phase difference. Therefore, it should be considered in applications where the interface coupling and perturbation phase effects are important, such as inertial confinement fusion.
Fund: Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 2021YQLX05), the National Natural Science Foundation of China (Grant No. 11974419), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDA 25051000).
Corresponding Authors:
Hong-Yu Guo, Ying-Jun Li
E-mail: ghy@cumtb.edu.cn;lyj@aphy.iphy.ac.cn
Cite this article:
Hong-Yu Guo(郭宏宇), Tao Cheng(程涛), Jing Li(李景), and Ying-Jun Li(李英骏) Effect of initial phase on the Rayleigh—Taylor instability of a finite-thickness fluid shell 2022 Chin. Phys. B 31 035203
[1] Rayleigh L 1883 Proc. London Math. Soc.14 170 [2] Taylor G 1950 Proc. R. Soc. Lond. A201 192 [3] Chittenden J P and Jennings C A 2008 Phys. Rev. Lett.101 055005 [4] Lindl J D, Amendt P, Berger R L, Glendinning S G, Glenzer S H, Haan S W, Kauffman R L, Landen O L and Suter L J 2004 Phys. Plasmas11 339 [5] Wang L F, Ye W H, He X T, Wu J F, Fan Z F, Xue C, Guo H Y, Miao W Y, Yuan Y T, Dong J Q, Jia G, Zhang J, Li Y J, Liu J, Wang M, Ding Y K and Zhang W Y 2017 Sci. China-Phys. Mech. Astron.60 055201 [6] Jacobs J W and Catton I 1988 J. Fluid Mech.187 329 [7] Liu W H, Wang L F, Ye W H and He X T 2012 Phys. Plasmas19 042705 [8] Wang L F, Wu J F, Fan Z F, et al. 2012 Phys. Plasmas19 112706 [9] Lai H L, Xu A G, Zhang G C, et al. 2016 Phys. Rev. E94 023106 [10] Zhang J, Wang L F, Ye W H, Wu J F, Guo H Y, Zhang W Y and He X T 2017 Phys. Plasmas24 062703 [11] Xin J, Yan R, Wan Z H, Sun J, Zheng J, Zhang H, Aluie H and Betti R 2019 Phys. Plasmas26 032703 [12] Mikaelian K O 1982 Phys. Rev. A26 2140 [13] Mikaelian K O 1983 Phys. Rev. A28 1637 [14] Guo H Y, Wang L F, Ye W H, et al. 2017 Chin. Phys. Lett.34 075201 [15] Guo H Y, Wang L F, Ye W H, et al. 2017 Chin. Phys. B26 125202 [16] Guo H Y, Wang L F, Ye W H, et al. 2018 Chin. Phys. B27 025206 [17] Weis M R, Zhang P, Lau Y Y, et al. 2014 Phys. Plasmas21 122708 [18] Velikovich A L and Schmit P F 2015 Phys. Plasmas22 122711 [19] Plesset M S 1954 J. Appl. Phys.25 96 [20] Wilkinson J P and Jacobs J W 2007 Phys. Fluids19 124102 [21] Jacobs J W and Catton I 1988 J. Fluid Mech.187 353 [22] Ding J C, Si T, Yang J M, et al. 2017 Phys. Rev. Lett.119 014501 [23] Wang L F, Guo H Y, Wu J F, et al. 2014 Phys. Plasmas21 122710 [24] Guo H Y, Wang L F, Ye W H, et al. 2017 Phys. Plasmas24 112708 [25] Miles A R, Edwards M J, Blue B, et al. 2004 Phys. Plasmas11 5507
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