| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
Prev
Next
|
|
|
Weakly nonlinear Rayleigh-Taylor instability of finite-thickness fluid supported by a semi-infinite fluid |
| Hong-Yu Guo(郭宏宇)1,2,3,†, Dong-Yu Guo(郭懂宇)1,2,†,‡, Ben-Jin Guan(关本金)4, Ying-Jun Li(李英骏)4, and Shi-Qi Liu(刘世奇)1,2,§ |
1 School of Energy and Mining Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China;
2 Mining Water Control and Utilization Engineering Center, Beijing 100083, China;
3 School of Physics, Beijing Institute of Technology, Beijing 100081, China;
4 State Key Laboratory for Tunnel Engineering, China University of Mining and Technology, Beijing 100083, China |
|
|
|
|
Abstract Rayleigh-Taylor instability (RTI) in multi-interface shells significantly influences shell deformation and material mixing, thereby affecting inertial confinement fusion (ICF) implosion performance. This study investigates the weakly nonlinear (WN) RTI in a finite-thickness fluid shell supported by a semi-infinite fluid. We derive the governing equations and third-order WN solutions for RTI growth at both interfaces of the shell. Numerical simulations based on the two-dimensional Eulerian framework confirm the validity of the theoretical results in the WN regime. The perturbation growth rate at the lower interface and the interfacial coupling coefficients both exhibit explicit dependence on the Atwood number $A$ and the normalized shell thickness $\xi$. The WN growth and the deformation of the shell are investigated through the third-order solutions. Comparisons are made with the classical RTI in the WN regime under different initial conditions. Additionally, we analyze the saturation amplitude of the perturbation fundamental mode. It is found that the Atwood number and finite-thickness effects play a pivotal role in the WN evolution of the fluid layer.
|
Received: 05 August 2025
Revised: 26 October 2025
Accepted manuscript online: 11 November 2025
|
|
PACS:
|
52.57.Fg
|
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
|
| |
47.20.Ma
|
(Interfacial instabilities (e.g., Rayleigh-Taylor))
|
| |
52.35.Py
|
(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
|
|
| Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2025ZKPYNY05), the National Science and Technology Major Project of China (Grant No. 2024ZD1700201), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDA 25051000 and XDA 25010100). |
Corresponding Authors:
Dong-Yu Guo, Shi-Qi Liu
E-mail: pzg8559@163.com;201845@cumtb.edu.cn
|
Cite this article:
Hong-Yu Guo(郭宏宇), Dong-Yu Guo(郭懂宇), Ben-Jin Guan(关本金), Ying-Jun Li(李英骏), and Shi-Qi Liu(刘世奇) Weakly nonlinear Rayleigh-Taylor instability of finite-thickness fluid supported by a semi-infinite fluid 2026 Chin. Phys. B 35 065202
|
[1] Rayleigh L 1882 Proc. London Math. Soc. s1-14 170
[2] Taylor G 1950 Proc. R. Soc. Lond. A 201 192
[3] Inogamov N A 1999 Anstrophys. Space Phys. 1 10
[4] Betti R and Hurricane O A 2016 Nat. Phys. 12 435
[5] Wang L F, YeWH, He X T, et al. 2017 Sci. China Phys. Mech. Astron. 60 055201
[6] Zylstra A B, Hurricane O A, Callahan D A, et al. 2022 Nature 601 542
[7] Clark D S, Weber C R, Milovich J L, et al. 2019 Phys. Plasmas 26 050601
[8] Guo Y, Wu D and Zhang J 2024 Phys. Plasmas 31 112106
[9] Li J, Yan R, Zhao B, et al. 2024 Phys. Plasmas 31 012703
[10] Liu W H, Wang L F, Ye W H, et al. 2012 Phys. Plasmas 19 042705
[11] Lai H L, Xu A G, Zhang G C, et al. 2016 Phys. Rev. E 94 023106
[12] Wang L F, Ye W H, He X T, et al. 2012 Phys. Plasmas 19 100701
[13] Wang L F, Ye W H and He X T 2012 Phys. Plasmas 19 012706
[14] Xin J, Yan R, Wan Z H, et al. 2019 Phys. Plasmas 26 032703
[15] Zhang D, Li J, Xin J, et al. 2022 Phys. Plasmas 29 072702
[16] Mikaelian K O 1982 Phys. Rev. A 26 2140
[17] Mikaelian K O 1983 Phys. Rev. A 28 1637
[18] Mikaelian K O 2025 Phys. Fluids 37 032114
[19] Guo H Y, Wang L F, Ye W H, et al. 2017 Chin. Phys. Lett. 34 075201
[20] Guo H Y, Wang L F, Ye W H, et al. 2017 Chin. Phys. B 26 125202
[21] Guo H Y, Wang L F, Ye W H, et al. 2018 Chin. Phys. B 27 025206
[22] Li Z Y, Wang L F, Wu J F, et al. 2020 Chin. Phys. Lett. 37 025201
[23] Huang L X, Xiao D L,Wang X G, et al. 2025 Phys. Plasmas 32 052714
[24] Wilkinson J P and Jacobs J W 2007 Phys. Fluids 19 124102
[25] Ding J C, Si T, Yang J M, et al. 2017 Phys. Rev. Lett. 119 014501
[26] Raman K S, Smalyuk V A, Casey D T, et al. 2014 Phys. Plasmas 21 072710
[27] Hurricane O A, Callahan D A, Casey D T, et al. 2014 Phys. Plasmas 21 056314
[28] Wang L F, Guo H Y, Wu J F, et al. 2014 Phys. Plasmas 21 122710
[29] Guo H Y, Wang L F, Ye W H, et al. 2017 Phys. Plasmas 24 112708
[30] Guo H Y, Cheng T, Li J and Li Y J 2022 Chin. Phys. B 31 035203
[31] Miller S C and Goncharov V N 2022 Phys. Plasmas 29 082701
[32] Li Z Y, Wang L F, Wu J F, et al. 2020 Acta Mech. Sin. 36 789
[33] Einfeldt B 1988 SIAM Journal on Numerical Analysis 25 294
[34] Roe P L 1986 Ann. Rev. Fluid Mech. 18 337 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
