Analytical model for Rayleigh—Taylor instability in conical target conduction region

doi:10.1088/1674-1056/ac8731

Abstract This work builds an isobaric steady-state fluid analytical-physical model of the plasma conduction region in a conical target. The hydrodynamic instability in the double-cone ignition scheme^[21] for inertial confinement fusion (ICF) proposed by Zhang is studied with the built model. With this idealized model, the relevant parameters, such as density, temperature, and length of the plasma in the conduction region of the conical target under long-pulse conditions are given. The solution of the proposed analytical model dovetails with the trend of the numerical simulation. The model and results in this paper are beneficial for discussing how to attenuate Rayleigh—Taylor instability in ICF processes with conical and spherical targets.

Keywords: double-cone ignition Rayleigh—Taylor instability conical target conduction region

Received: 22 May 2022
Revised: 19 July 2022
Accepted manuscript online:

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 Strategic Priority Research Program of Chinese Academy of Sciences (Grant Nos. XDA 25051000 and XDA 25010100).

Corresponding Authors: Ying-Jun Li
E-mail: lyj@aphy.iphy.ac.cn

Cite this article:

Zhong-Yuan Zhu(朱仲源), Yun-Xing Liu(刘云星), Ying-Jun Li(李英骏), and Jie Zhang(张杰) Analytical model for Rayleigh—Taylor instability in conical target conduction region 2022 Chin. Phys. B 31 105202

[1] Betti R and Hurricane O A 2016 Nat. Phys. 12 435
[2] Frenje J A 2020 Plasma Phys. Control. Fusion 62 023001
[3] Zhang S and Hu S X 2020 Phys. Rev. Lett. 125 105001
[4] Betti R, Goncharov V N, McCrory R L and Verdon C P 1998 Phys. Plasmas 5 1446
[5] Henderson D B, McCrory R L and Morse R L 1974 Phys. Rev. Lett. 33 205
[6] Yang H, Zhang J and Li Y 2002 Phys. Rev. E 66 016406
[7] ColaÏtis A, Duchateau G and Ribeyre X 2015 Phys. Rev. E 92 041101
[8] Hill D W and Kingham R J 2018 Phys. Rev. E 98 021201
[9] Clark T R and Milchberg H M 1998 Phys. Rev. E 57 3417
[10] Duchateau G, Hu S X and Pineau A 2019 Phys. Rev. E 100 033201
[11] Lindl J D, Amendt P and Berger R L 2004 Phys. Plasmas 11 339
[12] Lindl J 1995 Phys. Plasmas 2 3933
[13] Perkins L J, Betti R and LaFortune K N 2009 Phys. Rev. Lett. 103 045004
[14] Marozas J A, Hohenberger M and Rosenberg M J 2018 Phys. Rev. Lett. 120 085001
[15] Livescu D, Wei T and Petersen M R 2011 J. Phys.: Conf. Ser. 318 082007
[16] Livescu D, Ristorcelli J R and Gore R A 2010 Phys. Scr. T142 014015
[17] Livescu D 2004 Phys. Fluids 16 118
[18] Yu X J, Ye W H and Wu J F 2006 High Power Laser Particle Beams 08 1297
[19] Gupta N K and Lawand S V 1986 Plasma Phys. Control. Fusion 28 925
[20] Sanz J 1996 Phys. Rev. E 53 4026
[21] Zhang J, Wang W M and Yang X H 2020 Phil. Trans. R. Soc. A 378 20200015
[22] Sanz J, Masse L and Clavin P 2006 Phys. Plasmas 13 102702
[23] Guo H Y, Cheng T, Li J and Li Y J 2022 Chin. Phys. B 31 35203
[24] Fang K, Zhang Z and Li Y T 2022 Acta Phys. Sin. 71 035204 (in Chinese)
[25] De Groot J S, Estabrook K G, Kruer W L, Drake R P, Mizuno K, and Cameron S M 1992 Physics of Fluids B: Plasma Physics 4 701
[26] Li Y J, Zhang G P and Zhang J 1999 Chinese Journal of Computational Physics 05 529
[27] Zeng X C, Jiang R H and Chang T Q 1991 High Power Laser and Particle Beams 04 477
[28] Zhang J, Pei W B, Gu P J and Chang T Q 1995 Acta Phys. Sin. 44 1936 (in Chinese)
[29] Christopherson A R, Betti R and Lindl J D 2019 Phys. Rev. E 99 021201
[30] Ye W H, Zhang W Y and He X T 2000 Acta Phys. Sin. 49 0762 (in Chinese)
[31] Li J and Zhao 2010 Plasma Phys. Control. Fusion 52 045013
[32] Grun J, Decoste R, Ripin B H, et al. 1998 Appl. Phys. Lett. 39 545
[33] Zhang J, Zhang Z and Wang W M (CN Patent) 111681783 A [2020-09-18]
[34] Betti R, Goncharov V N and McCrory R L 1981 Phys. Plasmas 5 1446
[35] Kilkenny J D, Glendinning S G and Haan S W 1994 Phys. Plasmas 1 1379
[36] Tabak M, Munro D H and Lindl J D 1990 Phys. Plasmas 2 1007
[37] London R A and Rosen M D 1986 Phys. Fluids 29 3813
[38] Sanz J, Garnier J and Cherfils C 2005 Phys. Plasmas 12 112702
[39] Yabe T, Mima K and Yoshikawa K 1981 Nucl. Fusion 21 803
[40] Chang T Q 1991 Laser Plasma Interaction and Laser Fusion (Hunan: Hunan Science and Technology Press) p. 185
[41] Lobok M G, Andriyash I A and Vais O E 2021 Phys. Rev. E 104 L053201
[42] De Groot J S, Cameron S M and Mizuno K 1991 Phys. Plasmas 3 1241
[43] Fabbro R, Max C and Fabre E 1985 Phys. Fluids 28 1463
[44] Colombant D and Tonon G F 1973 J. Appl. Phys. 44 3524
[45] Bobin J L, Colombant D and Tonon G 1972 Nucl. Fusion 12 445
[46] Li Y J and Zhang J 2001 Phys. Rev. E 63 036410
[47] Li Y J, Lu X and Zhang J 2002 Phys. Rev. E 66 046501
[48] Li Z Y, Wang L F, Wu J F and Ye W H 2020 Chin. Phys. B 29 034704
[49] Spitzer L and Harm R 1952 Phys. Rev. 89 977
[50] Ye W H, Zhang W Y and He X T 2002 Phys. Rev. E 65 057401
[51] Ye W H, Wang L F and He X T 2010 Phys. Plasmas 17 122704

[1]	Effect of initial phase on the Rayleigh—Taylor instability of a finite-thickness fluid shell Hong-Yu Guo(郭宏宇), Tao Cheng(程涛), Jing Li(李景), and Ying-Jun Li(李英骏). Chin. Phys. B, 2022, 31(3): 035203.

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Analytical model for Rayleigh—Taylor instability in conical target conduction region

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