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Chin. Phys. B, 2019, Vol. 28(2): 025203    DOI: 10.1088/1674-1056/28/2/025203

Preliminary investigation on electrothermal instabilities in early phases of cylindrical foil implosions on primary test stand facility

Guanqiong Wang(王冠琼)1, Delong Xiao(肖德龙)1, Jiakun Dan(但家坤)2, Yang Zhang(张扬)1, Ning Ding(丁宁)1, Xianbin Huang(黄显宾)2, Xiaoguang Wang(王小光)1, Shunkai Sun(孙顺凯)1, Chuang Xue(薛创)1, Xiaojian Shu(束小建)1
1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2 Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang 621900, China

Recent experiments on the implosions of 15-mm long and 2-μm thick aluminum liners having a diameter of 12.8 mm have been performed on the primary test stand (PTS) facility. The stratified structures are observed as alternating dark and light transverse stripes in the laser shadowgraph images. These striations perpendicular to the current flow are formed early in the implosion, i.e., at the stage when the bulk of the material mass was almost at rest. A two-dimensional (2D) magnetohydrodynamics (MHD) code is employed to simulate the behavior of liner dynamics in the early phases. It is found that the striations may be produced by the electrothermal instability (ETI) that results from non-uniform Joule heating due to the characteristic relation between the resistivity and the temperature. In 2D simulations, the stratified structures can be seen obviously in both density and temperature contours as the liner expands rapidly. By analyzing instability spectrum, the dominant wavelengths of the perturbations are 8.33 μm-20.0 μm, which agree qualitatively with the theoretical predictions. It is also interesting to show that ETI provides a significant seed to the subsequent magneto Rayleigh-Taylor (MRT) instability.

Keywords:  Z-pinch      electrothermal instability      magnetohydrodynamics (MHD) simulations  
Received:  29 August 2018      Revised:  23 November 2018      Accepted manuscript online: 
PACS:  52.58.Lq (Z-pinches, plasma focus, and other pinch devices)  
  52.30.Cv (Magnetohydrodynamics (including electron magnetohydrodynamics))  
  52.65.-y (Plasma simulation)  

Project supported by the National Natural Science Foundation of China (Grant Nos. 11805019, 11775032, 11605013, and 11705013).

Corresponding Authors:  Yang Zhang     E-mail:

Cite this article: 

Guanqiong Wang(王冠琼), Delong Xiao(肖德龙), Jiakun Dan(但家坤), Yang Zhang(张扬), Ning Ding(丁宁), Xianbin Huang(黄显宾), Xiaoguang Wang(王小光), Shunkai Sun(孙顺凯), Chuang Xue(薛创), Xiaojian Shu(束小建) Preliminary investigation on electrothermal instabilities in early phases of cylindrical foil implosions on primary test stand facility 2019 Chin. Phys. B 28 025203

[1] Spielman R B, Deeney C, Chandler G A, et al. 1998 Phys. Plasmas 5 2105
[2] Xiao D L, Sun S K, Zhao Y K, Ding N, Wu J, Dai Z H, Yin L, Zhang Y and Xue C 2015 Phys. Plasmas 22 052709
[3] Grabovskii E V, Mitrofanov K N, Oleinik G M and Porofeev I Y 2004 Plasma Phys. Rep. 30 121
[4] Slutz S A, Bailey J E, Chandler G A, Bennett G R, Cooper G, Lash J S, Lazier S, Lake P, Lemke R W, Mehlhorn T A, Nash T J, Nielson D S, McGurn J, Moore T C, Ruiz C L, Schroen D G, Torres J, Varnum W and Vesey R A 2003 Phys. Plasmas 10 1875
[5] Lebedev S V, Mitchell I H, Aliaga-Rossel R, Bl, S N, Chittenden J P, Dangor A E and Haines M G 1998 Phys. Rev. Lett. 81 4152
[6] Slutz S A, Herrmann M C, Vesey R A, Sefkow A B, Sinars D B, Rovang D C, Peterson K J and Cuneo M E 2010 Phys. Plasmas 17 056303
[7] Baksht R B, Bugaev S P, Datsko I M, Luchinsky A V, Mesyats G A, Ratakhin N A and Russkich A G 1989 AIP Conf. Proc. 195 27
[8] Gomez M R, Slutz S A, Sefkow A B, et al. 2014 Phys. Rev. Lett. 113 155003
[9] Velikovich A L, Cochran F L and Davis J 1996 Phys. Rev. Lett. 77 853
[10] Miles A R 2009 Phys. Plasmas 16 032702
[11] Harris E G 1962 Phys. Fluids 5 1057
[12] Sinars D B, Slutz S A, Herrmann M C, et al. 2011 Phys. Plasmas 18 056301
[13] Sinars D B, Slutz S A, Herrmann M C, et al. 2010 Phys. Rev. Lett. 105 185001
[14] McBride R D, Slutz S A, Jennings C A, et al. 2012 Phys. Rev. Lett. 109 135004
[15] McBride R D, Martin M R, Lemke R W, et al. 2013 Phys. Plasmas 20 056309
[16] Peterson K J, Yu E P, Sinars D B, Cuneo M E, Slutz S A, Koning J M, Marinak M M, Nakhleh C and Herrmann M C 2013 Phys. Plasmas 20 056305
[17] Pecover J D and Chittenden J P 2015 Phys. Plasmas 22 102701
[18] Peterson K J, Sinars D B, Yu E P, Herrmann M C, Cuneo M E, Slutz S A, Smith I C, Atherton B W, Knudson M D and Nakhleh C 2012 Phys. Plasmas 19 092701
[19] Awe T J, Yu E P, Yates K C, Yelton W G, Bauer B S, Hutchinson T M, Fuelling S and Mckenzie B B 2017 IEEE Trans. Plasma Sci. 45 584
[20] Peterson K J, Awe T J, Yu E P, Sinars D B, Field E S, Cuneo M E, Herrmann M C, Savage M, Schroen D, Tomlinson K and Nakhleh C 2014 Phys. Rev. Lett. 112 135002
[21] Awe T J, Peterson K J, Yu E P, McBride R D, Sinars D B, Gomez M R, Jennings C A, Martin M R, Rosenthal S E, Schroen D G, Sefkow A B, Slutz S A, Tomlinson K and Vesey R A 2016 Phys. Rev. Lett. 116 065001
[22] Ryutov D D, Derzon M S and Matzen M K 2000 Rev. Mod. Phys. 72 167
[23] Oreshkin V I 2008 Phys. Plasmas 15 092103
[24] Oreshkin V I 2009 Tech. Phys. Lett. 35 36
[25] Rousskikh A G, Oreshkin V I, Chaikovsky S A, Labetskaya N A, Shishlov A V, Beilis I I and Baksht R B 2008 Phys. Plasmas 15 102706
[26] Nash T J, Deeney C, Chandler G A, et al. 2004 Phys. Plasmas 11 L65
[27] Feng S P, Li H T, Xie W P, Deng J J, Xia M H, Ji C, Wang M, Guan Y C, He A 2009 High Power Laser Part. Beams 21 463 (in Chinese)
[28] Faik S, Tauschwitz A, Maruhn J and Iosilevskiy I 2011 MPQeos-JWGU: A new equation-of-state code for hot dense matter, GSI Report
[29] Lee Y T and More R M 1984 Phys. Fluids 27 1273
[30] Stone J M and Norman M L 1992 Astrophys. J. Suppl. Ser. 80 819
[31] Stone J M and Norman M L 1992 Astrophys. J. Suppl. Ser. 80 791
[32] Douglas M R, Deeney C and Roderick N F 1998 Phys. Plasmas 5 4183
[33] Wu J, Li X W, Li M, Li Y and Qiu A C 2017 J. Phys. D: Appl. Phys. 50 403002
[34] Yager-Elorriaga D A, Zhang P, Steiner A M, Jordan N M, Lau Y Y and Gilgenbach R M 2016 Phys. Plasmas 23 101205
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