PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
Prev
Next
|
|
|
Magneto-Rayleigh–Taylor instability in compressible Z-pinch liner plasmas |
Xue Yang(杨学)1,2, De-Long Xiao(肖德龙)1, Ning Ding(丁宁)1, Jie Liu(刘杰)1,3 |
1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; 2 Graduate School, China Academy of Engineering Physics, Beijing 100088, China; 3 HEDPS, CAPT, and CICIFSA MoE, Peking University, Beijing 100871, China |
|
|
Abstract In this paper, the characteristics of magneto-Rayleigh–Taylor (MRT) instability of liner plasmas in MagLIF is theoretically investigated. A three-region slab model, based on ideal MHD equations, is used to derive the dispersion relation of MRT instability. The effect of compressibility on the development of MRT instability is specially examined. It is shown that the growth rate of MRT instability in compressible condition is generally lower than that in incompressible condition in the presence of magnetic field. In the case of zero magnetic field, the growth rate in compressible assumption is approximately the same as that in incompressible assumption. Generally, MRT instability in (x,y) plane can be remarkably mitigated due to the presence of magnetic field especially for short-wavelength perturbations. Perturbations may be nearly completely mitigated when the magnetic field is increased to over 1000 T during liner implosions. The feedthrough of MRT instability in liner outer surface on inner surface is also discussed.
|
Received: 17 January 2017
Revised: 07 April 2017
Accepted manuscript online:
|
PACS:
|
52.57.Fg
|
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
|
|
52.55.Tn
|
(Ideal and resistive MHD modes; kinetic modes)
|
|
52.58.Lq
|
(Z-pinches, plasma focus, and other pinch devices)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.11475027,11274051,11105017,and 11275030) and the National Basic Research Program of China (Grants No.2013CB834100). |
Corresponding Authors:
De-Long Xiao
E-mail: xiao_delong@iapcm.ac.cn
|
Cite this article:
Xue Yang(杨学), De-Long Xiao(肖德龙), Ning Ding(丁宁), Jie Liu(刘杰) Magneto-Rayleigh–Taylor instability in compressible Z-pinch liner plasmas 2017 Chin. Phys. B 26 075202
|
[1] |
Slutz S A, Herrmann M C, Vesey R A, Sefkow A B, Sinars D B, Rovang C R, Peterson K J and Cuneo M E 2010 Phys. Plasmas 17 056303
|
[2] |
Awe T J, McBride R D, Jennings C A, Lamppa D C, Martin M R, Rovang D C, Sinars D B, Slutz S A, Owen A C, Tomlinson K, Gomez M R, Hansen S B, Herrmann M C, McKenney J L, Robertson G K, Rochau G A, Savage M E, Schroen D G and Stygar W A 2014 Phys. Plasmas 21 056303
|
[3] |
Slutz S A and Vesey R A 2012 Phys. Rve. Lett. 108 025003
|
[4] |
Sinars D B, Slutz S A, Herrmann M C, McBride R D, Cuneo M E, Jennings C A, CHittenden J P, Velikovich A L, Peterson K J, Vesey R A, Nakhleh C, Waisman E M, Blue B E, Killebrew K, Schroen D, Tomlinson K, Edens A D, Lopez M R, Smith C, Shores J, Bigman V, Bennett G R, Atherton B W, Savage M, Stygar W A, Leifeste G T and Porter J L 2011 Phys. Plasmas 18 056301
|
[5] |
Ryutov D D, Cuneo M E, Herrmann M C, Sinars D B and Slutz S A 2012 Phys. Plasmas 19 062706
|
[6] |
Zhang Y and Ding Ning 2005 Acta Phys. Sin. 55 2333 (in Chinese)
|
[7] |
Ding Ning, Zhang Y, Xiao D L, Wu J M, Dai Z H, Yin L, Gao Z M, Sun S K, Xue C, Ning C, Shu X J and W J G 2016 Matter and Radiation at Extremes 1 135
|
[8] |
Awe T J, McBride R D, Jennings C A, Lamppa D C, Martin M R, Rovang D C, Slutz S A, Cuneo M E, Owen A C, Sinars D B, Tomlinson K, Gomez M R, Hansen S B, Herrmann M C, McKenney J L, Nakhleh C, Robertson G K, Rochau G A, Savage M E, Schroen D G and Stygar W A 2013 Phys. Rev. Lett. 111 235005
|
[9] |
Chandrasekhar S 1961 Hydrodynamic and Hydromagnetic Stability (London:Oxford University) Chap. VIII, p. 429
|
[10] |
Harris E G 1962 Phys. Fluids 5 1057
|
[11] |
Yang B L, Wang L F, Ye W H and Xue C 2011 Phys. Plasmas 18 072111
|
[12] |
Zhang W L, Wu Z W and Li D 2005 Phys. Plasmas 12 042106
|
[13] |
Bud'ko A B, Felber F S, Kleev A I, Liberman M A and Velikovich A L 1989 Phys. Fluids B 1 598
|
[14] |
Bellan P M 2006 Fundamentals of Plasma Physics (Cambrige:Cambrige University Press)
|
[15] |
Lau Y Y, Zier J C, Rittersdorf I M, Weis M R and Gilgenbach R M 2011 Phys. Rev. E 83 066405
|
[16] |
Zhang P, Lau Y Y, Rittersdorf I M, Weis M R, Gilgenbach R M, Chalenski D and Slutz S A 2012 Phys. Plasmas 19 022703
|
[17] |
Amendt P, Colvin J D, Ramshaw J D, Robey H F and Landen O L 2003 Phys. Plasmas 10 820
|
[18] |
Ryutov D D and Dorf M A 2014 Phys. Plasmas 21 112704
|
[19] |
Velikovich A L and Schmit P F 2015 Phys. Plasmas 22 122711
|
[20] |
Schmit P F, Velikovich A L, McBride R D and Robertson G K 2016 Phys. Rev. Lett. 117 205001
|
[21] |
Weis M R, Zhang P, Lau Y Y, Rittersdorf I M, Zier J C, Gilgenbach R M, Hess M H and Peterson K J 2014 Phys. Plasmas 21 122708
|
[22] |
Livescu D 2004 Phys. Fluids 16 118
|
[23] |
Gomez M R, Slutz S A, Sefkow A B, Sinars D B, Hahn K D, Hansen S B, Harding E C, Knapp P F, Schmit P F, Jennings C A, Geissel T J, Rovang D C, Chandler G A, Cooper G W, Cuneo M E, HaveyThompson A J, Herrmann M C, Hess M H, Johns O, Lamppa D C, Martin M R, McBride R D, Peterson K J, Porter J L, Robertson G K, Rochau G A, Ruiz C L, Savage M E, Smith I C, Stygar W A and Vesey R A 2014 Phys. Rev. Lett. 113 155003
|
[24] |
Sinars D B, Slutz S A, Herrmann M C, McBride R D, Cuneo M E, Peterson K J, Vesey R A, Nakhleh C, Blue B E, Killebrew K, Schroen D, Tomlinson K, Edens A D, Lopez M R, Smith I C, Shores J, Bigman V, Bennett G R, Atherton B W, Savage M, Stygar W A, Leifeste G T and Porter J L 2010 Phys. Rev. Lett. 105 185001
|
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
|
|
|