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The dynamics of ablated plasma of wire-array Z-pinches are studied numerically in (r, θ) geometry by using 2D MHD simulation model, in which plausible mass injection boundary conditions are incorporated, and 2D spatio-temporal distribution of plasma parameters and magnetic field are obtained. The ablated-plasma dynamics involves 4 stages: drifting towards the axis, arriving at the axis and forming the precursor column, contraction and expansion of the precursor column, which is essentially reasonable. The relationships between the ablation velocity, the ratio of ablated plasmas to the total wire-array mass and the initial array load parameters are analyzed, and the results are in reasonablly good agreement with the experiment. The effects of the initial inter-wire separation on the structure of magnetic field are investigated and the results can give valuable suggestions to designing the wire array Z-pinch loads.
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Keywords:
- wire-array Z-pinch /
- magnetohydrodynamics /
- ablated plasma
[1] Deeney C, Chandler G A, Douglas M R, Fehl D L, Matzen M K, McDaniel D H, Nash T J, Porter J L, Sanford T W L, Seamen J F, Stygar W A, Struve K W, Breeze S P, Mcgurn J S, Torres J A, Zargar D M, Gilliland T L, Jobe D O, McKenney J L, Mock R C, Vargars M, Wagoner T 1998 Phys. Plasmas 5 2105
[2] Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, L’Eplattenier P, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[3] Matzen M K 1997 Phys. Plasmas 4 1519
[4] Lebedev S L, Beg F N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Sheldovenko T A 2001 Phys. Plasmas 8 3734
[5] Grabovskii E V, Mitrofanov1 K N, Oleinik1 G M, Porofeev1 I Yu 2004 Plasma Phys. Rep. 30 121
[6] Aleksandrov V V, Branitskii A V, Volkov G S, Grabovskii E V, Zurin M V, nedoseev S L, Oleinik G M, Samokhin A A, Sasorov P V, Smirnov V P, Fedulov M V, Frolov I N 2001 Plasma Phys. Rep. 27 89
[7] Sasorov P V 2004 Proceedings of 15th international Conference on High Power Beams S. Petersburg, Russia, July 18—23, 2004 p734
[8] Sasorov P V, Oliver B V, Yu E P, Mehlhorn T A 2008 Phys. Plasmas 15 022702
[9] Yu E P, Oliver B V, Sinars D B, Mehlhorn T A, Cuneo M E, Sasorov P V, Haines M G, Lebedev S V 2007 Phys. Plasmas 14 022705
[10] Chittenden J P, Lebedev S V, Oliver B V, Yu E P, Cuneo M E 2004 Phys. Plasmas 11 1118
[11] Waisman E M, Cuneo M E, Stygar W A, Sasorov P V, Yu E P 2006 Phys. Plasmas 13 062702
[12] Chittenden J P, Lebedev S V, Bell A R, Aliaga-Rossel R, Bland S N, Haines M G 1999 Phys. Rev. Lett. 83 100
[13] Chittenden J P, Lebedev S V, Bland S N, Beg F N, Haines M G 2001 Phys. Plasmas 8 2305
[14] Yu E P, Cuneo M E, Desjarlais M P, Lemke R W, Sinars D B, Haill T A, Waisman E M, Bennett G R, Jennings C A, Mehlhorn T A, Brunner T A, Hanshaw H L, Porter J L, Stygar W A, Rudakov L I 2008 Phys. Plasmas 15 056301
[15] Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 415(in Chinese)[宁成、杨震华、丁宁 2003 物理学报 52 415]
[16] Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808(in Chinese)[丁宁、杨震华、宁成2004 物理学报 52 808]
[17] Ning C, Ding N ,Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成、丁宁、刘全、杨震华2006 物理学报 55 3488]
[18] Lebedev S L, Ampleford D J, Bland S N, Bott S C, Chittenden J P, Goyer J, Jennings C, Haines M G, Hall G N, Hammer D A, Palmer J B A, Pikuz S A, Shelkovenko T A, Christoudias T 2004 Nucl. Fusion 44 S215
[19] Sanford T W L, Allshouse G O, Marder B M, Nash T J, Mock R C, Spielman R B, Seamen J F, McGurn J S, Jobe D, Gilliland T L, Vargas M, Struve K W, Stygar W A, Douglas M R, Matzen M K, Hammer J H, De Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thronhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[20] Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 753
[21] Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 791
[22] Bott S C, Lebedev S V, Ampleford D J, Bland S N, Chinttenden J P, Ciardi A, Haines M G, Jennings C, Sherlock M, Hall G, Rapley J, Beg F N, Palmer J 2006 Phys. Rev. E 74 046403
[23] Chittenden J P, Jennings C 2008 Phys. Rev. Lett. 101 055005
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[1] Deeney C, Chandler G A, Douglas M R, Fehl D L, Matzen M K, McDaniel D H, Nash T J, Porter J L, Sanford T W L, Seamen J F, Stygar W A, Struve K W, Breeze S P, Mcgurn J S, Torres J A, Zargar D M, Gilliland T L, Jobe D O, McKenney J L, Mock R C, Vargars M, Wagoner T 1998 Phys. Plasmas 5 2105
[2] Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, L’Eplattenier P, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[3] Matzen M K 1997 Phys. Plasmas 4 1519
[4] Lebedev S L, Beg F N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Sheldovenko T A 2001 Phys. Plasmas 8 3734
[5] Grabovskii E V, Mitrofanov1 K N, Oleinik1 G M, Porofeev1 I Yu 2004 Plasma Phys. Rep. 30 121
[6] Aleksandrov V V, Branitskii A V, Volkov G S, Grabovskii E V, Zurin M V, nedoseev S L, Oleinik G M, Samokhin A A, Sasorov P V, Smirnov V P, Fedulov M V, Frolov I N 2001 Plasma Phys. Rep. 27 89
[7] Sasorov P V 2004 Proceedings of 15th international Conference on High Power Beams S. Petersburg, Russia, July 18—23, 2004 p734
[8] Sasorov P V, Oliver B V, Yu E P, Mehlhorn T A 2008 Phys. Plasmas 15 022702
[9] Yu E P, Oliver B V, Sinars D B, Mehlhorn T A, Cuneo M E, Sasorov P V, Haines M G, Lebedev S V 2007 Phys. Plasmas 14 022705
[10] Chittenden J P, Lebedev S V, Oliver B V, Yu E P, Cuneo M E 2004 Phys. Plasmas 11 1118
[11] Waisman E M, Cuneo M E, Stygar W A, Sasorov P V, Yu E P 2006 Phys. Plasmas 13 062702
[12] Chittenden J P, Lebedev S V, Bell A R, Aliaga-Rossel R, Bland S N, Haines M G 1999 Phys. Rev. Lett. 83 100
[13] Chittenden J P, Lebedev S V, Bland S N, Beg F N, Haines M G 2001 Phys. Plasmas 8 2305
[14] Yu E P, Cuneo M E, Desjarlais M P, Lemke R W, Sinars D B, Haill T A, Waisman E M, Bennett G R, Jennings C A, Mehlhorn T A, Brunner T A, Hanshaw H L, Porter J L, Stygar W A, Rudakov L I 2008 Phys. Plasmas 15 056301
[15] Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 415(in Chinese)[宁成、杨震华、丁宁 2003 物理学报 52 415]
[16] Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808(in Chinese)[丁宁、杨震华、宁成2004 物理学报 52 808]
[17] Ning C, Ding N ,Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成、丁宁、刘全、杨震华2006 物理学报 55 3488]
[18] Lebedev S L, Ampleford D J, Bland S N, Bott S C, Chittenden J P, Goyer J, Jennings C, Haines M G, Hall G N, Hammer D A, Palmer J B A, Pikuz S A, Shelkovenko T A, Christoudias T 2004 Nucl. Fusion 44 S215
[19] Sanford T W L, Allshouse G O, Marder B M, Nash T J, Mock R C, Spielman R B, Seamen J F, McGurn J S, Jobe D, Gilliland T L, Vargas M, Struve K W, Stygar W A, Douglas M R, Matzen M K, Hammer J H, De Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thronhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[20] Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 753
[21] Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 791
[22] Bott S C, Lebedev S V, Ampleford D J, Bland S N, Chinttenden J P, Ciardi A, Haines M G, Jennings C, Sherlock M, Hall G, Rapley J, Beg F N, Palmer J 2006 Phys. Rev. E 74 046403
[23] Chittenden J P, Jennings C 2008 Phys. Rev. Lett. 101 055005
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