Analytic model for the dynamic Z-pinch

被引：11

作者：

Piriz, A. R. ^{[1
,2
]}

Sun, Y. B. ^{[1
,2
,4
]}

Tahir, N. A. ^{[3
]}

机构：

[1] Univ Castilla La Mancha, CYTEMA, ETSI Ind, Ciudad Real 13071, Spain

[2] Univ Castilla La Mancha, Inst Invest Energet INEI, Ciudad Real 13071, Spain

[3] GSI Helmholtzzentrum Schwerionenforsch, D-64291 Darmstadt, Germany

[4] Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China

来源：

PHYSICS OF PLASMAS | 2015年 / 22卷 / 06期

关键词：

RAYLEIGH-TAYLOR INSTABILITY; NEUTRON-PRODUCTION; SUPPRESSION; PHYSICS; LOADS;

D O I：

10.1063/1.4922078

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A model is presented for describing the cylindrical implosion of a shock wave driven by an accelerated piston. It is based in the identification of the acceleration of the shocked mass with the acceleration of the piston. The model yields the separate paths of the piston and the shock. In addition, by considering that the shocked region evolves isentropically, the approximate profiles of all the magnitudes in the shocked region are obtained. The application to the dynamic Z-pinch is presented and the results are compared with the well known snowplow and slug models which are also derived as limiting cases of the present model. The snowplow model is seen to yield a trajectory in between those of the shock and the piston. Instead, the neglect of the inertial effects in the slug model is seen to produce a too fast implosion, and the pressure uniformity is shown to lead to an unphysical instantaneous piston stopping when the shock arrives to the axis. (C) 2015 AIP Publishing LLC.

引用

页数：7

共 48 条

[1] NEUTRON PRODUCTION IN LINEAR DEUTERIUM PINCHES [J].

ANDERSON, OA ;

BAKER, WR ;

COLGATE, SA ;

ISE, J ;

PYLE, RV .

PHYSICAL REVIEW, 1958, 110 (06) :1375-1387

[2] NEUTRON PRODUCTION IN LINEAR DEUTERIUM PINCHES [J].

ANDERSON, OA ;

BAKER, WR ;

COLGATE, SA ;

FURTH, HP ;

ISE, J ;

PYLE, RV ;

WRIGHT, RE .

PHYSICAL REVIEW, 1958, 109 (02) :612-613

[3]

Artsimovich L A., 1964, CONTROLLED RMONUC

[4]

Atzeni S., 2009, The Physics of Inertial Fusion

[5] Bounds imposed on the sheath velocity of a dense plasma focus by conservation laws and ionization stability condition [J].

Auluck, S. K. H. .

PHYSICS OF PLASMAS, 2014, 21 (09)

[6] Re-appraisal and extension of the Gratton-Vargas two-dimensional analytical snowplow model of plasma focus evolution in the context of contemporary research [J].

Auluck, S. K. H. .

PHYSICS OF PLASMAS, 2013, 20 (11)

[7] Experimental study of the hard x-ray emissions in a plasma focus of hundreds of Joules [J].

Barbaglia, M. ;

Bruzzone, H. ;

Acuna, H. ;

Soto, L. ;

Clausse, A. .

PLASMA PHYSICS AND CONTROLLED FUSION, 2009, 51 (04)

[8] Shock ignition of thermonuclear fuel with high areal density [J].

Betti, R. ;

Zhou, C. D. ;

Anderson, K. S. ;

Perkins, L. J. ;

Theobald, W. ;

Solodov, A. A. .

PHYSICAL REVIEW LETTERS, 2007, 98 (15)

[9] Deuterium gas-puff Z-pinch implosions on the Z accelerator [J].

Coverdale, C. A. ;

Deeney, C. ;

Velikovich, A. L. ;

Davis, J. ;

Clark, R. W. ;

Chong, Y. K. ;

Chittenden, J. ;

Chantrenne, S. ;

Ruiz, C. L. ;

Cooper, G. W. ;

Nelson, A. J. ;

Franklin, J. ;

LePell, P. D. ;

Apruzese, J. P. ;

Levine, J. ;

Banister, J. .

PHYSICS OF PLASMAS, 2007, 14 (05)

[10] Growth of the Rayleigh-Taylor instability in an imploding Z-pinch [J].

DeGroot, JS ;

Toor, A ;

Golberg, SM ;

Liberman, MA .

PHYSICS OF PLASMAS, 1997, 4 (03) :737-747

← 1 2 3 4 5 →