Study of the electrothermal and MHD instabilities in exploding cylindrical foil liner

An experimental and numerical study of the plasma instabilities in an electrical exploding cylindrical Al liner is reported. The Al liner 3 mm in diameter and 10 μm in thickness is exploded at the Qin-1 facility (450 ns, 400 kA). Various diagnostics, such as multi-frame laser shadowgraphy, an x-ray framing camera, and an x-ray backlighting system are developed. The different imaging systems are sensitive to plasma of different areal densities based on the comparison between the experiments and simulation, which reveal the dynamics of the exploding liner in more detail. The laser shadow images show the low-density plasma (∼1–2 × 10−4 g cm−2) at the edge of the liner, and both the amplitude and wavelength of the plasma instabilities increase over time, which are considered to be magnetohydrodynamic (MHD) instabilities rather than electrothermal instabilities. During the ablation of the liner, quasi-periodic azimuthally correlated striations are directly observed in extreme ultraviolet (EUV) self-emission images. Meanwhile, the vertical filaments, which are electrothermal instabilities for plasma under the condition of ∂η/∂T < 0, are also observed in EUV self-emission images. The x-ray backlighting images of the exploding liner are obtained by placing an X-pinch load on the current-return path to serve as an x-ray point source (∼1 ns, ∼10 μm). The x-ray backlighting results show the behavior of the high-density plasma (∼1.89 × 10−3 g cm−2), which includes the transition from electrothermal to MHD instabilities. Finally, we realized a 2D MHD simulation of the exploding liner under experimental conditions, which shows good agreement with the results of the experimental perturbation.

[1]  Jian Wu,et al.  Experimental study of the dynamics of planar wire array Z-pinch preconditioned by a controlled prepulse current , 2022, Physics of Plasmas.

[2]  T. Awe,et al.  On the relative importance of the different initial conditions that seed the electrothermal instability , 2021, Journal of Applied Physics.

[3]  M. Glinsky,et al.  An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories , 2021, Nuclear Fusion.

[4]  V. Oreshkin,et al.  Effect of the plasma self-radiation on the growth of thermal filamentation instabilities in imploding Z pinches , 2021, Plasma Physics and Controlled Fusion.

[5]  T. Jones,et al.  Liner implosion experiments driven by a dynamic screw pinch , 2021, Physics of Plasmas.

[6]  P. Stoltz,et al.  Cross-code verification and sensitivity analysis to effectively model the electrothermal instability , 2021, 2102.03378.

[7]  S. Jia,et al.  Ablated precursor plasma and evolution of magnetic field of exploding cylindrical thin liner , 2021 .

[8]  Z. H. Li,et al.  Pulsed-power-driven cylindrical aluminium liner implosions with a high aspect ratio at an 8 MA facility , 2020, Nuclear Fusion.

[9]  T. Jones,et al.  Stabilization of Liner Implosions via a Dynamic Screw Pinch. , 2020, Physical review letters.

[10]  S. Jia,et al.  Effect of the prepulse current with an adjustable time-delay on the implosion dynamics of two-wire Z-pinch , 2020, Plasma Physics and Controlled Fusion.

[11]  Yue Zhang,et al.  Numerical simulation on the formation and merging of ablation plasma in two exploding aluminum wires , 2020, Journal of Physics D: Applied Physics.

[12]  I. N. Tilikin,et al.  A Study of Thin Foil Explosion , 2018, IEEE Transactions on Plasma Science.

[13]  R. Mcbride,et al.  Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch , 2018 .

[14]  J. Greenly,et al.  Technique for insulated and non-insulated metal liner X-pinch radiography on a 1 MA pulsed power machine. , 2017, The Review of scientific instruments.

[15]  S. Chaikovsky,et al.  MHD instabilities developing in a conductor exploding in the skin effect mode , 2016 .

[16]  D. Hammer,et al.  A review of projection radiography of plasma and biological objects in X-Pinch radiation , 2016 .

[17]  Meng Wang,et al.  From concept to reality – A review to the primary test stand and its preliminary application in high energy density physics , 2016 .

[18]  J. Chittenden,et al.  Instability growth for magnetized liner inertial fusion seeded by electro-thermal, electro-choric, and material strength effects , 2015 .

[19]  R. Mcbride,et al.  Experimental demonstration of fusion-relevant conditions in magnetized liner inertial fusion. , 2014, Physical review letters.

[20]  Moscow,et al.  Dynamics of volumetrically heated matter passing through the liquid-vapor metastable states ✩ , 2012, 1205.2579.

[21]  M. Haines,et al.  A review of the dense Z-pinch , 2011 .

[22]  S. Slutz,et al.  Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field , 2010 .

[23]  Dongwook Lee,et al.  An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics , 2009, J. Comput. Phys..

[24]  S. Slutz,et al.  Production of Thermonuclear Neutrons from Deuterium-Filled Capsule Implosions Driven by Z-Pinch Dynamic Hohlraums , 2004 .

[25]  A. Dangor,et al.  The dynamics of wire array Z-pinch implosions , 1999 .

[26]  Derzon,et al.  The physics of fast Z pinches , 1998 .

[27]  V. Smirnov Fast liners for inertial fusion , 1991 .

[28]  R. More,et al.  An electron conductivity model for dense plasmas , 1984 .