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Title: Extended magnetohydrodynamics simulations of thin-foil Z-pinch implosions with comparison to experiments

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/5.0012170· OSTI ID:1658600

Cylindrical foil liners, with foil thicknesses on the order of 400 nm, are often used in university-scale Z-pinch experiments (~1 MA in 100 ns) to study physics relevant to inertial confinement fusion efforts on larger-scale facilities (e.g., the MagLIF effort on the 25-MA Z facility at Sandia National Laboratories). The use of ultrathin foil liners typically requires a central support rod to maintain the structural integrity of the liner target assembly prior to implosion. The radius of this support rod sets a limit on the maximum convergence ratio achievable for the implosion. In recent experiments with a support rod and a preimposed axial magnetic field, helical instability structures in the imploding foil plasma were found to persist as the foil plasma stagnated on the rod and subsequently expanded away from the rod. We have now used the 3D extended magnetohydrodynamics simulation code PERSEUS (which includes Hall physics) to study these experiments. The results suggest that it is the support rod which is responsible for the helical structures persisting beyond stagnation. Furthermore, we find that as the radius of the support rod decreases (i.e., as the convergence ratio increases), the integrity and persistence of the helical modes diminish. In the limit with no support rod, we find that the structure of the final stagnation column is governed by the structure of the central precursor plasma column. Furthermore, these simulation results and their comparisons to experiment are presented.

Research Organization:
Cornell Univ., Ithaca, NY (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003764; NA0003525
OSTI ID:
1658600
Alternate ID(s):
OSTI ID: 1658640
Journal Information:
Physics of Plasmas, Vol. 27, Issue 9; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (38)

Stabilization of Liner Implosions via a Dynamic Screw Pinch journal July 2020
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field journal May 2010
The production and evolution of multiple converging radiative shock waves in gas-filled cylindrical liner z-pinch experiments journal March 2013
Rayleigh–Taylor instability of a plasma–vacuum boundary in the limit of a large Larmor radius journal February 1991
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners journal May 2011
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field journal May 2014
Technique for fabrication of ultrathin foils in cylindrical geometry for liner-plasma implosion experiments with sub-megaampere currents journal November 2015
Waves and instabilities in weak inhomogeneous ideal Hall-magnetohydrodynamic plasmas journal June 2005
Helical plasma striations in liners in the presence of an external axial magnetic field journal February 2016
Implosion dynamics of wire array Z-pinches: experiments at Imperial College journal November 2004
Effects of magnetic shear on magneto-Rayleigh-Taylor instability journal February 2012
Observations of Modified Three-Dimensional Instability Structure for Imploding z -Pinch Liners that are Premagnetized with an Axial Field journal December 2013
Seeded and unseeded helical modes in magnetized, non-imploding cylindrical liner-plasmas journal October 2016
Implosion dynamics and radiation characteristics of wire-array Z pinches on the Cornell Beam Research Accelerator journal January 2009
Instability growth in magnetically imploded high-conductivity cylindrical liners with material strength journal October 2002
Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability journal June 2011
Discrete helical modes in imploding and exploding cylindrical, magnetized liners journal December 2016
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the Z Accelerator journal September 2012
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion journal October 2014
Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches journal January 2011
Electrothermal instability growth in magnetically driven pulsed power liners journal September 2012
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility journal October 2010
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion journal May 2013
Helical instability in MagLIF due to axial flux compression by low-density plasma journal June 2018
Coupling of sausage, kink, and magneto-Rayleigh-Taylor instabilities in a cylindrical liner journal March 2015
The Hall instability in accelerated plasma channels journal January 2004
The physics of fast Z pinches journal January 2000
Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch journal May 2018
Magnetically Driven Implosions for Inertial Confinement Fusion at Sandia National Laboratories journal December 2012
Three-Dimensional, Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer journal July 1984
Nonlinear Rayleigh–Taylor instabilities in fast Z pinches journal March 2009
High-Gain Magnetized Inertial Fusion journal January 2012
Experimental Demonstration of the Stabilizing Effect of Dielectric Coatings on Magnetically Accelerated Imploding Metallic Liners journal February 2016
Diagnostic and Power Feed Upgrades to the MAIZE Facility journal November 2018
The electro-thermal stability of tantalum relative to aluminum and titanium in cylindrical liner ablation experiments at 550 kA journal March 2018
Anode–Cathode Asymmetry in a Wire-Array $Z$-Pinch: Highly Resolved Axial-Shear-Flow Structure Observed on the Outer Edges of Ablating Wires journal November 2011
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field journal January 1962
Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability journal December 2014