Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions

Woolstrum, J. M.; Seyler, C. E.; McBride, R. D.

doi:10.1063/5.0103651

Title: Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions

Journal Article · Fri Dec 02 00:00:00 EST 2022 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0103651· OSTI ID:1901949

^[1];

^[2];

^[1]

Univ. of Michigan, Ann Arbor, MI (United States)
Cornell Univ., Ithaca, NY (United States)

Helical magneto-Rayleigh–Taylor instability (MRTI) structures have been observed in z-pinch-driven liner implosion experiments with a pre-imposed axial magnetic field. We show that the formation of these helical structures can be described by a Hall magnetohydrodynamical (HMHD) model. We used the 3D extended magnetohydrodynamics simulation code PERSEUS (which includes Hall physics) [Seyler and Martin, Phys. Plasmas 18, 012703 (2011)] to study these helical instabilities and show that a Hall interchange instability in low-density coronal plasma immediately surrounding the dense liner is responsible for producing helically oriented effects in the magnetic field and current density within the coronal layer. This seeds the helical pitch angle of the MRTI even when other proposed helical seeding mechanisms are either not present in the experiments or not accounted for in the simulations. For example, this mechanism does not require low-density power-feed plasmas to be swept in from large radius or the development of electrothermal instabilities. The Hall Instability is, thus, a new, independent explanation for the origin of the helical instabilities observed in axially premagnetized liner experiments. Simulation results supporting this mechanism are presented.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Cornell Univ., Ithaca, NY (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003764; NA0003525

OSTI ID:: 1901949

Alternate ID(s):: OSTI ID: 1902487

Journal Information:: Physics of Plasmas, Vol. 29, Issue 12; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (48)

Stabilization of Liner Implosions via a Dynamic Screw Pinch Campbell, Paul C.; Jones, T. M.; Woolstrum, J. M. Physical Review Letters, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRevLett.125.035001	journal	July 2020
Lower hybrid wave phenomena associated with density depletions Seyler, C. E. Journal of Geophysical Research, Vol. 99, Issue A10 https://doi.org/10.1029/94JA01572	journal	January 1994
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks Strauss, H. R. Physics of Fluids, Vol. 19, Issue 1 https://doi.org/10.1063/1.861310	journal	January 1976
Effect of axial magnetic flux compression on the magnetic Rayleigh-Taylor instability (theory) Ryutov, D. D.; Awe, T. J.; Hansen, S. B. 9TH INTERNATIONAL CONFERENCE ON DENSE Z PINCHES, AIP Conference Proceedings https://doi.org/10.1063/1.4904778	conference	January 2014
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field Slutz, S. A.; Herrmann, M. C.; Vesey, R. A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3333505	journal	May 2010
Effect of the axial magnetic field on a metallic gas-puff pinch implosion Rousskikh, A. G.; Zhigalin, A. S.; Oreshkin, V. I. Physics of Plasmas, Vol. 23, Issue 6 https://doi.org/10.1063/1.4953048	journal	June 2016
Additively manufactured electrodes for plasma and power-flow studies in high-power transmission lines on the 1-MA MAIZE facility Smith, T. J.; Campbell, P. C.; Dowhan, G. V. Review of Scientific Instruments, Vol. 92, Issue 5 https://doi.org/10.1063/5.0043856	journal	May 2021
Experimental studies of the shunting discharge developing during a foil explosion in vacuum Baksht, R. B.; Zhigalin, A. S.; Rousskikh, A. G. Physics of Plasmas, Vol. 27, Issue 4 https://doi.org/10.1063/1.5139083	journal	April 2020
Liner implosion experiments driven by a dynamic screw pinch Campbell, Paul C.; Jones, T. M.; Woolstrum, J. M. Physics of Plasmas, Vol. 28, Issue 8 https://doi.org/10.1063/5.0044906	journal	August 2021
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3560911	journal	May 2011
Reduced magnetofluid dynamics in the lower‐hybrid frequency range Seyler, C. E. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 9 https://doi.org/10.1063/1.859616	journal	September 1991
Hyperbolic Divergence Cleaning for the MHD Equations Dedner, A.; Kemm, F.; Kröner, D. Journal of Computational Physics, Vol. 175, Issue 2 https://doi.org/10.1006/jcph.2001.6961	journal	January 2002
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field Awe, T. J.; Jennings, C. A.; McBride, R. D. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872331	journal	May 2014
A study of the foil explosion in vacuum using spectral streak camera diagnostics Baksht, R. B.; Tkachenko, S. I.; Zhigalin, A. S. Physics of Plasmas, Vol. 28, Issue 6 https://doi.org/10.1063/5.0044667	journal	June 2021
Waves and instabilities in weak inhomogeneous ideal Hall-magnetohydrodynamic plasmas Kolberg, Zohar; Liverts, Edward; Mond, Michael Physics of Plasmas, Vol. 12, Issue 6 https://doi.org/10.1063/1.1933758	journal	June 2005
A Primer on Pulsed Power and Linear Transformer Drivers for High Energy Density Physics Applications McBride, R. D.; Stygar, W. A.; Cuneo, M. E. IEEE Transactions on Plasma Science, Vol. 46, Issue 11 https://doi.org/10.1109/TPS.2018.2870099	journal	November 2018
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes Zhang, Xiangxiong; Shu, Chi-Wang Journal of Computational Physics, Vol. 229, Issue 23 https://doi.org/10.1016/j.jcp.2010.08.016	journal	November 2010
Effects of magnetic shear on magneto-Rayleigh-Taylor instability Zhang, Peng; Lau, Y. Y.; Rittersdorf, I. M. Physics of Plasmas, Vol. 19, Issue 2 https://doi.org/10.1063/1.3680646	journal	February 2012
Review of pulsed power-driven high energy density physics research on Z at Sandia Sinars, D. B.; Sweeney, M. A.; Alexander, C. S. Physics of Plasmas, Vol. 27, Issue 7 https://doi.org/10.1063/5.0007476	journal	July 2020
Axial magnetic flux amplification in Hall-magnetohydrodynamic simulations of externally magnetized z-pinches Seyler, C. E. Physics of Plasmas, Vol. 27, Issue 9 https://doi.org/10.1063/5.0011833	journal	September 2020
Anomalous transport properties associated with the lower-hybrid-drift instability Davidson, R. C.; Gladd, N. T. Physics of Fluids, Vol. 18, Issue 10 https://doi.org/10.1063/1.861021	journal	January 1975
Observations of Modified Three-Dimensional Instability Structure for Imploding $z$ -Pinch Liners that are Premagnetized with an Axial Field Awe, T. J.; McBride, R. D.; Jennings, C. A. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.235005	journal	December 2013
Seeded and unseeded helical modes in magnetized, non-imploding cylindrical liner-plasmas Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M. Physics of Plasmas, Vol. 23, Issue 10 https://doi.org/10.1063/1.4965240	journal	October 2016
Instability growth in magnetically imploded high-conductivity cylindrical liners with material strength Reinovsky, R. E.; Anderson, W. E.; Atchison, W. L. IEEE Transactions on Plasma Science, Vol. 30, Issue 5 https://doi.org/10.1109/TPS.2002.805418	journal	October 2002
Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability Lau, Y. Y.; Zier, J. C.; Rittersdorf, I. M. Physical Review E, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevE.83.066405	journal	June 2011
Discrete helical modes in imploding and exploding cylindrical, magnetized liners Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M. Physics of Plasmas, Vol. 23, Issue 12 https://doi.org/10.1063/1.4969082	journal	December 2016
The effect of lower hybrid instabilities on plasma confinement in fiber Z pinches Chittenden, J. P. Physics of Plasmas, Vol. 2, Issue 4 https://doi.org/10.1063/1.871401	journal	April 1995
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the $Z$ Accelerator McBride, R. D.; Slutz, S. A.; Jennings, C. A. Physical Review Letters, Vol. 109, Issue 13 https://doi.org/10.1103/PhysRevLett.109.135004	journal	September 2012
Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition Desjarlais, M. P. Contributions to Plasma Physics, Vol. 41, Issue 2-3 https://doi.org/10.1002/1521-3986(200103)41:2/3<267::AID-CTPP267>3.0.CO;2-P	journal	March 2001
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion Gomez, M. R.; Slutz, S. A.; Sefkow, A. B. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.155003	journal	October 2014
Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches Seyler, C. E.; Martin, M. R. Physics of Plasmas, Vol. 18, Issue 1 https://doi.org/10.1063/1.3543799	journal	January 2011
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physical Review Letters, Vol. 105, Issue 18 https://doi.org/10.1103/PhysRevLett.105.185001	journal	October 2010
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion McBride, R. D.; Martin, M. R.; Lemke, R. W. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803079	journal	May 2013
Electrothermal instability growth in magnetically driven pulsed power liners Peterson, Kyle J.; Sinars, Daniel B.; Yu, Edmund P. Physics of Plasmas, Vol. 19, Issue 9 https://doi.org/10.1063/1.4751868	journal	September 2012
Helical instability in MagLIF due to axial flux compression by low-density plasma Seyler, C. E.; Martin, M. R.; Hamlin, N. D. Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5028365	journal	June 2018
The Hall instability in accelerated plasma channels Liverts, Edward; Mond, Michael Physics of Plasmas, Vol. 11, Issue 1 https://doi.org/10.1063/1.1628688	journal	January 2004
On the Choice of Wavespeeds for the HLLC Riemann Solver Batten, P.; Clarke, N.; Lambert, C. SIAM Journal on Scientific Computing, Vol. 18, Issue 6 https://doi.org/10.1137/S1064827593260140	journal	November 1997
The physics of fast $Z$ pinches Ryutov, D. D.; Derzon, M. S.; Matzen, M. K. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.167	journal	January 2000
Extended magnetohydrodynamics simulations of thin-foil Z-pinch implosions with comparison to experiments Woolstrum, J. M.; Yager-Elorriaga, D. A.; Campbell, P. C. Physics of Plasmas, Vol. 27, Issue 9 https://doi.org/10.1063/5.0012170	journal	September 2020
Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch Yager-Elorriaga, D. A.; Lau, Y. Y.; Zhang, P. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5017849	journal	May 2018
Self-consistent approach to anomalous resistivity applied to theta pinch experiments Liewer, Paulett C. Physics of Fluids, Vol. 16, Issue 11 https://doi.org/10.1063/1.1694240	journal	January 1973
Magnetically Driven Implosions for Inertial Confinement Fusion at Sandia National Laboratories Cuneo, M. E.; Herrmann, M. C.; Sinars, D. B. IEEE Transactions on Plasma Science, Vol. 40, Issue 12 https://doi.org/10.1109/TPS.2012.2223488	journal	December 2012
Three-Dimensional, Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer Colombant, D.; Manheimer, W.; Ott, E. Physical Review Letters, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevLett.53.446	journal	July 1984
Nonlinear Rayleigh–Taylor instabilities in fast Z pinches Miles, Aaron R. Physics of Plasmas, Vol. 16, Issue 3 https://doi.org/10.1063/1.3088020	journal	March 2009
Experimental Demonstration of the Stabilizing Effect of Dielectric Coatings on Magnetically Accelerated Imploding Metallic Liners Awe, T. J.; Peterson, K. J.; Yu, E. P. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.065001	journal	February 2016
The electro-thermal stability of tantalum relative to aluminum and titanium in cylindrical liner ablation experiments at 550 kA Steiner, Adam M.; Campbell, Paul C.; Yager-Elorriaga, David A. Physics of Plasmas, Vol. 25, Issue 3 https://doi.org/10.1063/1.5012891	journal	March 2018
The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes Tóth, Gábor Journal of Computational Physics, Vol. 161, Issue 2 https://doi.org/10.1006/jcph.2000.6519	journal	July 2000
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field Harris, E. G. Physics of Fluids, Vol. 5, Issue 9 https://doi.org/10.1063/1.1724473	journal	January 1962

Similar Records

Observations of Modified Three-Dimensional Instability Structure for Imploding

z

-Pinch Liners that are Premagnetized with an Axial Field

Journal Article · Tue Dec 03 00:00:00 EST 2013 · Physical Review Letters · OSTI ID:1901949

Awe, T. J.; McBride, R. D.; Jennings, C. A.; +18 more

Design of dynamic screw pinch experiments for magnetized liner inertial fusion

Journal Article · Fri Oct 04 00:00:00 EDT 2019 · Physics of Plasmas · OSTI ID:1901949

Shipley, Gabriel A.; Jennings, Christopher Ashley; Schmit, Paul F.

Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches

Journal Article · Tue Feb 20 00:00:00 EST 2024 · Physics of Plasmas · OSTI ID:1901949

Shipley, G. A.; Ruiz, D. E.; Jennings, C. A.; +2 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Plasma confinement
Circuit theorems
Plasma production
Flow instabilities
Fundamental constants
Hall effect
Plasma properties and parameters
Plasma instabilities
Magnetohydrodynamics
Speed of sound

Title: Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions

Citation Formats

References (48)

Similar Records

Related Subjects