Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions
Abstract
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.
- Authors:
-
- Univ. of Michigan, Ann Arbor, MI (United States)
- Cornell Univ., Ithaca, NY (United States)
- Publication Date:
- Research Org.:
- Cornell Univ., Ithaca, NY (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1901949
- Alternate Identifier(s):
- OSTI ID: 1902487
- Grant/Contract Number:
- NA0003764; NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 29; Journal Issue: 12; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 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
Citation Formats
Woolstrum, J. M., Seyler, C. E., and McBride, R. D. Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions. United States: N. p., 2022.
Web. doi:10.1063/5.0103651.
Woolstrum, J. M., Seyler, C. E., & McBride, R. D. Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions. United States. https://doi.org/10.1063/5.0103651
Woolstrum, J. M., Seyler, C. E., and McBride, R. D. Fri .
"Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions". United States. https://doi.org/10.1063/5.0103651. https://www.osti.gov/servlets/purl/1901949.
@article{osti_1901949,
title = {Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions},
author = {Woolstrum, J. M. and Seyler, C. E. and McBride, R. D.},
abstractNote = {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.},
doi = {10.1063/5.0103651},
journal = {Physics of Plasmas},
number = 12,
volume = 29,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2022},
month = {Fri Dec 02 00:00:00 EST 2022}
}
Works referenced in this record:
Stabilization of Liner Implosions via a Dynamic Screw Pinch
journal, July 2020
- Campbell, Paul C.; Jones, T. M.; Woolstrum, J. M.
- Physical Review Letters, Vol. 125, Issue 3
Lower hybrid wave phenomena associated with density depletions
journal, January 1994
- Seyler, C. E.
- Journal of Geophysical Research, Vol. 99, Issue A10
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976
- Strauss, H. R.
- Physics of Fluids, Vol. 19, Issue 1
Effect of axial magnetic flux compression on the magnetic Rayleigh-Taylor instability (theory)
conference, January 2014
- Ryutov, D. D.; Awe, T. J.; Hansen, S. B.
- 9TH INTERNATIONAL CONFERENCE ON DENSE Z PINCHES, AIP Conference Proceedings
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field
journal, May 2010
- Slutz, S. A.; Herrmann, M. C.; Vesey, R. A.
- Physics of Plasmas, Vol. 17, Issue 5
Effect of the axial magnetic field on a metallic gas-puff pinch implosion
journal, June 2016
- Rousskikh, A. G.; Zhigalin, A. S.; Oreshkin, V. I.
- Physics of Plasmas, Vol. 23, Issue 6
Additively manufactured electrodes for plasma and power-flow studies in high-power transmission lines on the 1-MA MAIZE facility
journal, May 2021
- Smith, T. J.; Campbell, P. C.; Dowhan, G. V.
- Review of Scientific Instruments, Vol. 92, Issue 5
Experimental studies of the shunting discharge developing during a foil explosion in vacuum
journal, April 2020
- Baksht, R. B.; Zhigalin, A. S.; Rousskikh, A. G.
- Physics of Plasmas, Vol. 27, Issue 4
Liner implosion experiments driven by a dynamic screw pinch
journal, August 2021
- Campbell, Paul C.; Jones, T. M.; Woolstrum, J. M.
- Physics of Plasmas, Vol. 28, Issue 8
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners
journal, May 2011
- Sinars, D. B.; Slutz, S. A.; Herrmann, M. C.
- Physics of Plasmas, Vol. 18, Issue 5
Reduced magnetofluid dynamics in the lower‐hybrid frequency range
journal, September 1991
- Seyler, C. E.
- Physics of Fluids B: Plasma Physics, Vol. 3, Issue 9
Hyperbolic Divergence Cleaning for the MHD Equations
journal, January 2002
- Dedner, A.; Kemm, F.; Kröner, D.
- Journal of Computational Physics, Vol. 175, Issue 2
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field
journal, May 2014
- Awe, T. J.; Jennings, C. A.; McBride, R. D.
- Physics of Plasmas, Vol. 21, Issue 5
A study of the foil explosion in vacuum using spectral streak camera diagnostics
journal, June 2021
- Baksht, R. B.; Tkachenko, S. I.; Zhigalin, A. S.
- Physics of Plasmas, Vol. 28, Issue 6
Waves and instabilities in weak inhomogeneous ideal Hall-magnetohydrodynamic plasmas
journal, June 2005
- Kolberg, Zohar; Liverts, Edward; Mond, Michael
- Physics of Plasmas, Vol. 12, Issue 6
A Primer on Pulsed Power and Linear Transformer Drivers for High Energy Density Physics Applications
journal, November 2018
- McBride, R. D.; Stygar, W. A.; Cuneo, M. E.
- IEEE Transactions on Plasma Science, Vol. 46, Issue 11
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
journal, November 2010
- Zhang, Xiangxiong; Shu, Chi-Wang
- Journal of Computational Physics, Vol. 229, Issue 23
Effects of magnetic shear on magneto-Rayleigh-Taylor instability
journal, February 2012
- Zhang, Peng; Lau, Y. Y.; Rittersdorf, I. M.
- Physics of Plasmas, Vol. 19, Issue 2
Review of pulsed power-driven high energy density physics research on Z at Sandia
journal, July 2020
- Sinars, D. B.; Sweeney, M. A.; Alexander, C. S.
- Physics of Plasmas, Vol. 27, Issue 7
Axial magnetic flux amplification in Hall-magnetohydrodynamic simulations of externally magnetized z-pinches
journal, September 2020
- Seyler, C. E.
- Physics of Plasmas, Vol. 27, Issue 9
Anomalous transport properties associated with the lower-hybrid-drift instability
journal, January 1975
- Davidson, R. C.; Gladd, N. T.
- Physics of Fluids, Vol. 18, Issue 10
Observations of Modified Three-Dimensional Instability Structure for Imploding -Pinch Liners that are Premagnetized with an Axial Field
journal, December 2013
- Awe, T. J.; McBride, R. D.; Jennings, C. A.
- Physical Review Letters, Vol. 111, Issue 23
Seeded and unseeded helical modes in magnetized, non-imploding cylindrical liner-plasmas
journal, October 2016
- Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M.
- Physics of Plasmas, Vol. 23, Issue 10
Instability growth in magnetically imploded high-conductivity cylindrical liners with material strength
journal, October 2002
- Reinovsky, R. E.; Anderson, W. E.; Atchison, W. L.
- IEEE Transactions on Plasma Science, Vol. 30, Issue 5
Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability
journal, June 2011
- Lau, Y. Y.; Zier, J. C.; Rittersdorf, I. M.
- Physical Review E, Vol. 83, Issue 6
Discrete helical modes in imploding and exploding cylindrical, magnetized liners
journal, December 2016
- Yager-Elorriaga, D. A.; Zhang, P.; Steiner, A. M.
- Physics of Plasmas, Vol. 23, Issue 12
The effect of lower hybrid instabilities on plasma confinement in fiber Z pinches
journal, April 1995
- Chittenden, J. P.
- Physics of Plasmas, Vol. 2, Issue 4
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the Accelerator
journal, September 2012
- McBride, R. D.; Slutz, S. A.; Jennings, C. A.
- Physical Review Letters, Vol. 109, Issue 13
Practical Improvements to the Lee-More Conductivity Near the Metal-Insulator Transition
journal, March 2001
- Desjarlais, M. P.
- Contributions to Plasma Physics, Vol. 41, Issue 2-3
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion
journal, October 2014
- Gomez, M. R.; Slutz, S. A.; Sefkow, A. B.
- Physical Review Letters, Vol. 113, Issue 15
Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches
journal, January 2011
- Seyler, C. E.; Martin, M. R.
- Physics of Plasmas, Vol. 18, Issue 1
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
- Sinars, D. B.; Slutz, S. A.; Herrmann, M. C.
- Physical Review Letters, Vol. 105, Issue 18
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion
journal, May 2013
- McBride, R. D.; Martin, M. R.; Lemke, R. W.
- Physics of Plasmas, Vol. 20, Issue 5
Electrothermal instability growth in magnetically driven pulsed power liners
journal, September 2012
- Peterson, Kyle J.; Sinars, Daniel B.; Yu, Edmund P.
- Physics of Plasmas, Vol. 19, Issue 9
Helical instability in MagLIF due to axial flux compression by low-density plasma
journal, June 2018
- Seyler, C. E.; Martin, M. R.; Hamlin, N. D.
- Physics of Plasmas, Vol. 25, Issue 6
The Hall instability in accelerated plasma channels
journal, January 2004
- Liverts, Edward; Mond, Michael
- Physics of Plasmas, Vol. 11, Issue 1
On the Choice of Wavespeeds for the HLLC Riemann Solver
journal, November 1997
- Batten, P.; Clarke, N.; Lambert, C.
- SIAM Journal on Scientific Computing, Vol. 18, Issue 6
The physics of fast pinches
journal, January 2000
- Ryutov, D. D.; Derzon, M. S.; Matzen, M. K.
- Reviews of Modern Physics, Vol. 72, Issue 1
Extended magnetohydrodynamics simulations of thin-foil Z-pinch implosions with comparison to experiments
journal, September 2020
- Woolstrum, J. M.; Yager-Elorriaga, D. A.; Campbell, P. C.
- Physics of Plasmas, Vol. 27, Issue 9
Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch
journal, May 2018
- Yager-Elorriaga, D. A.; Lau, Y. Y.; Zhang, P.
- Physics of Plasmas, Vol. 25, Issue 5
Self-consistent approach to anomalous resistivity applied to theta pinch experiments
journal, January 1973
- Liewer, Paulett C.
- Physics of Fluids, Vol. 16, Issue 11
Magnetically Driven Implosions for Inertial Confinement Fusion at Sandia National Laboratories
journal, December 2012
- Cuneo, M. E.; Herrmann, M. C.; Sinars, D. B.
- IEEE Transactions on Plasma Science, Vol. 40, Issue 12
Three-Dimensional, Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer
journal, July 1984
- Colombant, D.; Manheimer, W.; Ott, E.
- Physical Review Letters, Vol. 53, Issue 5
Nonlinear Rayleigh–Taylor instabilities in fast Z pinches
journal, March 2009
- Miles, Aaron R.
- Physics of Plasmas, Vol. 16, Issue 3
Experimental Demonstration of the Stabilizing Effect of Dielectric Coatings on Magnetically Accelerated Imploding Metallic Liners
journal, February 2016
- Awe, T. J.; Peterson, K. J.; Yu, E. P.
- Physical Review Letters, Vol. 116, Issue 6
The electro-thermal stability of tantalum relative to aluminum and titanium in cylindrical liner ablation experiments at 550 kA
journal, March 2018
- Steiner, Adam M.; Campbell, Paul C.; Yager-Elorriaga, David A.
- Physics of Plasmas, Vol. 25, Issue 3
The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes
journal, July 2000
- Tóth, Gábor
- Journal of Computational Physics, Vol. 161, Issue 2
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field
journal, January 1962
- Harris, E. G.
- Physics of Fluids, Vol. 5, Issue 9