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Title: Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch

Abstract

Here, we present experimental results on axially magnetized (Bz = 0.5 – 2.0 T), thin-foil (400 nm-thick) cylindrical liner-plasmas driven with ~600 kA by the Michigan Accelerator for Inductive Z-Pinch Experiments, which is a linear transformer driver at the University of Michigan. We show that: (1) the applied axial magnetic field, irrespective of its direction (e.g., parallel or anti-parallel to the flow of current), reduces the instability amplitude for pure magnetohydrodynamic (MHD) modes [defined as modes devoid of the acceleration-driven magneto-Rayleigh-Taylor (MRT) instability]; (2) axially magnetized, imploding liners (where MHD modes couple to MRT) generate m = 1 or m = 2 helical modes that persist from the implosion to the subsequent explosion stage; (3) the merging of instability structures is a mechanism that enables the appearance of an exponential instability growth rate for a longer than expected time-period; and (4) an inverse cascade in both the axial and azimuthal wavenumbers, k and m, may be responsible for the final m = 2 helical structure observed in our experiments. Laslty, these experiments are particularly relevant to the magnetized liner inertial fusion program pursued at Sandia National Laboratories, where helical instabilities have been observed.

Authors:
 [1];  [2]; ORCiD logo [2];  [2]; ORCiD logo [2]; ORCiD logo [2];  [2]; ORCiD logo [2]
+ Show Author Affiliations
  1. Univ. of Michigan, Ann Arbor, MI (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1485836
Alternate Identifier(s):
OSTI ID: 1429580
Report Number(s):
SAND-2018-11188J
Journal ID: ISSN 1070-664X; 669582
Grant/Contract Number:  
AC04-94AL85000; SC0012328; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 5; 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

Citation Formats

Yager-Elorriaga, David Alexander, Lau, Y. Y., Zhang, Peng, Campbell, Paul C., Steiner, Adam M., Jordan, Nicholas M., McBride, Ryan D., and Gilgenbach, Ronald M. Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch. United States: N. p., 2018. Web. doi:10.1063/1.5017849.
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Yager-Elorriaga, David Alexander, Lau, Y. Y., Zhang, Peng, Campbell, Paul C., Steiner, Adam M., Jordan, Nicholas M., McBride, Ryan D., & Gilgenbach, Ronald M. Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch. United States. https://doi.org/10.1063/1.5017849
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Yager-Elorriaga, David Alexander, Lau, Y. Y., Zhang, Peng, Campbell, Paul C., Steiner, Adam M., Jordan, Nicholas M., McBride, Ryan D., and Gilgenbach, Ronald M. Mon . "Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch". United States. https://doi.org/10.1063/1.5017849. https://www.osti.gov/servlets/purl/1485836.
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@article{osti_1485836,
title = {Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch},
author = {Yager-Elorriaga, David Alexander and Lau, Y. Y. and Zhang, Peng and Campbell, Paul C. and Steiner, Adam M. and Jordan, Nicholas M. and McBride, Ryan D. and Gilgenbach, Ronald M.},
abstractNote = {Here, we present experimental results on axially magnetized (Bz = 0.5 – 2.0 T), thin-foil (400 nm-thick) cylindrical liner-plasmas driven with ~600 kA by the Michigan Accelerator for Inductive Z-Pinch Experiments, which is a linear transformer driver at the University of Michigan. We show that: (1) the applied axial magnetic field, irrespective of its direction (e.g., parallel or anti-parallel to the flow of current), reduces the instability amplitude for pure magnetohydrodynamic (MHD) modes [defined as modes devoid of the acceleration-driven magneto-Rayleigh-Taylor (MRT) instability]; (2) axially magnetized, imploding liners (where MHD modes couple to MRT) generate m = 1 or m = 2 helical modes that persist from the implosion to the subsequent explosion stage; (3) the merging of instability structures is a mechanism that enables the appearance of an exponential instability growth rate for a longer than expected time-period; and (4) an inverse cascade in both the axial and azimuthal wavenumbers, k and m, may be responsible for the final m = 2 helical structure observed in our experiments. Laslty, these experiments are particularly relevant to the magnetized liner inertial fusion program pursued at Sandia National Laboratories, where helical instabilities have been observed.},
doi = {10.1063/1.5017849},
journal = {Physics of Plasmas},
number = 5,
volume = 25,
place = {United States},
year = {Mon Mar 26 00:00:00 EDT 2018},
month = {Mon Mar 26 00:00:00 EDT 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1063/1.5017849
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Cited by: 21 works
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Figures / Tables:

TABLE I TABLE I: Summary of experimental configuration and results for non-imploding liners. The shadowgraphy column indicates whether the laser shadowgraphy system [1] was used. The instability growth rate was measured by fitting an exponential function to the time range indicated in the timing of fit column.
All figures and tables (11 total)
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Works referenced in this record:

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conference, January 2009

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    Figures / Tables found in this record:

    TABLE I (p. 25)table
    TABLE II (p. 26)table
    Figure 1 (p. 27)figure
    Figure 2 (p. 28)figure
    Figure 3 (p. 29)figure
    Figure 4 (p. 30)figure
    Figure 5 (p. 31)figure
    Figure 6 (p. 32)figure
    Figure 7 (p. 33)figure
    Figure 8 (p. 34)figure
    Figure 9 (p. 35)figure
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