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Title: Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer

For this study, a four-chord interferometer and measurements from an array of surface-mounted magnetic probes were used in conjunction with equations of radial heat conduction and radial force balance to calculate the equilibrium evolution of a pinch plasma in the ZaP Flow Z-Pinch. A multiple shooting method was used to solve the nonlinear coupled differential equation system, with Ohmic heating and bremsstrahlung radiation as sources and sinks, respectively. Data from a single ZaP pulse are reported including profiles of magnetic field and temperature and their evolution. Profiles are dominated by high thermal conductivity near the axis which quickly decreases with radius. This is due to the plasma being weakly magnetized near the axis which increases thermal conductivity and flattens the temperature profile, but strongly magnetized near the characteristic radius, significantly reducing thermal conductivity and resulting in a large temperature gradient. The equilibrium evolution indicates that plasmas in ZaP heat and compress with increasing current as a result of magnetic compression during the quiescent period.
Authors:
 [1] ;  [2] ;  [2] ; ORCiD logo [2]
  1. Univ. of Washington, Seattle, WA (United States); Pennsylvania State Univ., University Park, PA (United States). Applied Research Lab.
  2. Univ. of Washington, Seattle, WA (United States). Aerospace and Energetics Research Program
Publication Date:
Grant/Contract Number:
NA0001860
Type:
Accepted Manuscript
Journal Name:
IEEE Transactions on Plasma Science
Additional Journal Information:
Journal Volume: 43; Journal Issue: 8; Journal ID: ISSN 0093-3813
Publisher:
IEEE
Research Org:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; equilibrium evolution; interferometry; pinch oscillation; plasma heating; Z-pinch; plasmas; measurement by laser beam; laser beams; conductors; probes; density measurements
OSTI Identifier:
1465209

Knecht, Sean D., Golingo, Raymond P., Nelson, Brian A., and Shumlak, Uri. Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer. United States: N. p., Web. doi:10.1109/TPS.2015.2431973.
Knecht, Sean D., Golingo, Raymond P., Nelson, Brian A., & Shumlak, Uri. Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer. United States. doi:10.1109/TPS.2015.2431973.
Knecht, Sean D., Golingo, Raymond P., Nelson, Brian A., and Shumlak, Uri. 2015. "Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer". United States. doi:10.1109/TPS.2015.2431973. https://www.osti.gov/servlets/purl/1465209.
@article{osti_1465209,
title = {Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer},
author = {Knecht, Sean D. and Golingo, Raymond P. and Nelson, Brian A. and Shumlak, Uri},
abstractNote = {For this study, a four-chord interferometer and measurements from an array of surface-mounted magnetic probes were used in conjunction with equations of radial heat conduction and radial force balance to calculate the equilibrium evolution of a pinch plasma in the ZaP Flow Z-Pinch. A multiple shooting method was used to solve the nonlinear coupled differential equation system, with Ohmic heating and bremsstrahlung radiation as sources and sinks, respectively. Data from a single ZaP pulse are reported including profiles of magnetic field and temperature and their evolution. Profiles are dominated by high thermal conductivity near the axis which quickly decreases with radius. This is due to the plasma being weakly magnetized near the axis which increases thermal conductivity and flattens the temperature profile, but strongly magnetized near the characteristic radius, significantly reducing thermal conductivity and resulting in a large temperature gradient. The equilibrium evolution indicates that plasmas in ZaP heat and compress with increasing current as a result of magnetic compression during the quiescent period.},
doi = {10.1109/TPS.2015.2431973},
journal = {IEEE Transactions on Plasma Science},
number = 8,
volume = 43,
place = {United States},
year = {2015},
month = {5}
}