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Title: A semi-analytic model of gas-puff liner-on-target magneto-inertial fusion

Abstract

A semi-analytic model is presented for the gas-puff Staged Z-pinch, a magneto-inertial fusion concept in which an annular gas-puff liner implodes onto a deuterium or deuterium-tritium target. The one-dimensional model is a modification of the semi-analytic model for MagLIF (SAMM) [R. D. McBride and S. A. Slutz, Phys. Plasmas 22, 052708 (2015)], that addresses the different set of physics inherent to a Staged Z-pinch implosion: azimuthal magnetic field transport, shock heating of the fuel, separate ion and electron energy equations, and a simplified radiation model that approximates the liner transition from optically thin to optically thick. Following the explanation of the model, three sample problems are presented: first, a Staged Z-pinch implosion on the Zebra driver (1 MA, 100 ns) is modeled and compared with the HYDRA simulation results; second, the MagLIF point design is modeled and compared to the original simulation results [S. A. Slutz et al., Phys. Plasmas 17, 056303 (2010)] and results from SAMM; and third, we conduct a simple parameter scan and scaling study for a Staged Z-pinch implosion on the LTD-III driver (0.8 MA, 160 ns). Here, some agreement with HYDRA and SAMM is obtained, and deuterium-deuterium (DD) neutron yield scaling with current is consistentmore » with other existing models and HYDRA simulations.« less

Authors:
ORCiD logo [1];  [2];  [1]; ORCiD logo [1];  [3];  [1];  [1]
  1. Univ. of California, San Diego, La Jolla, CA (United States). Center for Energy Research
  2. Magneto-Inertial Fusion Technologies, Inc., Irvine, CA (United States)
  3. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Nuclear Engineering and Radiological Sciences
Publication Date:
Research Org.:
Univ. of California, San Diego, La Jolla, CA (United States)
Sponsoring Org.:
USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1574129
Alternate Identifier(s):
OSTI ID: 1502260
Grant/Contract Number:  
NA0003842; 00000569
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 3; 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

Narkis, J., Rahman, H. U., Valenzuela, J. C., Conti, F., McBride, R. D., Venosa, D., and Beg, F. N. A semi-analytic model of gas-puff liner-on-target magneto-inertial fusion. United States: N. p., 2019. Web. doi:10.1063/1.5086056.
Narkis, J., Rahman, H. U., Valenzuela, J. C., Conti, F., McBride, R. D., Venosa, D., & Beg, F. N. A semi-analytic model of gas-puff liner-on-target magneto-inertial fusion. United States. doi:10.1063/1.5086056.
Narkis, J., Rahman, H. U., Valenzuela, J. C., Conti, F., McBride, R. D., Venosa, D., and Beg, F. N. Wed . "A semi-analytic model of gas-puff liner-on-target magneto-inertial fusion". United States. doi:10.1063/1.5086056. https://www.osti.gov/servlets/purl/1574129.
@article{osti_1574129,
title = {A semi-analytic model of gas-puff liner-on-target magneto-inertial fusion},
author = {Narkis, J. and Rahman, H. U. and Valenzuela, J. C. and Conti, F. and McBride, R. D. and Venosa, D. and Beg, F. N.},
abstractNote = {A semi-analytic model is presented for the gas-puff Staged Z-pinch, a magneto-inertial fusion concept in which an annular gas-puff liner implodes onto a deuterium or deuterium-tritium target. The one-dimensional model is a modification of the semi-analytic model for MagLIF (SAMM) [R. D. McBride and S. A. Slutz, Phys. Plasmas 22, 052708 (2015)], that addresses the different set of physics inherent to a Staged Z-pinch implosion: azimuthal magnetic field transport, shock heating of the fuel, separate ion and electron energy equations, and a simplified radiation model that approximates the liner transition from optically thin to optically thick. Following the explanation of the model, three sample problems are presented: first, a Staged Z-pinch implosion on the Zebra driver (1 MA, 100 ns) is modeled and compared with the HYDRA simulation results; second, the MagLIF point design is modeled and compared to the original simulation results [S. A. Slutz et al., Phys. Plasmas 17, 056303 (2010)] and results from SAMM; and third, we conduct a simple parameter scan and scaling study for a Staged Z-pinch implosion on the LTD-III driver (0.8 MA, 160 ns). Here, some agreement with HYDRA and SAMM is obtained, and deuterium-deuterium (DD) neutron yield scaling with current is consistent with other existing models and HYDRA simulations.},
doi = {10.1063/1.5086056},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 3,
volume = 26,
place = {United States},
year = {2019},
month = {3}
}

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Works referenced in this record:

Semi-analytic model of plasma-jet-driven magneto-inertial fusion
journal, March 2017

  • Langendorf, Samuel J.; Hsu, Scott C.
  • Physics of Plasmas, Vol. 24, Issue 3
  • DOI: 10.1063/1.4977913

HELIOS-CR – A 1-D radiation-magnetohydrodynamics code with inline atomic kinetics modeling
journal, May 2006

  • MacFarlane, J. J.; Golovkin, I. E.; Woodruff, P. R.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3
  • DOI: 10.1016/j.jqsrt.2005.05.031

Ignition conditions for magnetized target fusion in cylindrical geometry
journal, January 2000


Magnetohydrodynamic behavior of thermonuclear fuel in a preconditioned electron beam imploded target
journal, January 1981


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
  • DOI: 10.1063/1.3333505

The evaporation of spherical clouds in a hot gas. I - Classical and saturated mass loss rates
journal, January 1977

  • Cowie, L. L.; McKee, C. F.
  • The Astrophysical Journal, Vol. 211
  • DOI: 10.1086/154911

Control of the Rayleigh–Taylor instability in a staged Z pinch
journal, December 2004

  • Rahman, H. U.; Ney, P.; Rostoker, N.
  • Physics of Plasmas, Vol. 11, Issue 12
  • DOI: 10.1063/1.1814998

Magneto-Inertial Fusion
journal, November 2015


Spherically Imploding Plasma Liners as a Standoff Driver for Magnetoinertial Fusion
journal, May 2012

  • Hsu, S. C.; Awe, T. J.; Brockington, S.
  • IEEE Transactions on Plasma Science, Vol. 40, Issue 5
  • DOI: 10.1109/TPS.2012.2186829

A review of the dense Z -pinch
journal, June 2011


Shock formation in Ne, Ar, Kr, and Xe on deuterium gas puff implosions
journal, December 2016

  • Narkis, J.; Rahman, H. U.; Ney, P.
  • Physics of Plasmas, Vol. 23, Issue 12
  • DOI: 10.1063/1.4972547

Shock waves in a Z-pinch and the formation of high energy density plasma
journal, December 2012

  • Rahman, H. U.; Wessel, F. J.; Ney, P.
  • Physics of Plasmas, Vol. 19, Issue 12
  • DOI: 10.1063/1.4769264

Parameter space for magnetized fuel targets in inertial confinement fusion
journal, March 1983


An extended study of the ignition design space of magnetized target fusion
journal, March 2017


The fundamental parameter space of controlled thermonuclear fusion
journal, May 2009

  • Lindemuth, Irvin R.; Siemon, Richard E.
  • American Journal of Physics, Vol. 77, Issue 5
  • DOI: 10.1119/1.3096646

Characterization of a Liner-on-Target Gas Injector for Staged Z-Pinch Experiments
journal, November 2018

  • Conti, F.; Valenzuela, J. C.; Aybar, N.
  • IEEE Transactions on Plasma Science, Vol. 46, Issue 11
  • DOI: 10.1109/TPS.2018.2856748

High-gain, low-intensity ICF targets for a charged-particle beam fusion driver
journal, January 1981


The Sheared-Flow Stabilized Z-Pinch
journal, January 2012

  • Shumlak, U.; Chadney, J.; Golingo, R. P.
  • Fusion Science and Technology, Vol. 61, Issue 1T
  • DOI: 10.13182/FST12-A13407

Staged Z Pinch
journal, January 1995

  • Rahman, H. U.; Wessel, F. J.; Rostoker, N.
  • Physical Review Letters, Vol. 74, Issue 5, p. 714-717
  • DOI: 10.1103/PhysRevLett.74.714

Staged Z pinch for controlled fusion
journal, February 2001

  • Ney, P.; Rahman, H. U.; Wessel, F. J.
  • Physics of Plasmas, Vol. 8, Issue 2
  • DOI: 10.1063/1.1339230

A High-Density Field Reversed Configuration Plasma for Magnetized Target Fusion
journal, February 2004

  • Intrator, T. P.; Park, J. Y.; Degnan, J. H.
  • IEEE Transactions on Plasma Science, Vol. 32, Issue 1
  • DOI: 10.1109/TPS.2004.823974

Resource Letter IMCF-1: Inertially and magnetically confined fusion
journal, February 2000

  • Post, Richard F.
  • American Journal of Physics, Vol. 68, Issue 2
  • DOI: 10.1119/1.19397

Magnetically insulated inertial fusion: A new approach to controlled thermonuclear fusion
journal, January 1986


The ignition design space of magnetized target fusion
journal, December 2015


Improved formulas for fusion cross-sections and thermal reactivities
journal, April 1992


The formation of high-density z-pinches
journal, June 1978


A semi-analytic model of magnetized liner inertial fusion
journal, May 2015

  • McBride, Ryan D.; Slutz, Stephen A.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4918953

Determination of the ionization and dissociation energies of the deuterium molecule (D2)
journal, April 2010

  • Liu, Jinjun; Sprecher, Daniel; Jungen, Christian
  • The Journal of Chemical Physics, Vol. 132, Issue 15
  • DOI: 10.1063/1.3374426

Investigation of magnetic flux transport and shock formation in a staged Z-pinch
journal, October 2017

  • Narkis, J.; Rahman, H. U.; Wessel, F. J.
  • Physics of Plasmas, Vol. 24, Issue 10
  • DOI: 10.1063/1.4997917

Magnetic flux and heat losses by diffusive, advective, and Nernst effects in magnetized liner inertial fusion-like plasma
journal, April 2015

  • Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T.
  • Physics of Plasmas, Vol. 22, Issue 4
  • DOI: 10.1063/1.4916777

Exploring magnetized liner inertial fusion with a semi-analytic model
journal, January 2016

  • McBride, R. D.; Slutz, S. A.; Vesey, R. A.
  • Physics of Plasmas, Vol. 23, Issue 1
  • DOI: 10.1063/1.4939479

Deuterium gas puff Z-pinch at currents of 2 to 3 mega-ampere
journal, March 2012

  • Klir, D.; Shishlov, A. V.; Kubes, P.
  • Physics of Plasmas, Vol. 19, Issue 3
  • DOI: 10.1063/1.3696859

The physics of fast Z pinches
journal, January 2000


The physics of burn in magnetized deuterium-tritium plasmas: spherical geometry
journal, February 1986


Implosion and ignition of magnetized cylindrical targets driven by heavy-ion beams
journal, December 2002


An alternative scaling model for neutron production in Z-pinch devices
journal, November 2012

  • Bures, Brian L.; Krishnan, Mahadevan
  • Physics of Plasmas, Vol. 19, Issue 11
  • DOI: 10.1063/1.4764894

Neutron production and implosion characteristics of a deuterium gas-puff Z pinch
journal, February 2007

  • Coverdale, C. A.; Deeney, C.; Velikovich, A. L.
  • Physics of Plasmas, Vol. 14, Issue 2
  • DOI: 10.1063/1.2446177

Electron-ion thermal equilibration after spherical shock collapse
journal, August 2009


A Review of the Gas-Puff <inline-formula> <tex-math notation="LaTeX">$Z$ </tex-math></inline-formula>-Pinch as an X-Ray and Neutron Source
journal, August 2015


Three-dimensional HYDRA simulations of National Ignition Facility targets
journal, May 2001

  • Marinak, M. M.; Kerbel, G. D.; Gentile, N. A.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1356740