One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners

Awe, T J; Adams, C S; Davis, J S; Hanna, D S; Hsu, S C; Cassibry, J T

doi:10.1063/1.3610374

Title: One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners

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Abstract

One-dimensional radiation-hydrodynamic simulations are performed to develop insight into the scaling of stagnation pressure with initial conditions of an imploding spherical plasma shell or ''liner.'' Simulations reveal the evolution of high-Mach-number (M), annular, spherical plasma flows during convergence, stagnation, shock formation, and disassembly, and indicate that cm- and {mu}s-scale plasmas with peak pressures near 1 Mbar can be generated by liners with initial kinetic energy of several hundred kilo-joules. It is shown that radiation transport and thermal conduction must be included to avoid non-physical plasma temperatures at the origin which artificially limit liner convergence and, thus, the peak stagnation pressure. Scalings of the stagnated plasma lifetime ({tau}{sub stag}) and average stagnation pressure (P{sub stag}, the pressure at the origin, averaged over {tau}{sub stag}) are determined by evaluating a wide range of liner initial conditions. For high-M flows, {tau}{sub stag} {approx} {Delta}R/v{sub 0}, where {Delta}R and v{sub 0} are the initial liner thickness and velocity, respectively. Furthermore, for argon liners, P{sub stag} scales approximately as v{sub 0}{sup 15/4} over a wide range of initial densities (n{sub 0}) and as n{sub 0}{sup 1/2} over a wide range of v{sub 0}. The approximate scaling P{sub stag} {approx} M{sup 3/2} is also found formore »« less

Authors:

Awe, T J; Adams, C S; Davis, J S; Hanna, D S; Hsu, S C ^[1]; Cassibry, J T ^[2]

Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Propulsion Research Center, Technology Hall S-226, University of Alabama in Huntsville, Huntsville, Alabama 35899 (United States)

Publication Date:: Fri Jul 15 00:00:00 EDT 2011

OSTI Identifier:: 22046890

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 18; Journal Issue: 7; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; APPROXIMATIONS; ARGON; ELECTRON TEMPERATURE; ION TEMPERATURE; MACH NUMBER; ONE-DIMENSIONAL CALCULATIONS; PLASMA; PLASMA DENSITY; PLASMA JETS; PLASMA PRESSURE; PLASMA PRODUCTION; PLASMA SIMULATION; RADIANT HEAT TRANSFER; RADIATION TRANSPORT; SHOCK WAVES; SPHERICAL CONFIGURATION; THERMAL CONDUCTION

Citation Formats


                    Awe, T J, Adams, C S, Davis, J S, Hanna, D S, Hsu, S C, and Cassibry, J T. One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners.  United States: N. p., 2011. 
        Web.  doi:10.1063/1.3610374.

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                    Awe, T J, Adams, C S, Davis, J S, Hanna, D S, Hsu, S C, & Cassibry, J T. One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners.  United States.  https://doi.org/10.1063/1.3610374

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                    Awe, T J, Adams, C S, Davis, J S, Hanna, D S, Hsu, S C, and Cassibry, J T. 2011.  
        "One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners".  United States.  https://doi.org/10.1063/1.3610374.

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@article{osti_22046890,

  title        = {One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners},

  author       = {Awe, T J and Adams, C S and Davis, J S and Hanna, D S and Hsu, S C and Cassibry, J T},

  abstractNote = {One-dimensional radiation-hydrodynamic simulations are performed to develop insight into the scaling of stagnation pressure with initial conditions of an imploding spherical plasma shell or ''liner.'' Simulations reveal the evolution of high-Mach-number (M), annular, spherical plasma flows during convergence, stagnation, shock formation, and disassembly, and indicate that cm- and {mu}s-scale plasmas with peak pressures near 1 Mbar can be generated by liners with initial kinetic energy of several hundred kilo-joules. It is shown that radiation transport and thermal conduction must be included to avoid non-physical plasma temperatures at the origin which artificially limit liner convergence and, thus, the peak stagnation pressure. Scalings of the stagnated plasma lifetime ({tau}{sub stag}) and average stagnation pressure (P{sub stag}, the pressure at the origin, averaged over {tau}{sub stag}) are determined by evaluating a wide range of liner initial conditions. For high-M flows, {tau}{sub stag} {approx} {Delta}R/v{sub 0}, where {Delta}R and v{sub 0} are the initial liner thickness and velocity, respectively. Furthermore, for argon liners, P{sub stag} scales approximately as v{sub 0}{sup 15/4} over a wide range of initial densities (n{sub 0}) and as n{sub 0}{sup 1/2} over a wide range of v{sub 0}. The approximate scaling P{sub stag} {approx} M{sup 3/2} is also found for a wide range of liner-plasma initial conditions.},

  doi          = {10.1063/1.3610374},

  url          = {https://www.osti.gov/biblio/22046890},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 7,

  volume       = 18,

  place        = {United States},

  year         = {Fri Jul 15 00:00:00 EDT 2011},

  month        = {Fri Jul 15 00:00:00 EDT 2011}

}

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