Variation of specific radiative power with electron temperature and thickness (i.e., opacity) for a uniform slab argon plasma with ion density . Note the much greater effect at low temperature where L-shell emission dominates.
Profiles are from simulations of Z machine titanium experiments at . The initial radius of the Ti wire array was and the total mass is . The calculated ion density, mean charge state, and electron temperature at the time of peak K-shell power , the time of peak total power , and the minimum radius are shown for (a) the multigroup LTE radiation diffusion model. (b) The same quantities for the CRE ionization dynamics model with radiation transport. The peak total and K-shell power occur at the minimum radius.
Energy component history for a typical MACH2 simulation. The run-in, KE thermalization, and on-axis implosion phases are identified.
Equivalent circuit model for Decade Quad. and are the fixed machine resistance and inductance, respectively. Likewise and are the time-dependent load parameters.
K-shell yield and power as a function of 1D radial zone resolution. The calculations are for a diameter uniform fill load driven by the DQ circuit. The load is in length and its mass is .
(a) PLIF measured radial ion density profiles at the anode, midplane, and cathode planes for DQ shot 549, which used a diameter nozzle without a central jet. (b) Profile with the central jet at the same mass. DQ560-563 used similar profiles.
1D calculated K-shell power contributions from the anode, cathode, and midplane for DQ561, which was a experiment. The sum of these contributions is also shown and the total calculated yield was .
Experimental and 1D calculated K-shell powers and implosion times for shots DQ560-563. The simulated K-shell powers are time-shifted by the difference between calculated and experimental implosion times in order to align with experimental K-shell powers.
Experimental and 2D calculated K-shell powers and implosion times for shots DQ560-563. The simulated K-shell powers are time-shifted by the difference between calculated and experimental implosion times in order to align with experimental K-shell powers.
1D, 2D, and experimental K-shell powers and yields for DQ549, which was a diameter double-shell nozzle load without a central jet.
(Color online) Calculated two-dimensional ion density contours at the time of peak K-shell power for DQ561 (central jet). is in units of .
(Color online) Calculated two-dimensional ion density contours at the time of peak K-shell power for DQ549 (no central jet). is in units of .
Comparison of 1D and 2D ion density radial profiles. The 2D calculations are averaged axially.
Comparison of calculated 1D and 2D electron temperature radial profiles. The 2D calculations are mass averaged axially.
Mass-per-unit length as a function of axial position for DQ561 (central jet, length) and DQ549 (no central jet, length). Initial values are shown in gray and values at the time of peak K-shell power are displayed in black.
1D, 2D, and experimental K-shell yields, powers, and implosion times for Z shots 663 and 662, which used an diameter double-shell nozzle without a central jet. The simulated K-shell power is time-shifted by the difference between calculated and experimental implosion times in order to align with experimental K-shell powers.
1D and 2D calculated K-shell yields and powers for ⟨1200⟩, ⟨1600⟩, and length loads employing a diameter, double-shell nozzle with a central jet and driven by an equivalent circuit model for ZR. Peak powers are aligned for the purposes of this figure.
Summary of shot and figure parameters used in calculations discussed in this investigation. A: diameter nozzle without a central jet; B: diameter nozzle with a central jet; C: diameter double shell nozzle without a central jet. DQ, Z, and ZR refer to Decade Quad, the Z machine, and the ZR machine, respectively. Note, the initial plasma radius extends beyond the outer radius of the nozzle.
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