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PRS Scoping Study 1. Scaling Law Estimates for K-Shell Radiation Yields on JUPITER-Class Generators

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The radiation output from krypton, argon, and xenon z-pinch loads are calculated for JUPITER-class generators using an amended version of the Whitney, et al., K-shell yield scaling law. The present version, termed J-scaling law, is directed toward JUPITER predictions and includes a dependence on the final radius as well as a smooth yield fall off for weak implosions. When combined with a circuit model and a thin shell model for the plasma pinch dynamics, comparisons and predictions of yields can be made for specific machines. Comparisons with existing aluminum data on DOUBLE EAGLE and SATURN demonstrate the veracity of the J-scaling law. A simple equivalent circuit with variable driving voltage is used to predict the trend of K-shell yield with increasing load current. In general, for JUPITER-class machines 30 - 100 MAAr is in the efficient I squared scaling regime, xenon is in the weak I to the 4th power regime, and Kr is a transition radiator. Candidate transmission line circuits for the Linear Inductive Adder LIA and the modular Inductive Energy Store IES JUPITER designs are investigated in detail. Load currents, voltages, and coupled kinetic energies are calculated as a function of MR sub 0 squared. These calculations are then combined with the J-scaling law to predict K-shell yields for the transmission line circuits. Variations of the standard candidate point are also investigated specifically, the effects of a larger front end inductance, of eliminating a closing switch in the LIA, and of increasing the conduction time on the IES.

Subject Categories:

  • Electric Power Production and Distribution
  • Nuclear Weapons
  • Plasma Physics and Magnetohydrodynamics

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