Ideal hydrodynamic scaling relations for a stagnated imploding spherical plasma liner formed by an array of merging plasma jets

摘要: This work presents scaling relations for the peak thermal pressure and stagnation time (over which is sustained) an imploding spherical plasma liner formed by array of merging jets. Results were derived from three-dimensional (3D) ideal hydrodynamic simulation results obtained using smoothed particle hydrodynamics code SPHC. The 3D compared to equivalent one-dimensional (1D) results. It found that scales linearly with number jets initial jet density Mach number, quadratically radius velocity, inversely length square chamber wall radius. approximately as divided velocity. Differences between 1D are attributed inclusion transport, ionization, perfect symmetry in simulations. A subset reported here design basis Plasma Liner Experiment [S. C. Hsu et al., Phys. Plasmas 19, 123514 (2012)].