Ideal hydrodynamic scaling relations for a stagnated imploding spherical plasma liner formed by an array of merging plasma jets
arXiv:1303.0172 · doi:10.1063/1.4795732
Abstract
This work presents scaling relations for the peak thermal pressure and stagnation time (over which peak pressure is sustained) for an imploding spherical plasma liner formed by an array of merging plasma jets. Results were derived from three-dimensional (3D) ideal hydrodynamic simulation results obtained using the smoothed particle hydrodynamics code SPHC. The 3D results were compared to equivalent one-dimensional (1D) simulation results. It is found that peak thermal pressure scales linearly with the number of jets and initial jet density and Mach number, quadratically with initial jet radius and velocity, and inversely with the initial jet length and the square of the chamber wall radius. The stagnation time scales approximately as the initial jet length divided by the initial jet velocity. Differences between the 3D and 1D results are attributed to the inclusion of thermal transport, ionization, and perfect symmetry in the 1D simulations. A subset of the results reported here formed the initial design basis for the Plasma Liner Experiment [S. C. Hsu et al., Phys. Plasmas 19, 123514 (2012)].
31 pages, 9 figures, accepted for publication by Physics of Plasmas on Feb. 28, 2013
References in corpus (4)
- Experimental characterization of railgun-driven supersonic plasma jets motivated by high energy density physics applications
- Tendency of spherically imploding plasma liners formed by merging plasma jets to evolve toward spherical symmetry
- One-dimensional radiation-hydrodynamic scaling studies of imploding spherical plasma liners
- One-dimensional radiation-hydrodynamic simulations of imploding spherical plasma liners with detailed equation-of-state modeling
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- Experimental characterization of railgun-driven supersonic plasma jets motivated by high energy density physics applications
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- Experimental evidence for collisional shock formation via two obliquely merging supersonic plasma jets
- Experiment to Form and Characterize a Section of a Spherically Imploding Plasma Liner
- Laboratory plasma physics experiments using merging supersonic plasma jets
- Possible Energy Gain for a Plasma Liner-Driven Magneto-Inertial Fusion Concept
- Magnetized Plasma Target for Plasma-Jet-Driven Magneto-Inertial Fusion
- Experimental characterization of a section of a spherically imploding plasma liner formed by merging hypersonic plasma jets
- Semi-analytic model of plasma-jet-driven magneto-inertial fusion
- Physics Criteria for a Subscale Plasma Liner Experiment
- Experimental Study of Ion Heating in Obliquely Merging Hypersonic Plasma Jets