Volume 43 Issue 5
May  2023
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XUE Chuang, NING Cheng, PENG Xianjue. Zero-dimensional modeling of the underwater electrical explosion of wires[J]. Explosion And Shock Waves, 2023, 43(5): 054202. doi: 10.11883/bzycj-2022-0171
Citation: XUE Chuang, NING Cheng, PENG Xianjue. Zero-dimensional modeling of the underwater electrical explosion of wires[J]. Explosion And Shock Waves, 2023, 43(5): 054202. doi: 10.11883/bzycj-2022-0171

Zero-dimensional modeling of the underwater electrical explosion of wires

doi: 10.11883/bzycj-2022-0171
  • Received Date: 2022-04-22
  • Rev Recd Date: 2022-07-05
  • Available Online: 2022-07-07
  • Publish Date: 2023-05-05
  • The physical mechanism of electrically exploding wires has caused much attention recently; fruitful experimental results have been reported by domestic researchers. Modeling and studying of the electrical metal wire explosion problems can help to understand the basic physics of Z pinches and other related magnetically driven plasma problems, and to evaluate the parameters of the state equation and electrical conductivity. A zero-dimensional (0D) dynamical model of the underwater electrical wire explosion is developed, in which the single wire is modeled as a plasma cylinder undergoing self-similar radial motion with uniform density, temperature and pressure, while its velocity varies linearly with radius. The kinetic equation and internal energy equation are derived from the hydrodynamic equations and used as the basic governing equations. To close the 0D model, other parameters are supplemented, with the real gas quotidian equation of state (QEOS) model for pressure and internal energy, the modified Lee-More electrical conductivity model for resistivity, and an external circuit model for the current density. The boundary conditions are constructed from the shock Hugoniot relations in water, the pressure at the wire boundary is assumed to be equal to the water pressure behind the shock. The calculations are carried out from a cold start of wires with density and temperature in laboratory status. Results of the 0D model are validated by comparing with the results from simulations of one-dimensional (1D) magneto-hydrodynamic (MHD) model and experiments. Examples of electrical explosion of copper wires in water are taken in the applications, the rise time of the short-circuit current pulse is 5 μs and the wires vary from 50 μm to 200 μm in diameter. Results from the 0D-dynamical model agree well with the MHD simulation results and experimental data, typical discharging modes are achieved by varying the parameters of the wires. The 0D model can be used for parameters optimizing and data analysis in similar experiments.
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