### Abstract

The physical properties of a plasma-arc armature inside a hydrogen-pellet injector composed of a two-stage electromagnetic railgun are calculated by solving appropriate governing equations under simplifying assumptions. A variational method is employed to solve the temperature equation with the constraints that the variational integral must be minimized for a given plasma arc current and that the global enthalpy must be conserved. The magnetic field and the propulsive force of the railgun are calculated by modeling each current path as a composite of straight lines. The resulting railgun force is compared with the data from a recent hydrogen-pellet acceleration experiment at the University of Illinois, with reasonable agreement.

Original language | English (US) |
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Pages (from-to) | 37-56 |

Number of pages | 20 |

Journal | Applied Mathematics and Computation |

Volume | 37 |

Issue number | 1 |

DOIs | |

State | Published - May 1990 |

### ASJC Scopus subject areas

- Computational Mathematics
- Applied Mathematics