Variational analysis of a plasma-arc armature inside a railgun solid-hydrogen-pellet accelerator for fueling fusion reactors

W. H. Choe, K. Kim

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)37-56
Number of pages20
JournalApplied Mathematics and Computation
Volume37
Issue number1
DOIs
StatePublished - May 1990

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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