Steady State Numerical Solution of Magnetically Insulated Charge Flow in Coaxial Geometry.
Abstract
A vectorized, FORTRAN computer program has been written to calculate steady-state electron and ion fluxes as well as radial profiles of the magnetic and electric fields for specific practical radial diode and magnetically insulated vacuum feed line parameters. The numerical formulation is derived in part from the theoretical treatment of the topic by K.D. Bergeron. However, it differs from the treatment in several important respects, including: a correction in one of the key scaling expressions, a restructuring of the boundary conditions to allow for specific parametric solutions, and a more careful consideration of the regions near the anode and cathode surfaces and near the electron sheath boundary. In deriving these results, analytic approximations for the fields in these 'special' regions were developed. These approximate solutions permitted numerical treatment of the singularities there. Matching the approximations between the regions also provided first-order guesses for the gross steady-state operating characteristics. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 08, 1981
- Accession Number
- ADA108633
Entities
People
- Paul F. Ottinger
- R. J. Barker
Organizations
- United States Naval Research Laboratory