Transient electrostatic diffusion of disintegration products of radioactive noble gases in circular and flat channels

Abstract

An analysis to predict the fraction of penetration and electrostatic charge potential of disintegration products of radioactive noble gases was conducted under transient conditions for both a cylindrical tube and flat rectangular channel under variable charge parameters. Both diffusion and Poisson relations requisite for qualitative description were formulated for the respective geometries, and expressed in implicit, finite difference forms for efficient and convergent computational schemes for all spatial, temporal and variable parameters considered. For both tube and flat channel problems, the penetration was found to decrease and the electric potential increase as the electric charge increased for all transients up to steady state conditions. In comparison, the flat channel exhibited higher penetrations than the tube, as well as greater potentials and concentration levels.