Diffusion skin effects in ultrahigh velocity laminated current collectors

Abstract

Transient and steady state effects of diffusion and transport are analyzed in a high velocity current collector. The current is assumed to flow through the stationary conductor into the trailing edge of the collector. The general two-dimensional magnetic transport equation is solved both for transient motion with an arbitrarily specified velocity and for constant velocity. The current distribution and the magnetic field in the feeding conductor and the laminated collector are found analytically for steady motion and numerically for transient motion. At low velocity the diffusion skin effect dominates, allowing the current to diffuse into the collector. As the velocity increases, the velocity transport effect becomes dominant and tends to concentrate the current in the trailing edge of the collector.