Muzzle voltage and contact potential in plasma armature railguns

The voltages measured at the muzzle of a railgun have values greater than those calculated from the one-dimensional models for railgun plasma armatures. This excess voltage is attributed to the contact potential and has a value of several tens of volts. The use of experimentally measured muzzle voltage to determine plasma properties has required that this contact potential be subtracted in order to obtain meaningful results. A two-dimensional model of the plasma armature has been analyzed which shows that a portion of this excess voltage arises as a result of the reduced conductivity in the thermal boundary layer of the rail. Another portion arises from the speed voltage and is confined to a region near the rails within the velocity boundary layer thickness. The voltage drop in the boundary layer is not constant along the length of the armature, and the implications of this effect of the boundary conditions for one- and two-dimensional models of the railgun plasma armature are discussed