Summary form only given, as follows. The Los Alamos foil implosion program has the goal of producing an intense high-energy density X-ray source by converting the energy of a magnetically imploded plasma into radiation and material energy. One of the methods for converting the kinetic energy of the plasma into thermal energy and radiation and utilizing it for experiments is called the "flying radiation case (FRC)." In this paper we shall model the FRC and provide a physical description of the processes involved.