The Fluid Theory of Self-Sustaining Magnetically Confined Electron Clouds (I) Fluid Equations

Abstract：

In this paper the axisymmetrical self-sustaining magnetically confined electron clouds are studied by means of the fluid theory. The electron clouds are maintained by the Penning discharge. The property of the electron motion in the clouds can be described with the fluid equations containing the continuity equation, the momentum equation, the energy equation, the Poisson equation and the heat transfer equation. The diffusion and escape of electrons and the energy transport in the electron clouds are discussed.