Theory and computational model of a glow discharge in cylindrical configuration with axial magnetic field is presented. This kind of glow discharges is close to the Penning direct current discharge. Electro-dynamic model of such kind of a normal glow discharge is formulated. The model consists of continuity equations for electron and ion fluids, the Poisson equation for the self-consistent electric field, and equation for gas temperature. Numerical simulation algorithm developed in the author's computer code is described and discussed. Numerical simulation results are presented for two-dimensional glow discharge at various initial conditions. The results are obtained for molecular nitrogen at pressure 2÷5 Torr, Emf of power supply 1 kV, and magnetic field induction B = 0÷0.1 Tl. It is shown that in axial magnetic field an azimuthal oppositely directed gyration of ions and electrons in the glow discharge are observed. The objective of this work is to study the performance of the normal current density low in glow discharge in an axial magnetic field, as well as patterns of counter-rotating ion and electron fluids in imposing on a normal glow discharge axial magnetic field.
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