The numerical model of the rotatory axisymmetrical plasma flows. The comparison with analytical model

The numerical model of two-dimensional flows in coaxial channels of plasma accelerators is considered in presence of the longitudinal magnetic field. Computations are based on the MHD-equations taking into account the Hall effect ($V_e\ne V_i$), electrical conductivity tensor and transport coefficients in magnetic field depending on the $\omega_e\tau_e$. The analytical and numerical solutions are analyzed and compared with reference to steady-state plasma flow in case of the ion current transport.