The analytical model of the axially symmetrical flows of ideal two-component plasma in presence of the longitudinal magnetic field

The analytical model of steady-state two-dimensional flows in coaxial channels of plasma accelerators is considered in presence of the longitudinal magnetic field. The solution of plasma dynamics problem is obtained in the smooth channel approximation for the two-fluid MHD-equations of ideal plasma. There are examples of the nascent flows and the peculiarities of plasma dynamic processes are investigated. The results show that the region of anodic sub-flow and Hall effect influence are decreased by the longitudinal magnetic field and plasma rotation.