In this work steady-state flow of hydrodynamic plasma in plane-parallel channel is obtained. The plasma in channel is taken to be viscous electrically conducting noncompressible two-component and quasineutral. By MHD-limit, the stationary flow presented converge to famous Hartmann's flow. The flow obtained, is shown, is superposition of two modulated oscillations, which amplitudes and frequencies are calculated. In channel, is shown also, the steady-state plasma flow is directed of such angles to the pressure’s gradient ( it is a peculiar kind of Hall’s effect) and velocity’s profile is not flat. At last, the cases of electron-positron plasma, large and small density, large and small cross-magnetic field are considered.

Mathematical modelling in actual problems of science and technics