The influence of electron inertia on the incompressible plasma flow in a planar channel

The single-fluid model of the electromagnetic hydrodynamics (EMHD) quasineutral plasma with electron inertia taken into account are considered in the paper. EMHD and MHD models comparison has done on the example of solving the classical problem of a steady flow of an incompressible plasma in a plane channel. In MHD theory the solution is given by Hartman flow. In EMHD diagram of the longitudinal velocity, as shown in the work, can be significantly different from the profile of Hartman. In particular, there are near-wall and counter flow and flow velocity may significantly deviate from the direction anti-gradient pressure, forcing the plasma flow (hydrodynamic “Hall effect”). The study showed that the EMHD and MHD flat channel theories are practically the same for liquid metal plasma and very different for gas plasma.