Two-Dimensional Incompressible Magneto-Hydrodynamic Flow Across an Elliptical Solenoid

摘要

An analysis has been made of the two-dimensional flow of an incompressible, constant-conductivity fluid through an elliptically-shaped solenoid containing a constant magnetic field directed normal to the flow plane. The effect of both Hall current and ion slip has been included in the Ohm’s Law used for the fluid.nIt was found that in zero order, there is a force but no moment on the solenoid. In the first order in s, where the flow field changes but the magnetic field does not, there is a moment and a force, the latter being antiparallel to the zero order force.