The force acting on a drop in a conducting liquid when there is an electric current (Q1316701)

The motion of a spherical drop in a gradient unsteady flow of viscous liquid moving in the magnetic field of a spatially non-uniform electric current flowing through the liquid, which contains drops and which generates Lorentz vortex forces, is considered. The conductivity of the drop differs from that of the carrying liquid, in view of which each drop produces a local non-uniformity in the electromagnetic-field distribution, which has a considerable effect on the flow around the drop. A formula is obtained for the force acting on the drop using the method of solving Stokes equations containing vortex volume forces.