On 2D droplets of magnetic fluid supported by a magnetized wedge

V. V. Kiryushin

Institute of Mechanics of the M.V.Lomonosov Moscow State University, 119899, Moscow, Russia

Abstract
A 2D problem about equilibrium shapes of magnetic fluid drops located between two parallel planes in a strong nonuniform magnetic field generated by a magnetized wedge has been considered. The wedge is magnetized by an external uniform field. In general case the fluid droplet is affected by the pressure difference. The magnetic field is found using the complex variable technique. It is shown that the magnetic field of the wedge can support the droplets not exceeding a certain maximum volume. The dependencies of the maximum droplet volume on the gap width, the pressure difference and the magnetic field and dependencies of force acting on one of the planes on the gap width and the droplet volume have been found numerically and presented graphically. Figs 5, refs 9.