Control of a magnetizable body in a magnetic fluid droplet by the tilt of an external uniform magnetic field

We examine how the position of a magnetizable body in a magnetic fluid droplet resting on a horizontal plane can be controlled by the tilt of an external uniform magnetic field. The paper presents experiments that demonstrate the levitation of the body in a drop and uses an analytical model in which the results are obtained numerically. The impact of problem parameters, such as intensity, direction of the magnetic field, and drop volume, on the levitation height of the body is studied both theoretically and experimentally. It is discovered that there is a set of parameter values required to levitate the body. Theoretical results are in qualitative agreement with the experimentally observed levitation heights.