Falling magnetizable bead in a Newtonian fluid

The use of magnetic fields allows to modify the trajectory of magnetizable particles in a fluid. If a ring magnet is centered on the cylinder containing the fluid, it enhances the dynamics of a falling ball, and an equilibrium position is found. To compute the particle dynamics, the magnetic force should be found accurately: a method based on virtual works allows to obtain the force as well as the stiffness matrix, to gain accuracy. The computed trajectories are compared to the experimental ones for Newtonian fluids at first, and extended to viscoplastic fluids.