Testing the mean magnetization approximation, dimensionless and scaling numbers in magnetorheology.

The mean magnetization (MM) approximation is undoubtedly the most widely used approximation in magnetorheology both from theoretical and simulation perspectives. According to this, spherical magnetizable particles under field can be replaced by effective dipole moments m placed at their center with strength m = V(p)⟨M(p)⟩. Here V(p) and ⟨M(p)⟩ are the volume and mean (average) magnetization of the particles, respectively.