Influence of the fractal structure on the magnetic properties of the ferrofluid

E. Elfimova

Department of Mathematical Physics, Urals State University

Abstract
The magnetic fluid with fractal clusters is studied. Using the obtained magnetic field potential distribution inside a fractal aggregate, an effective magnetic permeability of a ferrofluid with fractal clusters is found. The equation of balance between free and aggregated particles is considered. The obtained average permeability of the ferrofluid with fractal clusters [μ] is compared with that of the ferrofluid with drop-like microstructures [μ]_Σ. The value [μ]_Σ has appeared larger than [μ]. The difference increases as the size of aggregates increases. Figs 6, Refs 13.