A mathematical model is proposed for the determination of non-stationary characteristics of the cleaning process of industrial liquids in magnetic filters. The theoretical investigation which provides the determination of the variation of the captured particles both with time and along the filter matrix is based on the general filtration equations. Considering the properties of the magnetic filtration process, non-stationary filtration equations involve the capturing and detachment coefficients of the particles in the filter matrix. The effect of the filter length on the magnetic filter performance is also presented. The obtained expressions make possible to compare the experimental and the expected theoretical results.