Abstract:In article, the methodology of mathematical modeling of periodic reactors with agitating in the conditions of formation and sedimentation of insoluble solid phase in a working zone on the basis of diffusive model is suggested. Also equations for calculation of the general concentration and average order of clusters of insoluble phase in the periodic reactor are offered. The methodology of calculation of processes of insoluble solid phase aggregation in systems with chemical reactions of the first and pseudo-first orders is developed, namely: equation for calculation of evolution of total clusters' number and average order of globules in system are developed, by taking into account kinetic constants of chemical reaction and elements of aggregation matrix.