Parameters of Equilibrium Spectrum of Particles in Coagulating System with Aggregate Disintegration

The formation of equilibrium spectrum of particles in a disperse system with the coagulation–fragmentation of aggregates at a steady-state shear flow was analyzed in terms of two-fraction model. It was suggested that an initial dispersed phase contains only small particles coagulating by the Brownian mechanism; the growth of larger aggregates proceeds by the gradient mechanism and is accompanied by the detachment of fragments. Parameters of equilibrium spectrum characterizing average masses and the number of particles in fine and coarse fractions were determined as functions of a flow shear rate, aggregate fractal dimension, parameters of particle interaction in aggregates, and the properties of the initial dispersed phase.