Mathematical model of solid impurity coagulation processes in liquid suspensions based on random function convolution operation

摘要

Methodology of modeling and identification of mathematical model of process of coagulation of solid impurities in liquid suspensions on the basis of linear mathematical apparatus-convolution of random functions is presented.The non-linearity of the coagulation process is taken into account by the mathematical model of the second level,namely,the time dependence of the weighted random convolution function,which is a characteristic of the type of coagulation and physico-geometric parameters of technical systems for cleaning liquid media.This approach has proven itself in applied problems,provides a solution to the problems of calculating and optimizing cleaning systems for arbitrary initial distributions of the dispersed composition of particles,and is characterized by reduced time and resource costs.