Open AccessMathematical model of solid impurity coagulation processes in liquid suspensions based on random function convolution operation
Author(s) -
E. N. Menshov
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/734/1/012217
Subject(s) - coagulation , convolution (computer science) , function (biology) , process (computing) , mathematical model , mathematics , impurity , computer science , biological system , mathematical optimization , statistical physics , chemistry , physics , statistics , artificial intelligence , psychology , organic chemistry , psychiatry , evolutionary biology , artificial neural network , biology , operating system
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.