Mathematical Model of the Analyzer of Mechanical Impurities in Liquid Medium

Photometric-counting analyzers of mechanical impurities in a liquid medium are widely used in many industries, carrying out a dispersed analysis of technological particles with low weight concentration. The main parameters in determining the heterogeneous system are the concentration and size of particles (SP) of the dispersed system (DS). The analyzer based on a photometric-counting (FC) method of analysis of particles, suspended in liquid technological environments, which uses the photometry of light pulses scattered by a single particle, is considered. The distortion of the results of the analysis in this device is due to the influence of various factors affecting the measured value. Among them are: sample preparation, the adhesion of the analyzed particles, the presence of gas bubbles in an analyzed environment, the particle coincidence factor in the counting zone. Based on the random nature of all factors of distortion of measurement results in the FC-analyzer, its mathematical model is designed in the form of conditional density of probability distribution with the specified number and sizes of the measured particles. A simulation model of the analyzer has also been developed and a method for optimizing the structure and parameters of the analyzer based on the developed models has been proposed.