Analytical modeling of the biomass briquetting process in a closed channel

Annotation Purpose. Increasing the efficiency of biomass briquetting by developing, at the first stage, a graphic-analytical model of a shock-mechanical press with a closed matrix channel. Methods. Graphic-analytical modeling of impact pressing of biomass into briquettes in a closed channel of the matrix; linearization, according to which a non-linear function is replaced by a linear function; mathematical modeling, assumes the dependence of the degree of compaction of biomass on the magnitude of the shock load (impulse) and reveals the nonlinear nature of the resistance of biomass to shocks and deformations. Results. On the basis of the analysis, the main factors of the course of the biomass briquetting process in the closed matrix channel of the stamp press have been determined. The physical essence of obtaining briquettes from dispersed biomass is described. The developed graph-analytical model of biomass briquetting in the closed matrix of a stamp press is substantiated. The application of the method of linearization helps to simplify the mathematical model on the criterion of adequacy in relation to the real conditions of the process. Conclusions The developed graphic-analytical model of the process of briquetting of plant biomass in the closed matrix channel of the stamp press allows to find out in abstract form the physical essence of this complex phenomenon. According to the results of analytical modeling of the process of biomass compaction in the base with elastic properties it is established that the density of the briquette increases monotonically, asymptotically approaching the plastic state of the monolithic product. The application of the method of linearization of the nonlinear function F(y_1^((1) ) ) simplifies the analysis of the model on the length of the matrix channel in the interval (0; l_1 ), and the coefficient of linearization of the biomass resistance force is the basis of the mathematical model closed channel after each i-th blow. Keywords: briquette press, biomass, briquettes, shock method, stamp, closed channel, matrix, modeling, linearization.