Математическое моделирование процесса полимеризации этилена в автоклавном реакторе с мешалкой

Abstract

Building a mathematical model of the polymerization reactor is necessary to determine the dependencies between the input variables, the technological mode and the output variables of the ethylene polymerization process in an autoclave reactor with a stirrer, as well as to analyze the effect of the reactor design parameters on efficiency. A deterministic mathematical model developed on the basis of analysis of the physico-chemical regularities of the ethylene polymerization process is proposed to solve these problems. There is shown a schematic diagram of ethylene polymerization indicating the flows of substances and energy, a description of the process, the mechanism of chemical kinetics of ethylene polymerization, a system of assumptions simplifying the construction of a mathematical model, equations of a mathematical model of an ethylene polymerization reactor in an autoclave reactor with a stirrer. The autoclave ethylene polymerization reactor is presented as a cascade of ideal mixing apparatus to describe each of the reactor zones. The rates of chemical reactions of initiation, growth and chain breakage are expressed in accordance with the law of acting masses. The mathematical model in its final form is a system of ordinary differential equations for describing each of the reactor zones. The initial numerical values of variables and parameters for modeling ethylene polymerization in the autoclave reactor are given. The results of numerical experiments are shown, and the influence of various factors on the output variables of the ethylene polymerization process is investigated. The proposed mathematical model can be used to optimize the technological regime of the ethylene polymerization process in an autoclave reactor with a stirrer, as well as to analyze the influence of the design parameters of the reactor on its efficiency.