Исследование устойчивости химического реактора полимеризации этилена

Abstract

The chemical reactor is the main and most complex object in the management of the technological process of polymerization. When designing chemical reactors, it is necessary to select design and operating parameters that will be able to provide the only or most stable state with the specified process characteristics. To study the stability of the ethylene polymerization process in an autoclave reactor with a stirrer, it is necessary to build a mathematical model based on the analysis of the physico-chemical laws of the process and search for the necessary steady-state conditions for the reactor. A solution based on a deterministic mathematical model of ethylene polymerization is proposed. The description of the process of polymer molecule formation, which includes the stages of initiation, growth and chain breakage; the mechanism of chemical kinetics of ethylene polymerization; a system of assumptions to simplify the construction of a mathematical model. The mathematical model of an ethylene polymerization reactor in an autoclave reactor with a stirrer is a system of differential equations. When calculating the static reactor mode, the mathematical description contains a system of nonlinear algebraic equations, the solution of which is implemented using numerical methods. It is noted that chemical reactors can have not one, but several stationary states at the same values of variables and parameters. Knowing the coordinates of the stationary states of the chemical process, you can choose the one that is more preferable from the point of view of productivity or the quality of the products produced. As a result of the simulation, the existence of a single solution under the conditions found that ensure a stable stationary state of the chemical ethylene polymerization reactor is confirmed.