SEARCH FOR THE OPTIMAL VALUE OF THE INITIAL CONCENTRATION OF DIISOBUTYLALUMINUM HYDRIDE FOR THE REGULATION OF THE POLYISOPRENE MOLECULAR MASS ON A NEODYMIUM-CONTAINING CATALYTIC SYSTEM
The article is devoted to finding the optimal value of the initial concentration of diisobutylaluminum hydride for the polymerization of isoprene on a neodymium-containing catalyst system. The authors present a kinetic diagram of the polymerization of isoprene on a neodymium-containing catalyst system using two types of organoaluminum compounds: triisobutylaluminum and diisobutylaluminum hydride. To study the patterns of the polymerization of isoprene, a kinetic model is constructed, that is, a system of ordinary differential equations expressing the dynamics of the concentration of particles involved in the process. The system of high-dimensional differential equations is reduced to the final form by applying the method of moments. The general statement of the problem of finding the optimal values of the initial concentrations of the substances of the chemical process is given. As a method for solving the optimization problem posed, evolutionary methods are used in the work, one of which is based on a genetic algorithm. A computational experiment was conducted for the polymerization of isoprene to find the optimal value of the initial concentration of diisobutylaluminum hydride in order to control the molecular weight of polyisoprene. It is shown that the calculated value of the concentration of diisobutylaluminium hydride provides achievement of the specified optimality criterion.