MATHEMATICAL MODELING OF THE POLYMERIZATION OF BUTADIENE ON NEODYMIUM-CONTAINING CATALYST SYSTEMS

Abstract

A mathematical model of the synthesis of butadiene rubber in a continuous reactor under the action of a neodymium-containing catalytic system has been described. The mechanism of the process has been identified. An infinite number of ordinary differential equations, describing infinite number of the reaction components, has been used. Using the method of statistical moments, the infinite system of ordinary differential equations has been reduced to a system with a finite number of equations. Thus, it becomes solvable. On the basis of the mathematical model, the values of the monomer concentrations versus the polymerization time have been constructed, and the values of number average and weight average molecular weights have been found.