METHOD OF SOLUTION OF A SYSTEM
OF EQUATIONS DESCRIBING THE CONTINUOUS
PROCESS OF POLYMERIZATION UNDER CONDITIONS
OF A POLYADDITION REACTION

G. A. Aminova, M. D. Bronshtein, G. V. Manuiko, 
T. V. Ignashina, V. V. Davydova, O. V. Antonova,
G. S. D'yakonov, I. G. Reshetova, and
N. E. Kharitonova

UDC 66.021.3.06

A method of solution of a system of equations which describe 
the continuous process of polymerization of butadiene on a cobalt 
catalyst accompanied by the polyaddition reaction is proposed. The 
moments of second and third orders as functions of the distribution 
of macromolecules by the degree of polymerization and the number of 
active centers in each reactor are compared. The values of the conversion 
of a monomer for which the moments go to infinity (which means gelation 
in the reactor) are determined. The solution is based on the replacement 
of variables which made it possible to reduce the equation of the 
fourth degree for the moments to a quadratic equation and to single 
out the branch corresponding to the actual process. The algebraic 
transformations and calculation were carried out with the use of the 
Matematika 3.0 package.

Kazan State Technological University, Kazan, Russia; email: 
natali@kstu.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 75, No. 4, pp. 165-169, July-August, 2002. Original article 
submitted August 22, 2001; revision submitted January 18, 2001.

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