Modeling and Simulation of Ethylene and 1-Butene Copolymerization in Solution with a Ziegler-Natta Catalyst

A comprehensive mathematical model for the ethylene/1-butene polymerization in solution with Ziegler-Natta catalyst is developed. The process comprises a series of continuously stirred and tubular reactors in which polyethylene resins with different properties may be produced. The mechanistic model considers the moments of the bivariant molecular weight distribution in order to ascertain the average molecular weight and polydispersity. The polymer quality is verified through the melt index, density and stress exponent, which is a measure of the polydispersity. The model developed investigates the stationary and dynamic behavior of the process following step changes in feed conditions. It allows for the prediction of non-linear and inverse responses, encouraging the use of the model for optimization and control purposes.