Mathematical Modelling of Ziegler-Natta Catalyzed Polyethylene Production in a Fluidized Bed Reactor using the Probability Generating Function (PGF) Technique
Keywords:
linear low-density polyethylene, gas-phase reactor, mathematical modellingAbstract
Polyethylene is a versatile polymer widely produced via gas-phase fluidized bed reactors due to their efficiency and flexibility. This work presents a mathematical model of the linear low-density polyethylene production in a gas-phase reactor using 1-butene as the comonomer and Ziegler-Natta catalyst. Assuming perfect mixing, the model incorporates two types of active sites with distinct kinetic constants, leading to a set of population balance equations. Polymer molecular properties are calculated using the method of moments and the probability generating function technique. The model is implemented in Julia and validated with experimental data from an industrial reactor.
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Copyright (c) 2025 Maira L. Dietrich, Mariano Asteasuain, Claudia Sarmoria

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