Abstract
Organic synthesis enterprises in Russia produce approximately two million tons of polypropylene, which is used for the production of various pipes, films, containers, bags, etc. It is produced by polymerization of propylene on Ziegler-Natta metal catalysts. Due to the exothermic effect of the polymerization reaction, there is a possibility of overheating of the polymer particles relative to the solution, which is dangerous for the polymer quality and the process regime. The paper gives an example of application of the mathematical model in the field of prediction of polymer particle growth, which allows to increase the accuracy of the data obtained at the output by an order of magnitude and is the basis of the calculation complex and the system of prediction of physical and mechanical properties of polypropylene. We consider a variant of the model with simplifications allowing analytical solutions of monomer material balance equations in the particle. This model contains equations for mass and heat transfer coefficients (βp, αp), equations of thermophysical properties of components and mixture (Cp, ρ, λ, μ). A comparison of the effect of reaction rates and mass transfer on the growth of polymer particles in the liquid-phase polymerization of propylene on titanium-magnesium catalyst Ziegler-Natta, which is titanium tetrachloride fixed on the surface of the carrier - magnesium dichloride. On the basis of the obtained data, a mathematical model in Wolfram Mathematica environment was constructed. It is revealed that for all values for which formulas in the mathematical model are proposed, it is possible to calculate.
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