Polyethylene tubular reactor mathematical model

Mathematical Model of Low Density Polyethylene Tubular Reactor... 

Donati, G., L. Marini, G. Marziano, C. Mazzaferri, M. Spampinato and E. Langianni. Mathematical Model of Low Polyethylene Tubular Reactor Chemical Reaction Engineering (ACS Symposium Series 196, J. Wei and C. Georgakis, eds.), American Chemical Society, Washington, D.C., (1981), 579-590. 

Mavridis H. and S. Valtaras. Mathematical Modeling and Optimization of a High-Pressure Polyethylene Tubular Reactor, Diploma Thesis, University of Thessaloniki (1984). 

A mathematical model was developed, able to predict monomer conversion and temperature profiles of industrial tubular reactors for the production of low-density polyethylene, in different operating conditions. 

Free-radical high-pressure LDPE tubular reactors can be modelled in terms of a system of non-linear differential equations. Over the past twenty years, several modelling studies have been reported in the literature (Thies and Schoenemann I 1Agrawal and Han I 2j, Chen et al. 1 3H, Thies 1 4], Lee and Marano l5J, Donati et al. 1 6J, Goto et al. 7J, Yoon and Rhee [ S y Gupta et al. 9 ). In the present work, a detailed mathematical model is developed for an LDPE tubular reactor. The variation of the physical properties of the reaction mixture with position is accounted for. The elements of the model are the reaction mechanism, the mass, energy and momentum balances, and the moments of live and dead polymer distributions. Polyethylene is produced via the following set of elementary reactions k. 

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