Published

2004-01-01

Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization

Modelamiento de un reactor de lecho fluidizado para la copolimerización de etileno - propileno

DOI:

https://doi.org/10.15446/ing.investig.v24n1.14724

Keywords:

modelling simulation, fluidized bed reactor, Zielger-Natta catalyst, kinetic, active sites, deactivation, growth, emulsion, bubie, size distribution, perfectly mixed, plug flow (en)
modelamiento, simulación, reactor de lecho fluidizado, catalizador ZieglerNatta, cinética, sitios activos, desactivación, crecimiento, emulsión, burbuja, distribución de tamaños, mezcla perfecta, flujo pistón (es)

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Authors

  • Juan Guillermo Cadavid Estrada Universidad Nacional de Colombia
  • Alfonso Conde Cotes Universidad Nacional de Colombia

A mathematical model for the ethylene-propylene copolymerization with a Ziegler - Natta catalyst in a gas phase fluidized bed reactor is presented. The model includes a two active site kinetic model with spontaneous transfer reactions and site deactivation. Also, it is studied and simulated the growth of a polymeric particle which is exposed to an outside atmosphere (monomers concentrations and temperature) that represent the emulsion phase conditions of the reactor. Particle growth model is the basis for the Study of the sizes distribution into the reactor. Two phase model of Kunii - Levenspiel is the basis for the modeling and simulation of the fluid bed reactor, the models developed consider two extreme cases for the gas mixed grade in the emulsion phase (perfectly mixed and plug flow). The solution of the models includes mass (for the two monomers) and energy balances, coupled with the particle growth and residence time distribution models.

En este artículo se presenta el modelo matemático para un reactor de lecho fluidizado, en el cual se desarrolla la copolimerización entre etileno y propileno utilizando catalizadores Ziegler - Natta. El modelo incluye el planteamiento de la cinética de la copolimerización, considerando la existencia de dos tipos de sitios activos: reacciones de transferencia espontánea de actividad y reacciones de desactivación. También se estudia y se simula el crecimiento de una partícula polimérica expuesta a un ambiente (concentración de monómeros y temperatura) que representa las condiciones de la fase emulsiva del reactor de lecho fluidizado. A partir del modelo de crecimiento se plantea el estudio de la distribución de tamaños de partículas en el interior del reactor. El modelo de dos fases de Kunii - Levenspiel sirve de base para el modelamiento y la simulación del reactor de lecho fluidizado, donde se consideraron dos casos extremos para la mezcla del gas en la fase emulsión (perfectamente mezclado y flujo pistón). La solución de los modelos incluye el planteamiento de las ecuaciones de balance de masa (para los dos monómeros) y de balance de energía, acopladas a los modelos de crecimiento y de distribución de tiempos de residencia.

References

Choi, K. Y, Ray, W.H., The dynamic behavior of fluidized bed reactors for solid catalyzed Gas-Phase olefin polymerization, Chem. Eng. Sci, vol. 40, No, 12, 1985, pp. 2261 - 2279. DOI: https://doi.org/10.1016/0009-2509(85)85128-9

Choi, K. Y, Tang, S., Sirohi, A. Estimation of kinetic parameters in transition - metal - catalyzed gas - phase olefin copolymerization processes, Ind. Eng. Chem, Res., vol. 36, 1997, pp. 1095 -1102. DOI: https://doi.org/10.1021/ie9603631

De Carvalho, AB., Gloor, P.E. and Hamielec, AE., A kinetic mathematical model for heterogeneous Ziegler - Natta copolymerization, Polymer, vol. 30, 1989, pp. 280 - 296. DOI: https://doi.org/10.1016/0032-3861(89)90118-3

Galvan, R. and Tirrell, M., Molecular weight distribution predictions for heterogeneous Ziegler - Natta polymerization using a two - site model, Chem. Eng. Sci, vol. 41, No. 9, 1986, pp. 2385 - 2393. DOI: https://doi.org/10.1016/0009-2509(86)85088-6

McAuley, K. B., MacGregor, J. F and Hamielec, A. E., A kinetic model for industrial gas- phase ethylene copolimerization, AlChE Journal, vol. 36, No. 6, 1990, pp. 837 - 850. DOI: https://doi.org/10.1002/aic.690360605

Xie, T, McAuley, K. B., Hsu, C. C. and Bacon, D. W., Modeling molecular weight development of gas - phase o - olefin copolymerization, AlChE Journal, vol. 41, No. 5, 1995, pp. 1251 - 1265. DOI: https://doi.org/10.1002/aic.690410520

Zacca, J.J. Debling, JA. and Ray, W.H., Reactor residence time distribution effects on the multistage polymerization of olefins I. Basic principles and illustrative examples, polypropylene, Chem. Eng. Sci., vol. 51, No. 21, 1996, pp. 4859 - 4886. DOI: https://doi.org/10.1016/0009-2509(96)00258-8

Kumar, A., Gupta, S.K., Fundamentals of Polymer Science and Engineering, Nueva Delhi, McGraw Hill, 1978,

Zacea, J.1., Debling, A. and Ray, W.H., Reactor residence - time distribution effects on the multistage polymerization of olefins II. Polymer properties: bimodal polypropylene and linear low density polyethylene, chem. Eng. Sci, vol. 52, No. 12, 1997, pp. 1941 - 1967. DOI: https://doi.org/10.1016/S0009-2509(97)00026-2

Zacca, J.J., Debling, JA and Ray, W.H., Reactor residence - time distribution effects on the multistage polymerization of olefins III, Multi layered products: impact polypropylene, Chem. Eng. Sci, vol. 52, No. 12, 1997, pp. 1969 - 2001. DOI: https://doi.org/10.1016/S0009-2509(97)00025-0

Espinosa, A, Modelamiento de un reactor de lecho fluidizado para la obtención de polietileno lineal de baja densidad. Tesis de grado Magister Scientiae Ing. Química, Bogotá, Universidad Nacional de Colombia, 1992.

Sun, J., Eberstein, Ch., Reichert, K.H., Particle Growth Modeling of Gas Phase Polymerization of Butadiene, John Wiley & Sons, Inc. 1997. DOI: https://doi.org/10.1002/(SICI)1097-4628(19970411)64:2<203::AID-APP1>3.0.CO;2-V

Spiegel, M., Probabilidad y estadística, McGraw Hill, serie Schaum, 1976.

Bukur, D.B., Wittmann, Ch. and Amundson, N.R., Analysis for a model of nonisothermal continuous fluidized bed catalytic reactor, Chem. Eng. Sci, vol. 29, 1974, pp. 1173 - 1192. DOI: https://doi.org/10.1016/0009-2509(74)80117-X

McAuley, K.B., Talbot, J.P and Harris, T.J., A comparison of two - phase and well - mixed models for fluidized - bed polyethylene reactors, Chem. Eng. Sci, vol. 49, No. 13, 1994, pp. 2035 - 2045. DOI: https://doi.org/10.1016/0009-2509(94)E0030-T

Kunii, D., Levenspiel, O., Fluidization Engineering, John Wiley & Sons, Inc, 1969.

Khang, D.Y. and Lee, H.H., Particle size distribution in fluidized beds for catalytic polymerization, Chem. Eng. Sci, vol. 52, No. 3, 1997, pp. 421 - 431. DOI: https://doi.org/10.1016/S0009-2509(97)86701-2

Verloop, J., De Nie, LH. and Heertjes, PM., The residence time of solids in gas - fluidized beds, Powder Technology, vol. 2, Elsevier Sequoia S. A., 1968, pp. 32 - 42. DOI: https://doi.org/10.1016/0032-5910(68)80031-2

How to Cite

APA

Cadavid Estrada, J. G. & Conde Cotes, A. (2004). Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization. Ingeniería e Investigación, 24(1), 52–65. https://doi.org/10.15446/ing.investig.v24n1.14724

ACM

[1]
Cadavid Estrada, J.G. and Conde Cotes, A. 2004. Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization. Ingeniería e Investigación. 24, 1 (Jan. 2004), 52–65. DOI:https://doi.org/10.15446/ing.investig.v24n1.14724.

ACS

(1)
Cadavid Estrada, J. G.; Conde Cotes, A. Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization. Ing. Inv. 2004, 24, 52-65.

ABNT

CADAVID ESTRADA, J. G.; CONDE COTES, A. Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization. Ingeniería e Investigación, [S. l.], v. 24, n. 1, p. 52–65, 2004. DOI: 10.15446/ing.investig.v24n1.14724. Disponível em: https://revistas.unal.edu.co/index.php/ingeinv/article/view/14724. Acesso em: 25 dec. 2025.

Chicago

Cadavid Estrada, Juan Guillermo, and Alfonso Conde Cotes. 2004. “Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization”. Ingeniería E Investigación 24 (1):52-65. https://doi.org/10.15446/ing.investig.v24n1.14724.

Harvard

Cadavid Estrada, J. G. and Conde Cotes, A. (2004) “Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization”, Ingeniería e Investigación, 24(1), pp. 52–65. doi: 10.15446/ing.investig.v24n1.14724.

IEEE

[1]
J. G. Cadavid Estrada and A. Conde Cotes, “Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization”, Ing. Inv., vol. 24, no. 1, pp. 52–65, Jan. 2004.

MLA

Cadavid Estrada, J. G., and A. Conde Cotes. “Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization”. Ingeniería e Investigación, vol. 24, no. 1, Jan. 2004, pp. 52-65, doi:10.15446/ing.investig.v24n1.14724.

Turabian

Cadavid Estrada, Juan Guillermo, and Alfonso Conde Cotes. “Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization”. Ingeniería e Investigación 24, no. 1 (January 1, 2004): 52–65. Accessed December 25, 2025. https://revistas.unal.edu.co/index.php/ingeinv/article/view/14724.

Vancouver

1.
Cadavid Estrada JG, Conde Cotes A. Modeling of a fluidized bed reactor for the ethylene-propylene copolymerization. Ing. Inv. [Internet]. 2004 Jan. 1 [cited 2025 Dec. 25];24(1):52-65. Available from: https://revistas.unal.edu.co/index.php/ingeinv/article/view/14724

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Copyright (c) 2004 Juan Guillermo Cadavid Estrada, Alfonso Conde Cotes

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