Articles & Issues
- Language
- English
- Conflict of Interest
- In relation to this article, we declare that there is no conflict of interest.
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
All issues
The Mixing Effect on the Free Radical MMA Solution Polymerization
Korean Journal of Chemical Engineering, May 1998, 15(3), 273-286(14), 10.1007/BF02707082
Download PDF
Abstract
Mathematical models of reactors for the polymerization of methylmethacrylate (MMA) have been developed and analyzed to elucidate reactor dynamics and to determine conditions for improved operation. The effects of mixing and heat transfer in an MMA polymerization reactor system have been explored by the development of an imperfect mixing model. To model imperfect mixing in polymerization, a reactor configuration using two tanks in parallel was used. Bifurcation diagrams developed using numerical analysis of the model have been drawn with two variable parameters, an exchange ratio, σ, and a volume ratio, κ. We use feed and coolant temperatures as bifurcation parameters. If variable parameters are small, the lower solution branch of the steady state solutions is quite different from that of a simple model that assumes perfect macro-mixing as bifurcation parameters change. If σ increases (κ=0.1, σ=l.0), the shape of a steady state solution curve differs significantly from that of a simple model as the feed temperature decreases.
Keywords
References
Adebekun AK, Kwalik KM, Schork FJ, Chem. Eng. Sci., 44(10), 2269 (1989)
Adomaitis RA, Cinar A, "The Bifurcation Behavior of an Autothermal Packed Bed Tubular Reactor," American Control Conference, Minneapolis, MN, p. 1419 (1987)
Baillagou PE, Soong DS, Chem. Eng. Sci., 40(1), 75 (1985)
Balakotaiah V, Luss D, Chem. Eng. Sci., 37, 11 (1982)
Chen MSK, Fan LT, Can. J. Chem. Eng., 49, 704 (1971)
Choi KY, Polym. Eng. Sci., 26(14), 975 (1986)
Doedel E, "AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations," Caltech., Pasadena (1986)
Hamer JW, Akramov TA, Ray WH, Chem. Eng. Sci., 36(12), 1897 (1981)
Kaflas GA, "Experimental Studies and Mathematical Modeling of Aqueous Suspension Polymerization Reactors," Ph.D. Thesis, Univ. of Wisconsin, Madison (1992)
Kim KJ, Choi KY, Alexander JC, Polym. Eng. Sci., 31(5), 333 (1991)
Kim S, "Application of Nonlinear Dynamic Analysis to Chemically Reacting Systems," Ph.D. Thesis, State Univ. of New York, Buffalo (1985)
Kiparissides C, Sidiropoulou E, Voutetakis S, Frousakis C, Chem. Eng. Commun., 92, 1 (1990)
Kubicek M, Marek M, "Computational Methods in Bifurcation Theory and Dissipative Structures," Springer-Verlan, NY (1983)
Kwalik KM, Adebekun AK, Schork FJ, "Closed Loop Bifurcation, Estimation and Control of a Continuous Solution Polymerization Reactor," in K.H. Reichert and H. Geissler ed., Polymer Reaction Engineering, VCH, p. 123 (1989)
Kwalik KM, "Bifurcation Characteristics in Closed-Loop Polymerization Reactors," Ph.D. Thesis, Georgia Institute of Technology, GA (1988)
Louie BM, Soong DS, J. Appl. Polym. Sci., 30, 3707 (1985)
Mankin JC, Hudson JL, Chem. Eng. Sci., 41(10), 2651 (1986)
Marini L, Georgakis C, AIChE J., 30(3), 401 (1984)
Moritz HU, Chem. Eng. Technol., 12, 71 (1989)
Ross RT, Laurence RL, AIChE Symp. Ser., 160(72), 74 (1976)
Taylor MA, Kevrekidis IG, Chem. Eng. Sci., 48(11), 2129 (1993)
Teymour FAR, Ray WH, Chem. Eng. Sci., 44(9), 1967 (1989)
Thiele R, Breme J, Int. Polym. Process. III, 1, 48 (1988)
Thiele R, "The Interaction Between Process Design and Mechanical Design in Development of Mass Polymerization Reactors," in K.H. Reichert and H. Geissler ed., Polymer Reaction Engineering, VCH, p. 399 (1989)
Tosun G, AIChE J., 38(3), 425 (1992)
Uppal A, Ray WH, Poore AB, Chem. Eng. Sci., 29, 967 (1974)
Uppal A, Ray WH, Poore AB, Chem. Eng. Sci., 31, 205 (1976)
Villemaux J, "A Simple Model for Partial Segregation in a Semibatch Reactor," Paper 114a, AIChE Meeting, San Francisco (1989)
Villemaux J, "Micromixing Phenomena in Stirred Reactors," in Encyclopedia of Fluid Mechanics, Gulf Pub., Houston, p. 707 (1986)
Adomaitis RA, Cinar A, "The Bifurcation Behavior of an Autothermal Packed Bed Tubular Reactor," American Control Conference, Minneapolis, MN, p. 1419 (1987)
Baillagou PE, Soong DS, Chem. Eng. Sci., 40(1), 75 (1985)
Balakotaiah V, Luss D, Chem. Eng. Sci., 37, 11 (1982)
Chen MSK, Fan LT, Can. J. Chem. Eng., 49, 704 (1971)
Choi KY, Polym. Eng. Sci., 26(14), 975 (1986)
Doedel E, "AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations," Caltech., Pasadena (1986)
Hamer JW, Akramov TA, Ray WH, Chem. Eng. Sci., 36(12), 1897 (1981)
Kaflas GA, "Experimental Studies and Mathematical Modeling of Aqueous Suspension Polymerization Reactors," Ph.D. Thesis, Univ. of Wisconsin, Madison (1992)
Kim KJ, Choi KY, Alexander JC, Polym. Eng. Sci., 31(5), 333 (1991)
Kim S, "Application of Nonlinear Dynamic Analysis to Chemically Reacting Systems," Ph.D. Thesis, State Univ. of New York, Buffalo (1985)
Kiparissides C, Sidiropoulou E, Voutetakis S, Frousakis C, Chem. Eng. Commun., 92, 1 (1990)
Kubicek M, Marek M, "Computational Methods in Bifurcation Theory and Dissipative Structures," Springer-Verlan, NY (1983)
Kwalik KM, Adebekun AK, Schork FJ, "Closed Loop Bifurcation, Estimation and Control of a Continuous Solution Polymerization Reactor," in K.H. Reichert and H. Geissler ed., Polymer Reaction Engineering, VCH, p. 123 (1989)
Kwalik KM, "Bifurcation Characteristics in Closed-Loop Polymerization Reactors," Ph.D. Thesis, Georgia Institute of Technology, GA (1988)
Louie BM, Soong DS, J. Appl. Polym. Sci., 30, 3707 (1985)
Mankin JC, Hudson JL, Chem. Eng. Sci., 41(10), 2651 (1986)
Marini L, Georgakis C, AIChE J., 30(3), 401 (1984)
Moritz HU, Chem. Eng. Technol., 12, 71 (1989)
Ross RT, Laurence RL, AIChE Symp. Ser., 160(72), 74 (1976)
Taylor MA, Kevrekidis IG, Chem. Eng. Sci., 48(11), 2129 (1993)
Teymour FAR, Ray WH, Chem. Eng. Sci., 44(9), 1967 (1989)
Thiele R, Breme J, Int. Polym. Process. III, 1, 48 (1988)
Thiele R, "The Interaction Between Process Design and Mechanical Design in Development of Mass Polymerization Reactors," in K.H. Reichert and H. Geissler ed., Polymer Reaction Engineering, VCH, p. 399 (1989)
Tosun G, AIChE J., 38(3), 425 (1992)
Uppal A, Ray WH, Poore AB, Chem. Eng. Sci., 29, 967 (1974)
Uppal A, Ray WH, Poore AB, Chem. Eng. Sci., 31, 205 (1976)
Villemaux J, "A Simple Model for Partial Segregation in a Semibatch Reactor," Paper 114a, AIChE Meeting, San Francisco (1989)
Villemaux J, "Micromixing Phenomena in Stirred Reactors," in Encyclopedia of Fluid Mechanics, Gulf Pub., Houston, p. 707 (1986)