Bifurcation analysis of a tubular reactor for nitroxide-mediated radical polymerization of styrene

Macromolecular Reaction Engineering

Volumn 4, Issue 9-10, 2010, Pages 599-612

  Zitlalpopoca Soriano, Angel Guillermo ^b   Vivaldo Lima, Eduardo ^b   Flores Tlacuahuac, Antonio ^a  

^a UNIVERSIDAD IBEROAMERICANA   (Mexico)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Bifurcation analysis; Continuation diagrams; Living polymerization; Modeling; Tubular reactor

Indexed keywords

BIFURCATION ANALYSIS; CONTINUATION DIAGRAMS; COOLING FLOWS; COOLING WATER TEMPERATURE; FEED STREAMS; MASS BALANCE; MODELING; MOMENT EQUATIONS; MONOMER CONCENTRATION; NITROXIDE MEDIATED RADICAL POLYMERIZATION; NONLINEAR BEHAVIOR; NONLINEAR BIFURCATIONS; NUMERICAL METHOD OF LINES; POLYMERIZATION REACTORS; POLYMERIZATION SYSTEMS; TUBULAR REACTORS;

ATOM TRANSFER RADICAL POLYMERIZATION; BIFURCATION (MATHEMATICS); DIFFERENTIATION (CALCULUS); EMBEDDED SOFTWARE; FREE RADICAL POLYMERIZATION; HYDRAULICS; MATHEMATICAL MODELS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POLYMERS; STYRENE;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 78650441254     PISSN: 1862832X     EISSN: 18628338     Source Type: Journal    
DOI: 10.1002/mren.201000003     Document Type: Article

References (45)

1. N. K. Read, S. X. Zhang, W. H. Ray, AIChE J. 1996, 42, 2911.
2. K. Matyjaszewski, T. P. Davis, Handbook of Radical Polymerization, John Wiley & Sons, 2002.
3. A. Nabifar, Investigations of kinetic aspect in nitroxide-mediated radical polymerization of styrene, Master Science Thesis, University of Waterloo, Ontario, Canada 2007.
4. E. Vivaldo-Lima, A. J. Mendoza-Fuentes, Polym. React. Eng. 2002, 10, 193.
5. O. Delgadillo-Velazquez, E. Vivaldo-Lima, S. Zhu, I. A. Quintero-Ortega, AICHE J. 2002, 48, 2597.
6. M. Roa-Luna, M. P. Diaz-Barber, E. Vivaldo-Lima, L. M. F. Lona, T. N. McManus, A. Penlidis, J. Macromol. Sci., Part A: Pure Appl. Chem. 2007, 44, 193.
7. E. Tuinman, T. McManus Neil, M. Roa-Luna, E. Vivaldo-Lima, L. M. F. Lona, A. Penlidis, J. Macromol. Sci., Part A: Pure Appl. Chem. 2006, 43, 995.
8. J. Belicanta-Ximenes, V. R. Mesa, L. M. F. Lona, E. Vivaldo-Lima, T. N. McManus, A. Penlidis, Macromol. Theory Simul. 2007, 16, 194.
9. M. Roa-Luna, A. Nabifar, M. P. Diaz-Barber, T. N. McManus, E. Vivaldo-Lima, L. M. F. Lona, A. Penlidis, J. Macromol. Sci., Part A: Pure Appl. Chem. 2007, 44, 337.
10. T. E. Enright, M. F. Cunningham, B. Keoshkerian, Macromol. Rapid Commun. 2005, 26, 221.
11. Z. Min, W. Harmon Ray, J. Appl. Polym. Sci. 2002, 86, 1047.
12. A. Faliks, R. A. Yetter, C. A. Floudas, Y. Wei, H. Rabitz, Polymer 2001, 42, 2061.
13. M. Asteasuain, M. Soares, M. K. Lenzi, M. Cunningham, C. Sarmoria, J. C. Pinto, A. Brandolin, Macromol. React. Eng. 2007, 1, 622.
14. M. Asteasuain, M. Soares, M. K. Lenzi, R. A. Hutchinson, M. Cunningham, A. Brandolin, J. C. Pinto, C. Sarmoria, Macromol. React. Eng. 2008, 2, 414.
15. T. Noda, A. J. Grice, M. E. Levere, D. M. Haddleton, Eur. Polym. J. 2007, 43, 2321.
16. M. Müller, M. F. Cunningham, R. A. Hutchinson, Macromol. React. Eng. 2008, 2, 31.
17. N. Chan, S. Boutti, M. F. Cunningham, R. A. Hutchinson, Macromol. React. Eng. 2009, 3, 222.
18. J. P. Russum, C. W. Jones, F. J. Schork, Macromol. Rapid. Commun. 2004, 25, 1064.
19. J. P. Russum, C. W. Jones, F. J. Schork, Ind. Eng. Chem. Res. 2005, 44, 2484.
20. J. P. Russum, C. W. Jones, F. J. Schork, AIChE J. 2006, 52, 1566.
21. T. Wu, Y. Mei, J. T. Cabral, C. Xu, K. L. Beers, J. Am. Chem. Soc. 2004, 126, 9880.
22. T. Iwasaki, J. Yoshida, Macromolecules 2005, 38, 1159.
23. T. Iwasaki, N. Kawano, J. Yoshida, Org. Process Res. Dev. 2006, 10, 1126.
24. C. Xu, T. Wu, C. M. Drain, J. D. Batteas, K. L. Beers, Macromolecules 2005, 38, 6.
25. C. Rosenfeld, C. Serra, C. Brochon, G. Hadziioannou, Chem. Eng. Sci. 2007, 62, 5245.
26. A. Nagaki, K. Kawamura, S. Suga, T. Ando, M. Sawamoto, J. Yoshida, J. Am. Chem. Soc. 2004, 126, 14702.
27. A. Nagaki, Y. Tomida, A. Miyazaki, J. Yoshida, Macromolecules 2009, 42, 4384.
28. M. Zhang, W. H. Ray, Ind. Eng. Chem. Res. 2001, 40, 4336.
29. K. F. Jensen, W. H. Ray, Chem. Eng. Sci. 1982, 37, 199.
30. R. Shinar, F. J. Doyle III, H. M. Budman, M. Morari, AICHE J. 1992, 38, 1729.
31. K. G. Gudekar, J. B. Riggs, Ind. Eng. Chem. Res. 2003, 42, 3285.
32. A. Silva-Beard, A. F. Flores-Tlacuahuac, Ind. Eng. Chem. Res. 1999, 38, 4970.
33. J. C. Verazaluce-Garcia, A. F. Flores-Tlacuahuac, E. Saldivar-Guerra, Ind. Eng. Chem. Res. 2000, 39, 1972.
34. R. Lemoine-Nava, A. Flores-Tlacuahuac, E. Saldivar-Guerra, Chem. Eng. Sci. 2006, 61, 370.
35. L. F. Shampine, C. W. Gear, SIAM Rev. 1979, 21, 1.
36. J. Bonilla, E. Saldivar, E. Vivaldo-Lima, A. Flores Tlacuahuac, R. Pfaender, F. Tiscareno-Lechuga, Polym. React. Eng. 2002, 10, 227.
37. W. Hundsdorfer, J. G. Verwer, Numerical Solutions of Time-Dependent Advection-Diffusion-Reaction Equations, Springer, Berlin, Heidelberg 2007.
38. E. L. Allgower, K. Georg, "Introduction to Numerical Continuation Methods, SIAM, New York 1987.
39. E. J. Doedel, AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, Computer Science Department, Concordia University, Montreal, Canada 1986.
40. N. V. Mantzaris, Prodromos Daoutidis and Friedrich Srienc, Comput. Chem. Eng. 2001, 25, 1411.
41. N. V. Mantzaris, Prodromos Daoutidis and Friedrich Srienc, Comput. Chem. Eng. 2001, 25, 1441.
42. N. V. Mantzaris, Prodromos Daoutidis and Friedrich Srienc, Comput. Chem. Eng. 2001, 25, 1463.
43. W. E. Schiesser, The Numerical Method of Lines. Integration of Partial Differential Equations, Academic Press, Inc, New York 1991.
44. W. D. Seider, D. D. Brengel, A. M. Provost, S. Widagdo, Ind. Eng. Chem. Res. 1990, 29, 805.
45. R. L. Laurence, G. Vasudevan, Ind. Eng. Chem. Proc. Des. Dev. 1968, 7, 427.