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Full Paper
Calculation of CLD Using Population Balance Equations of Generating Functions: Linear and Non-Linear Ideal Controlled Radical Polymerization
Article first published online: 16 JUL 2010
DOI: 10.1002/mats.201000008
Copyright © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Additional Information
How to Cite
Dias, R. C. S. and Costa, M. R. P. F. N. (2010), Calculation of CLD Using Population Balance Equations of Generating Functions: Linear and Non-Linear Ideal Controlled Radical Polymerization. Macromol. Theory Simul., 19: 323–341. doi: 10.1002/mats.201000008
Publication History
- Issue published online: 23 AUG 2010
- Article first published online: 16 JUL 2010
- Manuscript Revised: 20 APR 2010
- Manuscript Received: 9 FEB 2010
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Keywords:
- controlled radical polymerization;
- cross-linking;
- generating function;
- molecular weight distribution;
- population balances
Abstract
Population balance equations in terms of generating functions (GF) are used to predict chain length distributions (CLD) of linear and non-linear ideal controlled radical polymerization (CRP) systems. It is here shown that under simplified conditions analytical solutions for the CLD can be found and moreover the fundamental CLD derived by H. Tobita in 2006 is a limiting case of the more general solutions here presented. In order to deal with more complex CRP systems, solutions based upon the numerical inversion of GF are presented. These studies are also extended to the non-linear CRP of vinyl/divinyl monomers where multimodal CLDs are predicted to occur.