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Effect of intramolecular reactions in multifunctional step growth polymerizations in cascades of continuous‐flow, stirred‐tank reactors
Author(s) -
Gupta Santosh K.
Publication year - 1986
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760261906
Subject(s) - intramolecular force , continuous stirred tank reactor , homogeneous , monomer , flow (mathematics) , simple (philosophy) , statistical physics , materials science , kinetic monte carlo , thermodynamics , monte carlo method , kinetic energy , scale (ratio) , continuous flow , mechanics , mathematics , chemistry , physics , classical mechanics , stereochemistry , philosophy , statistics , epistemology , quantum mechanics , composite material , polymer
A simple kinetic model describing intramolecular reactions in multifunctional step growth polymerizations of RA j monomers is presented. The model is far simpler than more detailed kinetic or Monte Carlo models which pose severe numerical difficulties close to gelation. The formulation presented is quite general, but it requires a relationship for the ensemble‐cum‐time average number of rings, r n , per molecule having n RA j units. A very simple yet intuitively correct equation has been chosen for r n , which involves an empirical parameter Results on cascades of homogeneous continuous‐flow stirred‐tank reactors (HCSTRs) show trends which are physically expected. The present formulation could possibly be used for scale‐up of HCSTRs, with obtained experimentally. It is hoped that future studies using rigorous models would lead to more fundamental and improved relationships for r n .