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Semianalytical solution of isothermal nylon‐6 polymerization in batch reactors
Author(s) -
Haswani Rajeev,
Gupta Santosh K.,
Kumar Anil
Publication year - 1995
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.760351506
Subject(s) - caprolactam , materials science , isothermal process , boundary value problem , convergence (economics) , polymerization , computation , series (stratigraphy) , domain (mathematical analysis) , mathematics , thermodynamics , mathematical analysis , algorithm , polymer chemistry , composite material , polymer , physics , paleontology , biology , economics , economic growth
Nylon 6 polymerization in batch reactors has been assumed to consist of important reactions of ring opening, step growth and polyaddition steps and a set of ordinary differential equations (initial value problem) for the concentrations and moments of the various reacting species has been derived. We have proposed a series solution for these variables in terms of conversion of ε‐caprolactam. A technique similar to the finite element method for boundary value problems is used to divide the conversion domain into subdomains. The size of these is determined by a convergence criterion and the results determined at the end of conversion domain through sequential computations. This technique of solution involves the evaluation of constant coefficients of the series only and gives comparable results with those of Runge Kutta or Gear's algorithm (which involves evaluation of functions) in fewer steps. The scheme can easily be implemented on a personal computer and is considerably faster and more efficient.