Ian David Lockhart Bogle and Michael Fairweather (Editors), Proceedings of the 22nd European
Symposium on Computer Aided Process Engineering, 17 - 20 June 2012, London.
© 2012 Elsevier B.V. All rights reserved.
Estimation of Kinetic Parameters and Mathematic
Model Validation for Nylon-6 Process
Vanessa I. Funai,
a
Delba N. C. Melo,
a
Nádson M. N. Lima,
a
Ana F. Pattaro,
a
Lamia Zuñiga Liñan,
a
Anderson J. Bonon,
a
Rubens Maciel Filho
a
a
Laboratory of Opmization, Design and Advanced Control - LOPCA, School of
Chemical Engineering, State University of Campinas – Unicamp, Av. Albert Einstein,
500, Campinas – SP, 13083-852 , Brasil
Abstract
This work presents the simulation of the hydrolytic polymerization process of nylon-6
in a lab-scale semi-batch reactor, using ε-caprolactam as monomer and acetic acid as
monofunctional acid chain terminator. The kinetic scheme comprises 6 reactions: 3
main reactions, 2 side reactions associated with the cyclic dimer formation and one
monofunctional acid termination. Operating conditions were obtained from previous
definitions and kinetic parameters were estimated from experimental data. The proposed
optimization problem to estimate the kinetic parameters was solved by the Successive
Quadratic Programming (SQP), a deterministic method. It was shown that the method is
able to determine the final solution with good precision. The validity of the model was
confirmed by comparison of the results obtained by computer simulation using the
software Aspen Polymer Plus ® and the process real data.
Keywords: optimization, simulation, polymerization, poliamide-6.
1. Introduction
Nylon is considered the first polymer in the category of engineering plastics and still
remains as one of the most important since its discovery in 1935. The commercial
relevance of Nylon-6 is widely known. In order to have a final product with desired
properties it is necessary to have a better comprehension of the polymerization process
including the reactor performance. Since plant experiments are time consuming and
expensive, simulations are important means to study the process. However, the
results of the simulator should be faithful to those obtained by the real process. To
ensure this, it is necessary the validation of the results, performed by a comparison
between the real and the simulated process outputs, which should be similar. One way
to validate the simulator is estimating the reaction parameters. Optimization methods
have been widely used to determine kinetic parameters (Mansoornejad et al., 2007).
The objective of this work is to simulate and to estimate the most significant kinetic
parameters of the hydrolytic polymerization of nylon-6 in order to validate a
mathematic model based on a nylon-6 polymerization reactor operated on semi-batch
mode used for polymer research at Biofabris Institute/State University of
Campinas/Brazil. The estimation of the parameters was performed by the use of the
Sequential quadratic programming method (SQP). Simplified predictive models of
average molecular weight (MWN) and monomer conversion (X
CL
) were used to
formulate the objective function of the problem.