A simple proposal for modeling isothermal cure kinetics
Una propuesta simple para modelar cinéticas de curado isotérmicas
O.F. Aguilar-Gutiérrez1, R.O. Vargas2, J.E. Puig3, E. Mendizábal4 and F. López-Serrano1*
1 Departamento de Ingeniería Química, Facultad de Química. Universidad Nacional Autónoma de México. Ciudad Universitaria, D. F. 04510. México. *Corresponding author. E-mail: lopezserrano@unam.mx
]]> 2 ESIME Azcapotzalco. Instituto Politécnico Nacional, Avenida de las Granjas No. 682, Col. Santa Catarina, Del. Azcapotzalco, D.F. 02250. México.3 Departamento de Ingeniería Química. CUCEI. Universidad de Guadalajara. Guadalajara, Jalisco 44430. México.
4 Departamento de Química. CUCEI. Universidad de Guadalajara. Guadalajara, Jalisco 44430. México.
Received 7 of June 2012
Accepted 15 of January 2013
Abstract
A simple model for cure kinetics, based on the Churchill-Usagi correlation, is presented here. This proposal, intended for engineering purposes, is capable of reducing computational time to facilitate, even with analytic solutions, the kinetics description, especially when more complex systems are being studied. In spite of the model's simplicity, fundamental kinetic parameters, including the reaction order and the rate constant, (composed of the Arrhenius constant and the activation energy) can be determined in the diffusion free zone. A four-parameter model accurately described the previously reported conversion evolution of a cyanate ester resin, from 140 to 190 oC, presented as a case example. For the limit conversion and the Churchill-Usagi exponent, a linear dependence with reaction temperature was obtained.
Keywords: cure kinetics, cyanate ester resin, industrial applications, modeling and simulation.
]]>Resumen
Se presenta un enfoque sencillo, basado en la correlación de Churchill-Usagi, para describir cinéticas de curado. Esta propuesta, destinada a aplicaciones industriales es capaz de reducir el tiempo de cálculo para facilitar, aún con soluciones analíticas, la descripción de la cinética de airado de resinas, especialmente cuando se estudian sistemas complejos. A pesar de la simplicidad del modelo, los parámetros cinéticos fundamentales, incluyendo el orden y la constante de reacción (compuesta por el pre-factor de Arrhenius y la energía de activación) se pueden determinar en la zona libre de problemas difusivos. Un modelo de cuatro parámetros describe con exactitud la evolución de la conversión de una resina de éster de dicianato (reportada previamente) de 140 a 190 oC la cual se muestra para ejemplificar la propuesta. Tanto para la conversión límite como para el exponente Churchill-Usagi, se obtuvo una dependencia lineal con la temperatura de reacción.
Palabras clave: cinética de curado, resina de éster dicianato, aplicaciones industriales, modelado y simulación.
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Acknowledgments
The funds provided for this work, by UNAM (PAPIIT IN114212) and the exchange program between U de G and UNAM, are gratefully acknowledged.
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