A model of frontal polymerization including the gel effect

Citation
Pm. Goldfeder et Va. Volpert, A model of frontal polymerization including the gel effect, MATH PROB E, 4(5), 1998, pp. 377-391
Citations number
26
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN journal
1024123X → ACNP
Volume
4
Issue
5
Year of publication
1998
Pages
377 - 391
Database
ISI
SICI code
1024-123X(1998)4:5<377:AMOFPI>2.0.ZU;2-4
Abstract
Frontal polymerization is a process in which a spatially localized reaction zone propagates into a monomer, converting it into a polymer. This new app roach to polymer production requires both theoretical and experimental stud y. Agreement between the existing theoretical and experimental work done on this subject has generally been fairly good. However, experimental results tend to show a higher degree of conversion than theoretical results. The r eason for this discrepancy may be attributed to an autoacceleration of the polymerization rate which occurs when conversion has reached a certain poin t. This autoacceleration is due to a decrease in the termination rate cause d by a phenomenon known as the gel effect. In this paper, we develop a math ematical model of the frontal polymerization process, taking the gel effect into consideration. Specifically, we determine how it will affect the degr ee of conversion, maximum temperature, and propagation velocity of the syst em.