Modeling and analytical simulation of anterior polymerization in the presence of an inert material

Abstract

ABSTRACT:The ability to fabricate advanced materials with specific properties efficiently requires a complete understanding of the polymerization kinetics and the effect of several preparative variables such as temperature, monomer and initiator. This paper presents an analytical method for describing anterior polymerization in two adjacent thin layers. Both the initial temperatures and initial monomer and initiator concentrations are assumed to depend on the space variable. We prove the existence and uniqueness of solution of the model by actual solution method. The equations are solved using parameter-expanding method and eigenfunctions expansion technique. The results obtained were discussed. The study shows that the Frank-Kamenetskii number and frequency factors of the two reactions have significant effects on the propagation of the polymerization wave. © JASEM http://dx.doi.org/10.4314/jasem.v21i1.11

Review on Frontal Polymerization Behavior for Thermosetting Resins: Materials, Modeling and Application

“…Mathematical modeling provides a low-cost method to study the characteristics and factors of FP behavior. Currently, some basic mathematical models of the free-radical FP are being developed [ 100 , 101 , 102 , 103 , 104 , 105 , 106 , 107 ]. Goldfeder et al [ 100 , 101 ] developed a mathematical model to describe the free-radical FP process in both adiabatic and non-adiabatic cases.…”

“…This model was also applied by Comissiong et al [ 102 ] in their study to describe the nonlinear dynamics of self-accelerating FP. Comissiong et al [ 103 ] and Jimada et al [ 104 ] extended this model to study the front propagation process of a model with two adjacent thin layers (inert layer and reactive layer, respectively). This basic mathematical model describes the process of free-radical FP, involving multiple reaction steps and reagents.…”