Scaling Relationships for Curing Reactions of Epoxy Polymers

2 Scaling Relationships for Curing Reactions of Epoxy Polymers 

It is easy to see that the dependence of r g on A is much stronger than the similar dependence for D. In Tables 3.2 and 3.3 the comparison of the obtained data values D = and rig according to the graphic and calculated magnitudes of these parameters according to Equations 3.20 and 3.21, respectively, was adduced. As follows from the indicated comparison, satisfactory correspondence of parameters D and rjg, estimated by both considered methods, is again obtained. 

Therefore, the results stated above have demonstrated that both scaling Equation 3.8 and fractal Relationship 3.1 (or 3.7) describe to an equal extent curing reaction kinetics of haloid-containing epoxy polymer 2DPP+HCE/DDM at different curing temperatures. By virtue of this circumstance there exists an interconnection between the parameters included in the indicated equations. The fractal Relationship 3.7 introduces in consideration of the the kinetics problem the structure of the reaction products (in the given case the structure of microgels and condensed state after the gel formation point), characterised by its fractal dimension D that makes this concept physically more informative [46]. 

The classical problem in chemical kinetics is the influence of diffusive processes on this kinetics [3, 4, 44, 45]. In reactions controlled by diffusion, their rate is defined by the diffusion time, which is the time necessary for reagents to reach one another. Simulation of similar reactions on Euclidean lattices gives the following results. These reactions were considered [47]  

The following dependences of the density of reacting particles A on the reaction duration t for the indicated reactions were received [47]  

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