Analytical Solution of Free Radical Polymerization:
Applications- Implementing Gel Effect Using AK Model
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Abstract
In this work, gel/glass/cage effects
using the Achillias and Kiparissides (AK) model has been incorporated
in the analytical solution (AS) obtained in our previous work. The
AK model is based on the Chiu, Carratt, and Soong (CCS) model and
free volume theory. The results of AS matched quite well with the
numerical solutions as well as with the experimental data for methyl
methacrylate (MMA). Various variables like termination kinetic coefficient,
initiator efficiency, macroradicals concentration profile matched
with the established published results. The work clearly demonstrates
that AS is sufficiently flexible to accommodate gel/glass/cage effects
explicitly although it was not primarily derived for these conditions.
This extends the practical usage of AS for the whole range of conversion
under isothermal conditions