Nucleation and bubble growth are key steps in polymer foam processing.
A model that combines heterogeneous nucleation with bubble growth dyn
amics and is used to estimate the effects of different parameters on b
ubble (or cell) size distributions in closed-cell foams is presented.
The model is based on an expanding influence volume approach where the
influence volumes are associated with bubbles such that the nucleatio
n rate is negligible in the influence regions compared to the initial
nucleation rate. The influence volumes expand as the bubbles grow. The
equations governing the bubble growth are solved using Galerkin metho
d. The initial conditions for bubble growth are obtained from the stat
e of the pre-bubble nuclei (or clusters) at the upper bound of the cri
tical cluster region predicted by the classical nucleation theory. Sin
gle bubble growth dynamics predicted by the Galerkin method compare we
ll with the analytical solutions obtained in the initial growth period
. The results indicate that the most sensitive parameters to final bub
ble size distribution are those associated with the nucleation process
; growth dynamics can alter the distribution, but these effects are se
condary. Copyright (C) 1997 Elsevier Science Ltd.