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Analysis of polymer membrane formation through spinodal decomposition. III: Two‐dimensional simulations of early‐stage behavior
Author(s) -
Chen YuhLing,
Solc Karel,
Caneba Gerard T.
Publication year - 1993
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760331605
Subject(s) - spinodal decomposition , materials science , polymer , thermal diffusivity , diffusion , membrane , spinodal , nonlinear system , range (aeronautics) , thermodynamics , chemical physics , phase (matter) , chemistry , physics , composite material , biochemistry , organic chemistry , quantum mechanics
A nonlinear diffusion equation is used to study early‐stage spinodal decomposition of polymer solutions, in relation to the membrane formation, in two dimensions. The effects of overall polymer composition and composition‐dependent mobility and diffusivity are included in our simulations. Our results show a kinetically stable structure is established during the early stages, which corresponds to a circular range of peaks in the two‐dimensional frequency spectrum. Such a spectrum is found to result in an interconnected cell structure in the two‐dimensional real space. A decrease in the level of polymer interdomain interconnectedness is obtained as time increases, which indicates the influence of interfacial tension. As the overall polymer composition is increased, an increase in interdomain distances is observed, although the same early stage morphological structure is obtained. Finally, calculated interdomain distances from the two‐dimensional simulation are larger than those obtained in equivalent one‐dimensional model systems.