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Modeling of asymmetric membrane formation. II. The effects of surface boundary conditions
Author(s) -
Yilmaz L.,
McHugh A. J.
Publication year - 1988
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1988.070350722
Subject(s) - boundary value problem , membrane , mass transfer , quenching (fluorescence) , phase inversion , thermodynamics , flux (metallurgy) , materials science , mechanics , solvent , mass flux , diffusion , chemistry , mathematical analysis , mathematics , physics , optics , organic chemistry , biochemistry , fluorescence
An analysis is carried out to evaluate the effects of alternate surface boundary conditions on the predictions of our previously developed (Part I) pseudobinary diffusion model for membrane formation by the phase inversion process. Attention is addressed to a comparison of concentration profiles in the quenched film for a constant flux interface (CF) condition and a mass transfer rate (MT) interface condition. A numerical algorithm is developed to handle the MT condition based on an explicit, finite difference marching method. Comparison of concentration profiles with those obtained earlier for the CF boundary condition show that since results for both cases are very similar, either condition can be used in concentration profile calculations. Changes in bath conditions will mainly affect membrane formation through the changed solvent/nonsolvent flux ratio during quenching.