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Diffusion of One‐ and Two‐Component Fluids into Polymeric Membranes
Author(s) -
Afif Ali E. L.,
Grmela Miroslav
Publication year - 2002
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450800622
Subject(s) - ternary operation , diffusion , fick's laws of diffusion , component (thermodynamics) , binary number , coupling (piping) , thermodynamics , simple (philosophy) , materials science , membrane , polymer science , chemistry , physics , mathematics , computer science , composite material , programming language , philosophy , biochemistry , arithmetic , epistemology
The starting point of this paper is a model of the non‐Fickian diffusion of a simple fluid into a polymeric medium that has been introduced in El Afif and Grmela (2002). The model is extended to a mixture consisting of two simple fluids and one polymeric medium. The effects of the polymeric medium on diffusion are included in the formulations through the use of relative momenta playing the role of internal variables. In ternary mixtures, new phenomena arise due to cross‐coupling effects. As a consequence, the single diffusion Deborah number in binary mixtures becomes a 2 × 2 matrix in ternary mixtures. Two specific examples for which experimental data are available are investigated in detail.