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Generalized Equation for the Permeability of Heterogeneous Polymer Materials
Author(s) -
Senuma Akitaka
Publication year - 2001
Publication title -
macromolecular chemistry and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.57
H-Index - 112
eISSN - 1521-3935
pISSN - 1022-1352
DOI - 10.1002/1521-3935(20010601)202:9<1737::aid-macp1737>3.0.co;2-4
Subject(s) - volume fraction , polymer , permeability (electromagnetism) , component (thermodynamics) , permeation , materials science , chemistry , polymer chemistry , thermodynamics , physics , composite material , membrane , biochemistry
For two‐component phase‐separated polymer systems, the Landauer and modified Landauer equations can be introduced using the Maxwell model based on the double‐layer model and the Senuma model based on the double‐column model, in which the sphere particles are dispersed in a matrix component. The following generalized equation for permeability was introduced by combining the Landauer and modified Landauer equations to ( P – P a )( QP + P b )/{ P ( Q + 1)} = V b ( P b – P a ), where P , P a and P b are the permeability coefficients of the overall system, and of components A and B, respectively. V b is the volume fraction of component B, and Q is a constant. This equation represents the series, Senuma, Maxwell and parallel models at substitutions of 0, 0.5, 2.0 and ∞ for the Q values, respectively, and could be applied to published experimental permeation data. The experimental data were distributed around the curves calculated from Q values of 0.5 to 2.5. Morphologies were assumed based on the estimated Q values.