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Absorption–desorption histories through a sphere with a change in dimensions, with constant concentration on surface during absorption, and finite volume of surrounding during desorption
Author(s) -
Bouzon J.,
Benghalem A.
Publication year - 1995
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.1995.070571303
Subject(s) - desorption , absorption (acoustics) , volume (thermodynamics) , diffusion , polymer , constant (computer programming) , thermodynamics , fick's laws of diffusion , materials science , porous medium , kinetics , chemistry , analytical chemistry (journal) , porosity , chromatography , adsorption , composite material , physics , classical mechanics , computer science , programming language
Liquids are transferred through nonporous polymers provoking a change in dimension. A mathematical treatment of the process of radial diffusion through a sphere with consequent change in dimension is made, as well as a numerical treatment of the process. The case is considered when the concentration of the liquid on the surface is constant during absorption and then the surrounding fluid is of finite volume and strongly stirred during the stage of desorption. The kinetics of absorption–desorption histories are calculated for various values of the volume expansion due to the presence of liquid. The profiles of concentration as well as the kinetics of change in dimension are also evaluated. Two parameters are introduced: the maximum of the volume expansion of the polymer and the ratio between the amount of liquid in the polymer and that contained in the surrounding at the final equilibrium of desorption. © 1995 John Wiley & Sons, Inc.