A transport model for swelling of polyelectrolyte gels in simple and complex geometries

E. C. Achilleos; K. N. Christodoulou; I. G. Kevrekidis

doi:10.1016/S1089-3156(99)00060-4

A transport model for swelling of polyelectrolyte gels in simple and complex geometries

E. C. Achilleos, K. N. Christodoulou, I. G. Kevrekidis

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

A model for the swelling of polyelectrolyte gels in salt solutions is developed and solved numerically. The model accounts for the effect of network stress, osmotic pressure, and electrical potential on the species diffusive flux. The osmotic pressure and the network stress are derived from the Helmholtz free energy of the system that is the sum of mixing, elastic, and electrostatic components. One- and two-dimensional swelling in unconstrained and constrained geometries are simulated for a salt-solvent-polymer system. The transient and equilibrium fields of electrical potential, concentrations, deformation, and stress are obtained. Transient overshoots and non-uniformities in the residual profiles are predicted.

Original language	English (US)
Pages (from-to)	63-80
Number of pages	18
Journal	Computational and Theoretical Polymer Science
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/S1089-3156(99)00060-4
State	Published - Jan 2001

All Science Journal Classification (ASJC) codes

General Chemical Engineering

Keywords

Gel
Polyelectrolyte
Swelling
Transport

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10.1016/S1089-3156(99)00060-4

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abstract = "A model for the swelling of polyelectrolyte gels in salt solutions is developed and solved numerically. The model accounts for the effect of network stress, osmotic pressure, and electrical potential on the species diffusive flux. The osmotic pressure and the network stress are derived from the Helmholtz free energy of the system that is the sum of mixing, elastic, and electrostatic components. One- and two-dimensional swelling in unconstrained and constrained geometries are simulated for a salt-solvent-polymer system. The transient and equilibrium fields of electrical potential, concentrations, deformation, and stress are obtained. Transient overshoots and non-uniformities in the residual profiles are predicted.",

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AU - Christodoulou, K. N.

AU - Kevrekidis, I. G.

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AB - A model for the swelling of polyelectrolyte gels in salt solutions is developed and solved numerically. The model accounts for the effect of network stress, osmotic pressure, and electrical potential on the species diffusive flux. The osmotic pressure and the network stress are derived from the Helmholtz free energy of the system that is the sum of mixing, elastic, and electrostatic components. One- and two-dimensional swelling in unconstrained and constrained geometries are simulated for a salt-solvent-polymer system. The transient and equilibrium fields of electrical potential, concentrations, deformation, and stress are obtained. Transient overshoots and non-uniformities in the residual profiles are predicted.

KW - Gel

KW - Polyelectrolyte

KW - Swelling

KW - Transport

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A transport model for swelling of polyelectrolyte gels in simple and complex geometries

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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