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

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

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
Externally published	Yes

Keywords

Gel
Polyelectrolyte
Swelling
Transport

ASJC Scopus subject areas

General Chemical Engineering

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10.1016/S1089-3156(99)00060-4

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title = "A transport model for swelling of polyelectrolyte gels in simple and complex geometries",

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.",

keywords = "Gel, Polyelectrolyte, Swelling, Transport",

author = "Achilleos, {E. C.} and Christodoulou, {K. N.} and Kevrekidis, {I. G.}",

note = "Funding Information: This work was partially supported by the NSF, including the Pittsburgh and the San Diego NPACI Supercomputing centers, whose computing facilities made this work possible. We are also grateful to Professors W.B. Russel and R.K. Prud'homme for helpful discussions. The experimental work was in collaboration with Professor R.K. Prud'homme and Dr K.R. Gee at Molecular Probes. ",

year = "2001",

month = jan,

doi = "10.1016/S1089-3156(99)00060-4",

language = "English (US)",

volume = "11",

pages = "63--80",

journal = "Computational and Theoretical Polymer Science",

issn = "1089-3156",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - A transport model for swelling of polyelectrolyte gels in simple and complex geometries

AU - Achilleos, E. C.

AU - Christodoulou, K. N.

AU - Kevrekidis, I. G.

N1 - Funding Information: This work was partially supported by the NSF, including the Pittsburgh and the San Diego NPACI Supercomputing centers, whose computing facilities made this work possible. We are also grateful to Professors W.B. Russel and R.K. Prud'homme for helpful discussions. The experimental work was in collaboration with Professor R.K. Prud'homme and Dr K.R. Gee at Molecular Probes.

PY - 2001/1

Y1 - 2001/1

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=0033816057&partnerID=8YFLogxK

U2 - 10.1016/S1089-3156(99)00060-4

DO - 10.1016/S1089-3156(99)00060-4

M3 - Article

AN - SCOPUS:0033816057

SN - 1089-3156

VL - 11

SP - 63

EP - 80

JO - Computational and Theoretical Polymer Science

JF - Computational and Theoretical Polymer Science

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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