Advanced

Ultrafiltration of colloidal dispersions - A theoretical model of the concentration polarization phenomena

Jönsson, Ann-Sofi LU and Jönsson, Bengt LU (1996) In Journal of Colloid and Interface Science 180(2). p.504-518
Abstract
A general thermodynamic model of the concentration polarization phenomena of colloidal particles at a membrane surface is presented. The model is based on the balance between a thermodynamic force, due to the osmotic pressure gradient, and a frictional force, due to the fluid flow around each particle. A cell model description is used to model the concentration dependence of the thermodynamic force as well as the how properties in the concentrated colloidal solution. Equilibrium thermodynamics of the colloidal system can be used in the cell calculations since local equilibrium is assumed in the neighborhood of each colloidal particle (i.e., in each cell). This means that the concentration dependence of the osmotic pressure can be obtained,... (More)
A general thermodynamic model of the concentration polarization phenomena of colloidal particles at a membrane surface is presented. The model is based on the balance between a thermodynamic force, due to the osmotic pressure gradient, and a frictional force, due to the fluid flow around each particle. A cell model description is used to model the concentration dependence of the thermodynamic force as well as the how properties in the concentrated colloidal solution. Equilibrium thermodynamics of the colloidal system can be used in the cell calculations since local equilibrium is assumed in the neighborhood of each colloidal particle (i.e., in each cell). This means that the concentration dependence of the osmotic pressure can be obtained, either from an experimental determination or from a theoretical model of the bulk properties of the colloidal system. To exemplify the usefulness of the model when establishing the influence of different operating parameters, such as the transmembrane pressure, the fluid shear, or different solution properties, such as concentration, particle size, pH, and ionic strength, a model system of charged spherical colloidal particles is used. The interaction between the particles is in the presented examples assumed to be a combination of electrostatic interactions, calculated from the Poisson-Boltzmann equation, dispersion forces, calculated as additive 1/r(6) interactions, and a hard sphere interaction calculated from the Carnahan-Starling equation. (C) 1996 Academic Press, Inc. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
colloids, flow model, osmotic pressure, concentration polarization, ultrafiltration
in
Journal of Colloid and Interface Science
volume
180
issue
2
pages
504 - 518
publisher
Elsevier
external identifiers
  • wos:A1996UT35000024
  • scopus:0030601127
ISSN
1095-7103
DOI
10.1006/jcis.1996.0331
language
English
LU publication?
yes
id
f218defd-3020-4402-881e-620fc44fdc43 (old id 3915758)
date added to LUP
2013-07-02 10:25:33
date last changed
2017-10-08 03:40:25
@article{f218defd-3020-4402-881e-620fc44fdc43,
  abstract     = {A general thermodynamic model of the concentration polarization phenomena of colloidal particles at a membrane surface is presented. The model is based on the balance between a thermodynamic force, due to the osmotic pressure gradient, and a frictional force, due to the fluid flow around each particle. A cell model description is used to model the concentration dependence of the thermodynamic force as well as the how properties in the concentrated colloidal solution. Equilibrium thermodynamics of the colloidal system can be used in the cell calculations since local equilibrium is assumed in the neighborhood of each colloidal particle (i.e., in each cell). This means that the concentration dependence of the osmotic pressure can be obtained, either from an experimental determination or from a theoretical model of the bulk properties of the colloidal system. To exemplify the usefulness of the model when establishing the influence of different operating parameters, such as the transmembrane pressure, the fluid shear, or different solution properties, such as concentration, particle size, pH, and ionic strength, a model system of charged spherical colloidal particles is used. The interaction between the particles is in the presented examples assumed to be a combination of electrostatic interactions, calculated from the Poisson-Boltzmann equation, dispersion forces, calculated as additive 1/r(6) interactions, and a hard sphere interaction calculated from the Carnahan-Starling equation. (C) 1996 Academic Press, Inc.},
  author       = {Jönsson, Ann-Sofi and Jönsson, Bengt},
  issn         = {1095-7103},
  keyword      = {colloids,flow model,osmotic pressure,concentration polarization,ultrafiltration},
  language     = {eng},
  number       = {2},
  pages        = {504--518},
  publisher    = {Elsevier},
  series       = {Journal of Colloid and Interface Science},
  title        = {Ultrafiltration of colloidal dispersions - A theoretical model of the concentration polarization phenomena},
  url          = {http://dx.doi.org/10.1006/jcis.1996.0331},
  volume       = {180},
  year         = {1996},
}