Model of the interaction between a charged particle and a pore in a charged membrane surface

W. Richard Bowen, Anatoly N. Filippov, Adel O. Sharif, Victor M. Starov

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

A model of the electrostatic and molecular interactions of a charged colloid particle with a charged membrane surface in an electrolyte solution has been developed. In Derjaguin's approximation, the force between a spherical colloid particle and a cylindrical membrane pore (with a rounded inlet) is calculated taking into account both electrostatic and van der Waals interactions. The force and energy are strongly dependent on the zeta-potential of both the particle and the membrane pore, the electrolyte concentration, and geometrical parameters. Conditions are found for which a potential barrier exists at the pore entrance. This barrier prevents a particle from entering the pore and, hence, gives an equilibrium position of the particle above the membrane surface. Therefore, there is a possibility in this case of removing the particle by a tangential flow, preventing pore blocking. The model was verified using a Finite Element Method (FEM) analysis developed earlier for colloidal interactions by two co-authors. It has been found that the accuracies of analytical formulae obtained for the interaction energy and force are within 10 and 20%, respectively, for practical application ranges of physico-chemical and geometrical parameters. Two major advantages of the model proposed compared to FEM calculations are: (1) the possibility of non-centerline calculations (when a particle is not moving along the axis of a membrane pore) without a three-dimensional solution; and (2) speed of calculations using the analytical formulae is much higher. Using a simplified expression for hydrodynamic force, critical values of pressure gradients across the membrane pore have been calculated analytically.

Original languageEnglish
Pages (from-to)35-72
Number of pages38
JournalAdvances in Colloid and Interface Science
Volume81
Issue number1
DOIs
Publication statusPublished - 1 Jun 1999
Externally publishedYes

Fingerprint

Charged particles
charged particles
membranes
Membranes
porosity
Colloids
interactions
Electrolytes
Particles (particulate matter)
colloids
finite element method
Finite element method
electrolytes
electrostatics
Molecular interactions
Zeta potential
Coulomb interactions
Pressure gradient
molecular interactions
Electrostatics

ASJC Scopus subject areas

  • Colloid and Surface Chemistry
  • Physical and Theoretical Chemistry
  • Surfaces and Interfaces

Cite this

Model of the interaction between a charged particle and a pore in a charged membrane surface. / Richard Bowen, W.; Filippov, Anatoly N.; Sharif, Adel O.; Starov, Victor M.

In: Advances in Colloid and Interface Science, Vol. 81, No. 1, 01.06.1999, p. 35-72.

Research output: Contribution to journalArticle

Richard Bowen, W. ; Filippov, Anatoly N. ; Sharif, Adel O. ; Starov, Victor M. / Model of the interaction between a charged particle and a pore in a charged membrane surface. In: Advances in Colloid and Interface Science. 1999 ; Vol. 81, No. 1. pp. 35-72.
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