The hydrodynamic and electrostatic interactions on the approach and entry of a charged spherical particle to a charged cylindrical pore in a charged planar surface with implications for membrane separation processes

W. R. Bowen, A. O. Sharif

Research output: Chapter in Book/Report/Conference proceedingChapter

28 Citations (Scopus)

Abstract

The application of membrane separation processes, such as microfiltration and ultrafiltration, is one of the most important developments in chemical engineering in recent years. The paper presents a quantification of both electrostatic and hydrodynamic effects to identify conditions for the operation of such processes with much greater efficiency. In particular, the hydrodynamic and electrostatic forces on a charged spherical particle as a function of distance of approach and entry to a charged cylindrical pore in a charged planar surface have been calculated. A Galerkin finite-element scheme has been used to provide numerical solutions of the nonlinear Poisson-Boltzmann equation for electrostatic interactions and of the Navier-Stokes equations for hydrodynamic interactions, with the Newton sequence technique being used to solve the Poisson-Boltzmann equation. The results show that the electrostatic interactions can play a crucial role in controlling the approach and entry of such a particle to a pore.

Original languageEnglish
Title of host publicationProceedings - Royal Society of London, A
Pages2121-2140
Number of pages20
Volume452
Edition1952
Publication statusPublished - 1 Dec 1996
Externally publishedYes

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Coulomb interactions
Hydrodynamics
Boltzmann equation
Membranes
Microfiltration
Electrostatic force
Chemical engineering
Ultrafiltration
Navier Stokes equations
Electrostatics

ASJC Scopus subject areas

  • Engineering(all)

Cite this

The hydrodynamic and electrostatic interactions on the approach and entry of a charged spherical particle to a charged cylindrical pore in a charged planar surface with implications for membrane separation processes. / Bowen, W. R.; Sharif, A. O.

Proceedings - Royal Society of London, A. Vol. 452 1952. ed. 1996. p. 2121-2140.

Research output: Chapter in Book/Report/Conference proceedingChapter

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