Electro-osmotic flow through a nanopore

M. Mao, J. D. Sherwood, S. Ghosal*

*Corresponding author for this work

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Electro-osmotic pumping of fluid through a nanopore that traverses an insulating membrane is considered. The density of surface charge on the membrane is assumed to be uniform and sufficiently low for the Poisson-Boltzmann equation to be linearized. The reciprocal theorem gives the flow rate generated by an applied weak electric field, expressed as an integral over the fluid volume. For a circular hole in a membrane of zero thickness, an analytical result is possible up to quadrature. For a membrane of arbitrary thickness, the full Poisson-Nernst-Planck-Stokes system of equations is solved numerically using a finite volume method. The numerical solution agrees with the standard analytical result for electro-osmotic flux through a long cylindrical pore when the membrane thickness is large compared to the hole diameter. When the membrane thickness is small, the flow rate agrees with that calculated using the reciprocal theorem.

Original languageEnglish (US)
Pages (from-to)167-183
Number of pages17
JournalJournal of fluid Mechanics
Volume749
DOIs
StatePublished - Jun 2014

Keywords

  • MEMS/NEMS
  • electrohydrodynamic effects
  • microfluidics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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