The charge effect on the hindrance factors for diffusion and convection of a solute in pores II

Takeshi Akinaga, Hideyuki O-Tani, Masako Sugihara-Seki

Research output: Contribution to journalArticle

Abstract

The diffusion and convection of a solute suspended in a fluid across porous membranes are known to be reduced compared to those in a bulk solution, owing to the fluid mechanical interaction between the solute and the pore wall as well as steric restriction. If the solute and the pore wall are electrically charged, the electrostatic interaction between them could affect the hindrance to diffusion and convection. In this study, the transport of charged spherical solutes through charged circular cylindrical pores filled with an electrolyte solution containing small ions was studied numerically by using a fluid mechanical and electrostatic model. Based on a mean field theory, the electrostatic interaction energy between the solute and the pore wall was estimated from the Poisson-Boltzmann equation, and the charge effect on the solute transport was examined for the solute and pore wall of like charge. The results were compared with those obtained from the linearized form of the Poisson-Boltzmann equation, i.e.the Debye-Hückel equation.
Original languageEnglish
Article number065504
Number of pages14
JournalFluid Dynamics Research
Volume44
Issue number6
DOIs
Publication statusPublished - Oct 2012

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solutes
convection
Boltzmann equation
Coulomb interactions
porosity
Fluids
Solute transport
Mean field theory
Electrolytes
electrostatics
Electrostatics
fluids
Ions
Membranes
interactions
Convection
constrictions
electrolytes
membranes
ions

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Akinaga, Takeshi ; O-Tani, Hideyuki ; Sugihara-Seki, Masako. / The charge effect on the hindrance factors for diffusion and convection of a solute in pores II. In: Fluid Dynamics Research. 2012 ; Vol. 44, No. 6.
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The charge effect on the hindrance factors for diffusion and convection of a solute in pores II. / Akinaga, Takeshi; O-Tani, Hideyuki; Sugihara-Seki, Masako.

In: Fluid Dynamics Research, Vol. 44, No. 6, 065504, 10.2012.

Research output: Contribution to journalArticle

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