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Diffusiophoresisin Suspensions of Charged PorousParticles.

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Title:	Diffusiophoresisin Suspensions of Charged PorousParticles.
Authors:	Huang, Hsin Y.¹, Keh, Huan J.¹
Source:	Journal of Physical Chemistry B. Feb2015, Vol. 119 Issue 5, p2040-2050. 11p.
Subjects:	Suspensions (Chemistry), Porous materials, Electric double layer, Electric potential, Polyelectrolytes, Differential equations
Abstract:	An analysis of the diffusiophoreticmotion in a suspension of chargedporous spheres in an electrolytic solution with a macroscopic concentrationgradient is presented. Each porous particle can be a solvent-permeableand ion-penetrable charged floc or polyelectrolyte molecule, in whichthe densities of the fixed charges and frictional segments are constant,surrounded by an arbitrary electric double layer. The multiparticleinteraction effects are considered through the use of a unit cellmodel, which allows the overlap of adjacent double layers. The differentialequations governing the electric potential, ionic concentration, andfluid velocity distributions inside and outside the porous particlein a unit cell are linearized by assuming that the system is onlyslightly deviated from equilibrium and then solved as power expansionsin its dimensionless fixed-charge density. A closed-form expressionfor the diffusiophoretic velocity of the porous particle correct tothe second order of the fixed charge density is obtained from a balancebetween the electrostatic and hydrodynamic forces acting on it. Detailedcomparisons of the results for the multiparticle diffusiophoresisobtained from the cell model with various boundary conditions aremade. The effect of particle interactions on the diffusiophoresis,which is a linear combination of electrophoresis and chemiphoresis,can be significant and complicated in typical situations. Althoughthe electrophoretic mobility of the particles decreases with an increasein the particle volume fraction, their chemiphoretic mobility is notnecessarily a monotonic function of it. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

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Abstract:	An analysis of the diffusiophoreticmotion in a suspension of chargedporous spheres in an electrolytic solution with a macroscopic concentrationgradient is presented. Each porous particle can be a solvent-permeableand ion-penetrable charged floc or polyelectrolyte molecule, in whichthe densities of the fixed charges and frictional segments are constant,surrounded by an arbitrary electric double layer. The multiparticleinteraction effects are considered through the use of a unit cellmodel, which allows the overlap of adjacent double layers. The differentialequations governing the electric potential, ionic concentration, andfluid velocity distributions inside and outside the porous particlein a unit cell are linearized by assuming that the system is onlyslightly deviated from equilibrium and then solved as power expansionsin its dimensionless fixed-charge density. A closed-form expressionfor the diffusiophoretic velocity of the porous particle correct tothe second order of the fixed charge density is obtained from a balancebetween the electrostatic and hydrodynamic forces acting on it. Detailedcomparisons of the results for the multiparticle diffusiophoresisobtained from the cell model with various boundary conditions aremade. The effect of particle interactions on the diffusiophoresis,which is a linear combination of electrophoresis and chemiphoresis,can be significant and complicated in typical situations. Althoughthe electrophoretic mobility of the particles decreases with an increasein the particle volume fraction, their chemiphoretic mobility is notnecessarily a monotonic function of it. [ABSTRACT FROM AUTHOR]
ISSN:	15206106
DOI:	10.1021/jp510448x