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Diffusiophoresis in one-dimensional solute gradients

Abstract

The diffusiophoretic motion of suspended colloidal particles under one-dimensional solute gradients is solved using numerical and analytical techniques. Similarity solutions are developed for the injection and withdrawal dynamics of particles into semi-infinite pores. Furthermore, a method of characteristics formulation of the diffusion-free particle transport model is presented and integrated to realize particle trajectories. Analytical solutions are presented for the limit of small particle diffusiophoretic mobility Γp relative to the solute diffusivity Ds for particle motions in both semi-infinite and finite domains. Results confirm the build up of local maxima and minima in the propagating particle front dynamics. The method of characteristics is shown to successfully predict particle motions and the position of the particle front, although it fails to accurately predict suspended particle concentrations in the vicinity of sharp gradients, such as at the particle front peak seen in some injection cases, where particle diffusion inevitably plays an important role. Results inform the design of applications in which the use of applied solute gradients can greatly enhance particle injection and withdrawal into pores.

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Publication details

The article was received on 07 Aug 2017, accepted on 05 Nov 2017 and first published on 06 Nov 2017


Article type: Paper
DOI: 10.1039/C7SM01588G
Citation: Soft Matter, 2017, Accepted Manuscript
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    Diffusiophoresis in one-dimensional solute gradients

    J. Ault, P. B. Warren, S. Shin and H. A. Stone, Soft Matter, 2017, Accepted Manuscript , DOI: 10.1039/C7SM01588G

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