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Title: Diffusiophoresis in one-dimensional solute gradients

Abstract

Here, 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 Γ p relative to the solute diffusivity D s 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 into and withdrawal from pores.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Unilever R&D Port Sunlight, Bebington (United Kingdom)
  3. Univ. of Hawaii at Manoa, Honolulu, HI (United States)
  4. Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1410919
DOE Contract Number:
AC05-00OR22725
Resource Type:
Journal Article
Resource Relation:
Journal Name: Soft Matter; Journal Volume: 13
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ault, Jesse T., Warren, Patrick B., Shin, Sangwoo, and Stone, Howard A.. Diffusiophoresis in one-dimensional solute gradients. United States: N. p., 2017. Web. doi:10.1039/C7SM01588G.
Ault, Jesse T., Warren, Patrick B., Shin, Sangwoo, & Stone, Howard A.. Diffusiophoresis in one-dimensional solute gradients. United States. doi:10.1039/C7SM01588G.
Ault, Jesse T., Warren, Patrick B., Shin, Sangwoo, and Stone, Howard A.. Mon . "Diffusiophoresis in one-dimensional solute gradients". United States. doi:10.1039/C7SM01588G.
@article{osti_1410919,
title = {Diffusiophoresis in one-dimensional solute gradients},
author = {Ault, Jesse T. and Warren, Patrick B. and Shin, Sangwoo and Stone, Howard A.},
abstractNote = {Here, 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 into and withdrawal from pores.},
doi = {10.1039/C7SM01588G},
journal = {Soft Matter},
number = ,
volume = 13,
place = {United States},
year = {Mon Nov 06 00:00:00 EST 2017},
month = {Mon Nov 06 00:00:00 EST 2017}
}