Diffusiophoresis in one-dimensional solute gradients

Ault, Jesse T.; Warren, Patrick B.; Shin, Sangwoo; Stone, Howard A.

doi:10.1039/C7SM01588G

Diffusiophoresis in one-dimensional solute gradients

Journal Article · Mon Nov 06 00:00:00 EST 2017 · Soft Matter

DOI:https://doi.org/10.1039/C7SM01588G· OSTI ID:1410919

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Unilever R&D Port Sunlight, Bebington (United Kingdom)
Univ. of Hawaii at Manoa, Honolulu, HI (United States)
Princeton Univ., Princeton, NJ (United States)

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.

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: DOE Office of Science; USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1410919

Journal Information:: Soft Matter, Journal Name: Soft Matter Vol. 13; ISSN SMOABF; ISSN 1744-683X

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

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Stratification of mixtures in evaporating liquid films occurs only for a range of volume fractions of the smaller component Sear, Richard P. The Journal of Chemical Physics, Vol. 148, Issue 13 https://doi.org/10.1063/1.5022243	journal	April 2018
Stratification of mixtures in evaporating liquid films occurs only for a range of volume fractions of the smaller component Sear, Richard P. arXiv https://doi.org/10.48550/arxiv.1801.03021	text	January 2018

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