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Diffusiophoresis in a Taylor-dispersing solute

Robben E. Migacz and Jesse T. Ault*

  • Center for Fluid Mechanics, School of Engineering, Brown University, Providence, Rhode Island 02912, USA

  • *jesse_ault@brown.edu
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Phys. Rev. Fluids 7, 034202 – Published 7 March, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.034202

Abstract

We consider the diffusiophoresis of a suspension of charged colloidal particles in the presence of a nonuniform solute concentration, where each species experiences Taylor dispersion from spanwise velocity gradients. We describe the two-dimensional evolution of both solute and particle concentration fields in a narrow channel with background Poiseuille flow by applying the lubrication approximation along with the assumption of constant particle ζ potential. We compare the theoretical predictions with the results of numerical simulations for fixed particle ζ potential, demonstrating good agreement. Finally, we comment on three-dimensional effects, long-time dynamics, and the validity of the constant particle ζ potential assumption for our model. We perform additional simulations with a simple variable-ζ potential model that treats the particle ζ potential as a logarithmic function of solute concentration. The results show good qualitative and quantitative agreement, supporting the use of the constant particle ζ potential assumption for this system under certain circumstances.

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Corrections

6 July, 2022

Correction: Equation (6) and the displayed equations in Sec. II D contained the wrong sign before ΓpDs and have been fixed. In Figure 6, the directions of the blue curves were erroneous and have been reversed. The color indicators in the rightmost panels of Figs. 7, 12, and 13 and in both panels of Fig. 10 were presented incorrectly and have been reversed.

Article Text

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Outline

Information

Phys. Rev. Fluids 7, 034202– Published 7 March, 2022
  • Received 3 September 2021
  • Accepted 16 February 2022
  • Corrected 6 July 2022
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