Abstract

Abstract

Highlights

  • Deterministic motion of a colloidal-scale species can be induced by the concentration gradient of a surrounding solute

  • Because of the different strengths of hydrodynamic flow examined, different initial locations of the solute and colloid centroid are used across §§ 3.1–3.4

  • We focus our analyses on a non-decaying colloidal species, Γ = 0; readers are referred to e.g. Subramanian & Gill (1974); Shapiro & Brenner (1986) for detailed discussions of the dispersion of decaying colloids

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Summary

Introduction

Deterministic motion of a colloidal-scale species can be induced by the concentration gradient of a surrounding solute. For charged colloids in electrolyte solutions, the concentration gradient of the electrolyte causes motion known as diffusiophoresis (Anderson 1989; Velegol et al 2016; Marbach & Bocquet 2019). The diffusiophoretic velocity relates to the gradient of the logarithm of the solute concentration S via the diffusiophoretic mobility M, which has been termed a ‘log-sensing’ response (Palacci et al 2012). Since the solute concentration in a system is often inhomogeneous, diffusiophoresis plays a role in numerous natural phenomena and applications such as mineral replacement reactions, drug delivery and enhanced oil recovery (Velegol et al 2016; Marbach & Bocquet 2019)

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