Influence of Hydrodynamic Interactions on the Kinetics of Colloidal Particle's Adsorption

TL;DR

This paper investigates how hydrodynamic interactions influence the adsorption kinetics of colloidal particles, showing that including these interactions aligns theoretical predictions with experimental observations near surface saturation.

Contribution

It introduces a theoretical model that incorporates hydrodynamic interactions, explaining the experimentally observed $t^{-1/2}$ power-law behavior.

Findings

Hydrodynamic interactions modify the adsorption kinetics.

The model aligns with experimental power-law behavior.

Near saturation, the asymptotic behavior matches experiments.

Abstract

The kinetics of irreversible adsorption of spherical particles onto a flat surface is theoretically studied. Previous models, in which hydrodynamic interactions were disregarded, predicted a power-law behavior $t^{-2/3}$ for the time dependence of the coverage of the surface near saturation. Experiments, however, are in agreement with a power-law behavior of the form $t^{-1/2}$. We outline that, when hydrodynamic interactions are considered, the assymptotic behavior is found to be compatible with the experimental results in a wide region near saturation.