Hindered stokesian settling of discs and rods

TL;DR

This study measures how non-spherical particles like discs and rods settle in a fluid, revealing that their hindered settling behavior can be predicted based on particle volume, simplifying understanding of sedimentation in suspensions.

Contribution

It demonstrates that hindered settling of non-spherical particles can be scaled and predicted using a volume-based factor, extending models beyond spherical particles.

Findings

Discs and rods exhibit less hindered settling than spheres at the same relative separation.

Settling data for various shapes collapse onto sphere data when scaled by a volume-dependent factor.

Hindered settling behavior primarily depends on particle volume, regardless of shape complexity.

Abstract

We report measurements of the mean settling velocities for suspensions of discs and rods in the stokes regime for a number of particle aspect ratios. All these shapes display ''hindered settling'', namely, a decrease in settling speed as the solid volume fraction is increased. A comparison of our data to spheres reveals that discs and rods show less hindering than spheres at the same relative interparticle separation. The data for all six of our particle shapes may be scaled to collapse on that of spheres, with a scaling factor that depends only on the volume of the particle relative to a sphere. Despite the orientational degrees of freedom available with nonspherical particles, it thus appears that the dominant contribution to the hindered settling emerges from terms that are simply proportional to the volume of the sedimenting particles, enabling prediction of hindered settling of other nonpolar axisymmetric shapes.