Particle shapes leading to Newtonian dilute suspensions
Soft Condensed Matter
2021-02-03 v1 Fluid Dynamics
Abstract
It is well known that suspensions of particles in a viscous fluid can affect the rheology significantly, producing a pronounced non-Newtonian response even in dilute suspension. However, it is unclear a priori which particle shapes lead to this behaviour. We present two simple symmetry conditions on the shape which are sufficient for a dilute suspension to be Newtonian for all strain sizes and one sufficient for Newtonian behavior for small strains. We also construct a class of shapes out of thin, rigid rods not found by the symmetry argument which share this property for small strains.
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Cite
@article{arxiv.1912.06473,
title = {Particle shapes leading to Newtonian dilute suspensions},
author = {David A. King and Masao Doi and Erika Eiser},
journal= {arXiv preprint arXiv:1912.06473},
year = {2021}
}