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arXiv · 1912.06473

Particle shapes leading to Newtonian dilute suspensions

David A. King·Masao Doi·Erika Eiser
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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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David A. King, Masao Doi, Erika Eiser. 2019-12-13. Particle shapes leading to Newtonian dilute suspensions. https://doi.org/10.1103/physreve.102.032615

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