Dissipative effects in odd viscous Stokes flow around a single sphere

TL;DR

This paper investigates how odd viscosity influences dissipation in three-dimensional Stokes flow around a sphere, revealing that OV can indirectly contribute to dissipation and offering a method to quantify its effects.

Contribution

It provides the first analytical quantification of dissipation effects due to odd viscosity in 3D Stokes flow around a sphere, linking OV to measurable flow properties.

Findings

OV can indirectly cause dissipation in 3D fluids

Exact analytical solution for flow around a sphere with OV

Method to measure OV effects via particle motion

Abstract

Odd viscosity (OV) is a transport coefficient in, for example, fluids of self-spinning (active) particles or electrons in an external magnetic field. The key feature of OV is that it does not contribute to dissipation in two spatial dimensions. In contrast, we explicitly show that in the three-dimensional case, OV can contribute indirectly to dissipation by modifying the fluid flow. We quantify the dissipation rate of a single spherical particle moving through a fluid with OV via an exact analytical solution of the generalised stationary creeping flow equations. Our results provide a novel way to quantify the effects of OV by measuring the solid-body motion of a single spherical particle. Moreover, we explicitly demonstrate how complex fluids can be designed in terms of their rheological properties by mixing passive particles with self-spinning active particles.