Taylor halos and Taylor spears in odd viscous liquids

TL;DR

This paper demonstrates that odd or Hall viscosity in nondissipative liquids can produce Taylor column structures similar to those in rotating fluids, leading to effective two-dimensional flow patterns.

Contribution

It introduces the concept that nondissipative odd viscosity can generate Taylor halos and spears, expanding the understanding of flow structures in such fluids.

Findings

Taylor halos and spears form in odd viscous liquids.

Flow becomes effectively two-dimensional around the Taylor structures.

Data propagates along characteristics parallel or oblique to the axis.

Abstract

A body placed in a rigidly-rotating fluid becomes circumscribed by a fictitious cylinder with generators parallel to the axis of rotation, a Taylor column. Slowly-moving liquid impinging on the body will swerve around the cylinder. Thus, Taylor columns may form when a breeze impinges on a mountain or when slowly-moving oceanic water impinges on a seamount, both due to the Earth's rotation. Here we show that classical non-rotating liquids endowed with an odd or Hall coefficient of viscosity, exhibiting nondissipative behavior, also give rise to Taylor column structures resembling halos or spears. Steady three-dimensional flow of such a liquid becomes effectively two dimensional, swirling around the Taylor column imitating its rigidly-rotating counterparts. Formation of Taylor halos and spears is attributed to the propagation of data along characteristics that may be parallel or oblique to a center axis, respectively.