Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate

TL;DR

This paper investigates how odd viscosity in a compressible fluid layer affects the flow field and frictional resistance of a rotating disk, revealing unique radial flows and increased resistance.

Contribution

It introduces the effects of odd viscosity on hydrodynamics of rotating disks, including radial flow components and modifications to rotational resistance.

Findings

Odd viscosity induces radial flow components that depend on its sign.

Odd viscosity increases the rotational resistance coefficient.

Hydrodynamic interactions between disks can lead to attraction or repulsion.

Abstract

We analyze the hydrodynamics of a rotating disk in a two-dimensional compressible fluid layer with odd viscosity. Unlike conventional fluids, odd viscosity introduces a radial flow component that can be directed either inward or outward, depending on its sign. This phenomenon is expected to significantly impact the hydrodynamic interactions between two rotating disks, potentially causing effective attraction or repulsion depending on the sign of the odd viscosity and the direction of rotation. Furthermore, we calculate the rotational resistance coefficient and find that odd viscosity increases this coefficient, regardless of its sign.