Wave-crests around obstacles in odd viscous liquids
Phys. Rev. Fluids 11, 104101 – Published 14 October, 2026
DOI: https://doi.org/10.1103/sm6p-qky2
Abstract
The values of liquid odd-viscosity coefficients remain largely unknown, with only one experimental measurement reported to date [Nat. Phys. 15, 1188 (2019)]. In this work, inspired by the well-known consequences of dispersion surfaces in classical liquids from the work of Lighthill, we theoretically determine the shapes of constant-phase wave crests formed around obstacles moving at constant velocity in two- and three-dimensional odd viscous liquids, which may or may not undergo rigid rotation. From this analysis, we derive parametric relations that the odd-viscosity coefficients must satisfy, providing a framework for their experimental determination.
