Lift force in odd compressible fluids
Abstract
We compute the response matrix for a tracer particle in a compressible fluid with odd viscosity living on a two-dimensional surface. Unlike the incompressible case, we find that an odd compressible fluid can produce an odd lift force on a tracer particle. Using a "shell localization" formalism, we provide analytic expressions for the drag and odd lift forces acting on the tracer particle in a steady state and also at finite frequency. Importantly, we find that the existence of an odd lift force in a steady state requires taking into account the non-conservation of the fluid mass density due to the coupling between the two-dimensional surface and the three-dimensional bulk fluid.
Cite
@article{arxiv.2205.12704,
title = {Lift force in odd compressible fluids},
author = {Ruben Lier and Charlie Duclut and Stefano Bo and Jay Armas and Frank Jülicher and Piotr Surówka},
journal= {arXiv preprint arXiv:2205.12704},
year = {2023}
}
Comments
The first two authors contributed equally ; accepted manuscript version