Analytical response functions for a compressible thin fluid layer with odd viscosity

TL;DR

This paper derives exact analytical solutions for flow and pressure fields in a compressible thin fluid layer with odd viscosity, revealing how chiral active components influence hydrodynamic interactions and particle dynamics.

Contribution

It provides the first explicit analytical Green's function solutions for a compressible fluid layer with odd viscosity, enhancing understanding of chiral fluid behavior.

Findings

Exact solutions for flow and pressure fields are derived.

Odd viscosity significantly alters particle interactions and collective dynamics.

Results are applicable to active and chiral microfluidic systems.

Abstract

Fluids composed of chiral active components can exhibit odd viscosity, a property that breaks time-reversal and parity symmetries. We investigate the hydrodynamic response to monopole and dipole singularities in a compressible thin fluid layer with odd viscosity, supported by a conventional lubrication layer. Using the two-dimensional Green's function in Fourier space, we derive exact analytical solutions for the flow and pressure fields. These solutions provide a detailed description of the hydrodynamic interactions governing the motion of colloidal particles and microswimmers in confined chiral fluids, offering insight into the role of odd viscosity in modifying particle dynamics and collective behavior. The derived results are directly applicable to modeling transport, control, and self-organization phenomena in active and chiral microfluidic systems.