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.

The first two authors contributed equally ; accepted manuscript version

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• Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate
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• Condensate Formation in a Chiral Lattice Gas
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
• Stokes flow in an electronic fluid with odd viscosity
• Linear odd electrophoresis of a sphere in a charged chiral active fluid