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arXiv · 2205.12704

Lift force in odd compressible fluids

Ruben Lier·Charlie Duclut·Stefano Bo·Jay Armas·Frank Jülicher·Piotr Surówka
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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.

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Ruben Lier, Charlie Duclut, Stefano Bo, Jay Armas, Frank Jülicher, Piotr Surówka. 2022-05-25. Lift force in odd compressible fluids. https://doi.org/10.1103/physreve.108.l023101

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