Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate

Abdallah Daddi-Moussa-Ider; Andrej Vilfan; Yuto Hosaka

doi:10.1063/5.0249623

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arXiv · 2501.03046

Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate

Abdallah Daddi-Moussa-Ider·Andrej Vilfan·Yuto Hosaka

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Abstract

Chiral active fluids can exhibit odd viscosity, a property that breaks the time-reversal and parity symmetries. Here, we examine the hydrodynamic flows of a rigid disk moving in a compressible 2D fluid layer with odd viscosity, supported by a thin lubrication layer of a conventional fluid. Using the 2D Green's function in Fourier space, we derive an exact analytical solution for the flow around a disk of arbitrary size, as well as its resistance matrix. The resulting resistance coefficients break the Onsager reciprocity, but satisfy the Onsager-Casimir reciprocity to any order in odd viscosity.

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Abdallah Daddi-Moussa-Ider, Andrej Vilfan, Yuto Hosaka. 2025-01-06. Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate. https://doi.org/10.1063/5.0249623

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