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

2025/01/06 by Abdallah Daddi‐Moussa‐Ider, Daddi-Moussa-Ider, Abdallah, Andrej Vilfan +3 · 2 citations
Earth and Planetary Sciences · Engineering · #Aquatic and Environmental Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geotechnical and Geomechanical Engineering #Material Science and Thermodynamics #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2501.03046

openalex publication_date 2025/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Obstacle-tuned transition from chaotic to coherent vortex flows and odd diffusion in chiral active fluids
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