Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity

Abstract

We discuss hydrodynamic forces acting on a two-dimensional liquid domain that moves laterally within a supported fluid membrane in the presence of odd viscosity. Since active rotating proteins can accumulate inside the domain, we focus on the difference in odd viscosity between the inside and outside of the domain. Taking into account the momentum leakage from a two-dimensional incompressible fluid to the underlying substrate, we analytically obtain the fluid flow induced by the lateral domain motion, and calculate the drag and lift forces acting on the moving liquid domain. In contrast to the passive case without odd viscosity, the lateral lift arises in the active case only when the in/out odd viscosities are different. The in/out contrast in the odd viscosity leads to nonreciprocal hydrodynamic responses of an active liquid domain.

12 pages, 5 figures

References in corpus (4)

• Hydrodynamic interaction in confined geometries
• Odd Diffusivity of Chiral Random Motion
• Anomalous diffusion in viscoelastic media with active force dipoles
• Localization and diffusion of tracer particles in viscoelastic media with active force dipoles

Cited by in corpus (21)

• Odd Viscosity and Odd Elasticity
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• Lift force in odd compressible fluids
• Geometry-Induced Dynamics of Confined Chiral Active Matter
• Time-correlation functions for odd Langevin systems
• Hydrodynamics of an odd active surfer in a chiral fluid
• Nonequilibrium Transport Induced by Biological Nanomachines
• Variational methods and deep Ritz method for active elastic solids
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Pair dynamics of active force dipoles in an odd-viscous fluid
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Chirotactic response of microswimmers in fluids with odd viscosity
• Odd elasticity of a catalytic micromachine
• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• Axisymmetric monopole and dipole flow singularities in proximity of a stationary no-slip plate immersed in a Brinkman fluid
• Slip-induced odd viscous flow past a cylinder
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Hydrodynamics of a disk in a thin film of weakly nematic fluid subject to linear friction
• Rotational dynamics of a disk in a thin film of weakly nematic fluid subject to linear friction
• Dumbbell dimer dynamics in three-dimensional chiral fluids