Lift force due to odd (Hall) viscosity

Abstract

We study the problem of flow of a neutral gas past an infinite cylinder at right angle to its axis at low Reynolds number when the fluid is characterized by broken time-reversal invariance, and hence by odd viscosity in addition to the normal even one. We solve the Oseen approximation to Navier-Stokes equation and calculate the lift force which appears due to the odd viscosity.

LaTeX, 4 pages. As accepted for publication in PRE. arXiv admin note: text overlap with arXiv:1605.02782 by other authors

References in corpus (3)

• Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States
• Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
• Hall viscosity and electromagnetic response of electrons in graphene

Cited by in corpus (10)

• Odd Viscosity and Odd Elasticity
• Odd viscosity in two-dimensional incompressible fluids
• Odd Diffusivity of Chiral Random Motion
• Active viscoelasticity of odd materials
• Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
• Non-reciprocal response of a two-dimensional fluid with odd viscosity
• Passive odd viscoelasticity
• Lift force in odd compressible fluids
• Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity
• Quantum Hall effective action for anisotropic Dirac semi-metal