TL;DR
This paper investigates how odd (Hall) viscosity influences the lift force on a cylinder in a neutral gas flow, revealing effects of broken time-reversal symmetry at low Reynolds numbers.
Contribution
It provides the first analytical calculation of lift force caused by odd viscosity in a low Reynolds number flow past a cylinder.
Findings
Lift force arises due to odd viscosity in the flow.
Analytical solution using Oseen approximation.
Highlights the role of broken time-reversal symmetry.
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.
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