Slip-induced odd viscous flow past a cylinder
arXiv:2402.02628 · doi:10.1103/PhysRevFluids.9.094101
Abstract
Odd viscosity is a transport coefficient that can occur when fluids experience breaking of parity and time-reversal symmetry. Previous knowledge indicates that cylinders in incompressible odd viscous fluids, under no-slip boundary conditions, do not exhibit lift force, a phenomenon that poses challenges for the experimental detection of odd viscosity. This study investigates the impact of slip in Stokes flow, employing the odd generalization of the Lorentz reciprocal theorem. Our findings reveal that, at linear order in slip length, lift does not manifest. Subsequently, we explore the scenario involving a thin sheet with momentum decay as well as that of a finite system size, demonstrating that for Stokes flow lift does occur for the second order slip length contribution. We address cylinder flow beyond the Stokes approximation by solving the Oseen equation to obtain a fluid profile that shows an interplay between odd viscosity and inertia, and acquire an explicit expression for the leading order slip length contribution to Oseen lift at low Reynolds number.
References in corpus (26)
- Viscosity of Quantum Hall Fluids
- Odd viscosity in chiral active fluids
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Topological waves in fluids with odd viscosity
- The response function of a sphere in a viscoelastic two-fluid medium
- Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
- The boundary conditions of viscous electron flow
- Odd viscosity in two-dimensional incompressible fluids
- Statistical mechanics of a chiral active fluid
- Odd viscosity in active matter: microscopic origin and 3D effects
- Influence of slip on the dynamics of two-dimensional wakes
- Simple Viscous Flows: from Boundary Layers to the Renormalization Group
- A bulk-interface correspondence for equatorial waves
- Magnetohydrodynamics in graphene: shear and Hall viscosities
- Stokes paradox in electronic Fermi liquids
- Odd surface waves in two-dimensional incompressible fluids
- Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
- Non-reciprocal response of a two-dimensional fluid with odd viscosity
- Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
- Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
- Lift force in odd compressible fluids
- Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity
- Free surface variational principle for an incompressible fluid with odd viscosity
- Hydrodynamics of an odd active surfer in a chiral fluid
- Dissipative effects in odd viscous Stokes flow around a single sphere
- Pair dynamics of active force dipoles in an odd-viscous fluid