Diffusioosmotic corner flows
arXiv:2508.18233 · doi:10.1017/jfm.2025.11079
Abstract
We study flows generated within a two-dimensional corner by the chemical activity of the confining boundaries. Catalytic reactions at the surfaces induce diffusioosmotic motion of the viscous fluid throughout the domain. The presence of chemically active sectors can give rise to steady eddies reminiscent of classical Moffatt vortices, which are mechanically induced in similar confined geometries. In our approach, an exact analytical solution of the diffusion problem in a wedge geometry is derived and coupled to the diffusioosmotic slip-velocity formulation, yielding the stream function of associated Stokes flow. In selected limiting cases, simple closed-form expressions provide clear physical insight into the underlying mechanisms. Our results open new perspectives for the design of microscale mixing strategies in dead-end pores and cornered microfluidic channels, and offer benchmarks for numerical simulations of confined (diffusio)osmotic systems.
18 pages, 8 figures
References in corpus (19)
- Active Particles in Complex and Crowded Environments
- Designing phoretic micro- and nano-swimmers
- Phoretic self-propulsion at finite Péclet numbers
- Colloidal motility and pattern formation under rectified diffusiophoresis
- Generic theory of colloidal transport
- Dynamics and efficiency of a self-propelled, diffusiophoretic swimmer
- Autophoretic locomotion from geometric asymmetry
- Autophoretic motion in three dimensions
- Geometric pumping in autophoretic channels
- Advection and diffusion in a chemically induced compressible flow
- Diffusiophoresis, Batchelor scale and effective Péclet numbers
- Pumping and mixing in active pores
- Universal optimal geometry of minimal phoretic pumps
- Phoresis in cellular flows: from enhanced dispersion to blockage
- Phoretic flow induced by asymmetric confinement
- Elastic displacements and viscous flows in wedge-shaped geometries with a straight edge: Green's functions for perpendicular forces
- Moffatt eddies in electrohydrodynamic flows: numerical simulations and analyses
- Hydrodynamic Stokes flow induced by a chemically active patch imprinted on a planar wall
- Turning catalytically active pores into active pumps