2017/05/17 by Harishankar Manikantan, Todd M. Squires · 9 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Geometry #Granular flow and fluidized beds #Lorentz transformation #Materials science #Mathematics #Mechanics #Monolayer #Nanotechnology #Particle (ecology) #Particle Dynamics in Fluid Flows #Physics #Pickering emulsions and particle stabilization #Reynolds number #Surface (topology) #Surface pressure #Thermodynamics #Turbulence #Viscosity #cond-mat.soft #physics.flu-dyn
paper · pdf · doi:10.1098/rspa.2017.0346
published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences 473(2205), 20170346 (Royal Society)
arxiv created 2017/05/17 · openalex publication_date 2017/09/01 · arxiv updated 2017/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The surface shear viscosity of an insoluble surfactant monolayer often depends strongly on its surface pressure. Here, we show that a particle moving within a bounded monolayer breaks the kinematic reversibility of low-Reynolds-number flows. The Lorentz reciprocal theorem allows such irreversibilities to be computed without solving the full nonlinear equations, giving the leading-order contribution of surface pressure-dependent surface viscosity. In particular, we show that a disc translating or rotating near an interfacial boundary experiences a force in the direction perpendicular to that boundary. In unbounded monolayers, coupled modes of motion can also lead to non-intuitive trajectories, which we illustrate using an interfacial analogue of the Magnus effect. This perturbative approach can be extended to more complex geometries, and to two-dimensional suspensions more generally.