Hydrodynamic slip significantly alters chaotic advection and scattering of small particles

Abstract

We present a computational study of the effect of hydrodynamic slip at the surface of a particle on the statistical behavior of an ensemble of spherical particles in a two-dimensional von Karman flow in the wake of a cylinder. We predict that slip can lead to significant differences in escape rates, more initial positions that lead to vortex trapping at long times, and a greater uncertainty in scattering predictions. Thus, our work highlights that hydrodynamic slip significantly affects particle trajectories in unsteady flows.