Stochastic interactions of rough particles in viscous shear flow

摘要

Particle interactions in highly-viscous nonlinear and linear shear flows play an important role in a variety of applications, including composite materials processing, microfluidics, chromatography, and particle resuspension, to name a few. Binary interactions between particles can provide information used in rheological models for suspension flows such as migration rates and self-diffusivity. In past numerical studies, particle roughness has been treated, for the most part, as a constant, static quantity. In the current study, roughness is treated as a stochastic parameter. Hence, quantities such as dispersion, net particle migration, and self-diffusivity also become stochastic parameters. Numerical simulations are performed using a semi-analytic solution for the motion of two particles in an unbounded flow field to determine the effects of random particle roughness.