Particle flows around an intruder

Abstract

Particle flows injected as beams and scattered by an intruder are numerically studied. We find a crossover of the drag force from Epstein's law to Newton's law, depending on the ratio of the speed to the thermal speed. These laws can be reproduced by a simple analysis of a collision model between the intruder and particle flows. The crossover from Epstein's law to Stokes' law is also found for the low-speed regime as the time evolution of the drag force caused by beam particles. We also show the existence of turbulentlike behavior of the particle flows behind the intruder with the aid of the second invariant of the velocity gradient tensor and the relative mean-square displacement for the high-speed regime and a large intruder.

Drag of a cylindrical object in a two-dimensional granular environment

“…Let us describe the second term F dyn (V) in Eq. (2) by a simple collision model [6,11,12]. We consider the coordinate that the object is set at the origin.…”