Stationary Ballistic 'V' States for Preferred Motions of Many Particles

Abstract

We use the discrete kinetic theory with the free-orientation parameter being fixed ($\pi /4$) to derive the macroscopic velocity field for many particles flowing through a microdomain. Our results resemble qualitatively other hydrodynamical solutions. The V-shaped velocity field changes as the dominant physical parameter (Knudsen number) varies. We also briefly discuss the possible mechanism due to the entropy production along the boundaries.

1999-Works; two figures