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

Abstract

We use the discrete kinetic theory with the free-orientation parameter being fixed (π/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.

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