角柱群をすぎる粘性流中での粒子の運動

概要

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Motion of small particles in a viscous flow past many square cylinders spaced regularly is investigated theoretically. In a steady flow past regularly spaced cylinders found by numerically solving the Navier-Stokes equations, trajectories of small particles are numerically found under the assumption that particles are subjected to Stokes' drag force and the viscous flow is unchanged by the presence of small particles. As a result, a critical condition that particles always collide with the square cylinder spaced regularly is found as a function of the mass ratio, the Reynolds number and the situation of cylinders. When the particles do not collide with the cylinders, trajectories of particles which are started with arbitrary positions and arbitrary velocities are found to tend to only one particular trajectory in the course of a sufficiently long time. These theoretical results are confirmed qualitatively by an experiment undertaken in a slow flow of water.
一般社団法人日本機械学会の論文
1986-04-25