曲がった狭い流路内での微粒子の定常運動について

概要

論文の詳細を見る
The steady motion of a small particle is studied theoretically in a narrow curved channel with a constant width, using curvilinear coordinates to easily take the effect of the curved channel into account, and assuming that the fluid-particle interaction is described only by the Stokes drag law. The approximate solutions of the equations governing the fluid and the particle are found in the form of power series on the ratio of the width of the channel to the radius of curvature. In general, the effect of the inertia force of the flow on the motion of the particle is found to be less important compared with that of the viscous force. In the case of the sinusoidally curved channel, the particle trajectories are governed by four parameters, the width ratio, the Reynolds number, the Stokes number and the period of curvature. When the centerline of the channel is curved in the cosine form, the deviation of the trajectory from the centerline is expressed in the sine form. The amplitude and the phase difference of its deviation are found in the form of a function of the four parameters. They are analytically compared with those of the stream line.
一般社団法人日本機械学会の論文
1989-12-25