周期的に曲がった流路内を定常的に通過する微粒子の軌道について

概要

論文の詳細を見る
The steady motion of a small particle passing through a sinusoidally curved channel with a constant width is numerically studied. The equations governing the fluid and the particle formulated in the curvilinear coordinates are solved by using the finite difference method. The fluid-particle interaction is assumed to be described by the Stokes drag law. The trajectory of a small sphere with a given radius and weight steadily passing through the channel is found to be only one type by means of rewriting the inertia term in the equation of particle motion in the form of the spatial derivative. The numerical solution of the equation of motion in this form has much less computational error compared with that based on the traditional method treating this problem as an initial value problem. The effects of the four parameters, the Reynolds number, the aspect ratio, the Stokes number and the wave number of the wavy channel on the steady trajectory of the particle are treated in detail. It is found that the solution obtained numerically coincides with that had obtained analytically by the authors. The difference in the motion between the particle and the fluid is clarified by comparing the trajectories of the particle and the stream line with the value of the half flow rate.
一般社団法人日本機械学会の論文
1990-08-25