A Hydrodynamical Model for the Sedimentation

抄録

The flow of a viscous fluid past a sphere in a frictionless circular pipe is investigated by using Faxén’s procedure and the results are applied to the problem of sedimentation. Thus we obtained a formula for the sedimentation velocity V in the form: V⁄V₀=1–1.6493(d_v⁄M³)^1⁄3+0.7968(d_v⁄M³), where V₀ is the terminal velocity of a particle, d_v the volume concentration and M a constant of order unity which depends on the distribution of sedimenting particles. Although our model is rather rough, it gives as good results as those given by other theories.