干渉沈降領域における懸濁粒子の沈降挙動 (第1報)

抄録

This is the first of a series of papers dealing with the solid-liquid sedimentation phenomena in the hindered settling range.
While the effect of the concentration on the settling rate of fine particles in suspension have been investigated by Steinour, Richardson and Zaki, and so on, the present authors intend to resolve some of the questions stimulated by these previous works.
As an initial step to develop a more complete understanding of the hindered settling behavior in concentrated suspensions of the fine particles, some experimental results are presented for closely sized particles under the condition of laminar flow.
Closely sized olivine suspensions with various initial solids concentrations were made to settle in the sedimentation density measurement apparatus, fitted with aγ-ray densimeter and a lifting device.
And then, from the density curves which were obtained in the way described above, it could be calculated the apparent Stokes diameter x, as well as the cumulative distributionΦ(x) and distribution density function f (x), by the following equations:
x=18η/(ρ_s-ρ_lg·h/t)^1/2…(1)
Φ(x)=C/C₀=∫₀^xf(x)dx…(2)
f(x)=-(2t/x)·dΦ(x)/dt…(3)
Authors obtained the relations between the characteristic values of the distributions and the solids concentrations to be interpreted in terms of the hindered settling behavior of particles.
Authors also attempted to approximate the apparent distribution curves using these characteristic values.