粒体, 粉体等の混合度および混合過程の研究

抄録

Assuming that in an incorporation of insufficient mixing there exist groups of mean size z, consisting of the mixing ingredient, and that the group is a mixing unit in the incorporation, it has been indicated that the incorporation under consideration can be treated mathematically as a perfect mix. An equation to determine the mean size, z of the groups from a value of variance S² of a imperfect mix has been derived and a degree of mixing, μ has also been defined through z as follows,
μ=1/z=pq/S²R,
where R is a sample size to be taken from the mix, and p and q are mixing ratios of ingredients. Furthermore, another equation to express a relation between variance S² of the mix and mixing time, has also been derived through z, on an assumption that the value of z varies in the mixing procedure, in a way of unimolecular reaction,
S²-σ²=(S₀²-σ²)exp(-ct)
where, σ² is the variance of the perfect mix, S₀² an initial value of S², and C a constant. The above equation has validity to some experimental data concerning mixing procedure of solid particles and morever may be applicable to other kind of mixing procedures such as homogenizing process in glass-melting.