1969 年 85 巻 975 号 p. 503-508
Comminution kinetics is sometimes treated by the integro-clifferential equation which is derived from the method of the mass balance. The treatment consists of characterizing the grinding process in terms of selection and breakage functions.
The selection function is defined as the function by weight of the particles of a given size x, which are broken per unit length of grinding.
It is investigated in this study that this selection function varies with the grinding time, though it has been usually assumed to be independent of the grinding time.
By using the ideas of chemical reaction of the first order, selection function at each time of grind is calculated from the experimental data in the presence of all other sizes.
As the results of the computer simulation it has been found that we can assimilate the grinding process more precisely by taking size distribution in a mill into selection function, that is, the probability of a particle being broken is influenced not only by the particle size but also by the amount of weight retained.
Comminution kinetics is also represented by the equations which treat the grinding rate of cumulative weight larger (or finer) as a function of cumulative weight. The authors have also studied the relationship between this kind of equations and the integro-differential equation.