1961 年 77 巻 876 号 p. 389-393
Samples of lime stone were ground in a laboratory ball mill to evaluate the energy-size reduction relationships.
Both Gauding-Schuhmann and Rosin-Rammler functions are applicable to the size distributions of the grinding products in the fine sizes.
When G-S function is used, the equation suggested by Charles may be applied.
E=A [K1-n-α-n+1/αx01-n]
where E is the grinding time, xo is the initial size, K and a are respectively the size modulus and distribution factor in G-S function, and A and n are constants.
In the case where R-R function is used, the relation becomes such as the equation suggested one of the authors.
E=A1 [b1-n-x01-n/T (a-n+1/a)]
where b and a are respectively the absolute size constant and dispersion constant in R-R function.
Above equations are also deduced in more simple forms by considering the rates of production of the various size fractions in ball milling.