We have developed a continuous theory for grinding of solids in batch and c
ontinuous mills which includes only a few parameters, the values of which c
an be obtained directly from data on a laboratory scale batch mill. This al
lows an easy scale-up from a laboratory-scale batch mill to an industrial c
ontinuous mill. Furthermore, the analysis presented indicates that a charac
teristic material parameter, the "critical volume", plays an important role
on the grinding process in general, and it is the only parameter which is
affected by the additives. The performance of industrial mills is due to th
e influence that additives may have on the value of the critical volume. (C
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