Fundamental Investigation of Grinding Energy and Specific Surface Produced in Vibration of Ball Milling

Abstract

The relationship between the solid surface produced and the required energy in the vibration of ball milling has been obtained by direct measurement of the torque value of the mill shaft. There the real Rittinger number, ηr0' and the differential Rittinger number ηr(=ds/dE) are defined, and the relationship between them is found experimentally as follows.ηr0-ηr=aSnwAnd it is proved that this equation, which is for the first time proposed in this report as a fundamental equation of size reduction, includes Rittinger's equation and also Tanaka's equation.Though the values of ηr0 are affected by several grinding conditions, they have close connection with Bond's work index, Wi. The values of n have not been precisely obtained in this experiment, but they are known to come in the range of 1-3.The boundary of the region is also showed, in which the above mentioned relation can be found, and out of this boundary, the S-shaped grinding curves have been observed as Rose has pointed out in the vibration of the milling.