Minerals Beneficiation - Grindability Measurements and the Determination of Energy-Size Parameters

Several correlations have been proposed to relate energy consumption and size reduction in comminution, and although these are arrived at from different starting points, it is postulated that they are all statements of the same basic concept. To test this postulate, the dry ball mill grindability of langbeinite was determined, and the results were analyzed according to the various methods. An examination ' of the energy-particle size relationships proposed in the recent past revealed that they had much in common. In fact, the conclusion was tentatively drawn that these expressions were essentially the same, even though they were arrived at from quite different basic premises. The equations attributed to Charles2 and Holmes3 were shown to re- duce to the same single equation, W - A K-3, and the simulated continuous test used by Maxson et al.4 was shown to give the best experimental value of the required empirical parameter, ß. Furthermore, the size distribution parameter a in the Schuhmann equation, y - (x/K)2, was shown to be equal to ß in many cases. The kinetic approach used by Arbiter and Bhrany5 should give the same results as the Maxson test procedure; however, the batch operation used by Arbiter and Bhrany could not produce data that would be as precise as the simulated continuous technique. To test the validity of these conclusions, the simulated continuous method was used to obtain data on the dry grinding of langbeinite. The results are discussed in terms of the various equations and approaches. APPARATUS AND MATERIAL A ball mill with internal dimensions of 17.5 cm (6 7/8 in.) in length by 19.4 cm (7 5/8 in.) in diam was loaded to 50% of its volume with balls 3.2 cm in