Derivation and verification of the theoretical formula of ball diameter of SAG mill based on ore fracture energy
In order to reduce the accumulation of pebbles in SAG mill,the theoretical formula of ball diameter for SAG was derived based on the Davis ball motion theory,and the crushing effect and energy utilization rate of steel balls on ore were simulated and analyzed by the dis-crete element method(DEM)simulation tests and Tavares breakage model,simultaneously the accuracy of the formula was verified by batch grinding tests.The results show that com-pared with the 120 mm steel ball on site,the yields of the coarse fraction(+100 mm)and pebbles are decreased by 1.95％and 1.70％,respectively,while the yield of the fine fraction is increased by 3.06％,and the energy utilization rate is increased by 1.77％,besides the effec-tive cumulative impact power of the steel balls on the pebbles is increased by 70.54％.The re-sults of the batch grindings tests show that the yields of coarse fraction and pebbles in the ground product are decreased by 17.02％and 57.38％,respectively,and the yield of-0.074 mm is increased by 17.72％.The accuracy of the theoretical formula of ball diameter of the SAG mill is verified by numerical simulation and grinding tests,which can indeed reduce the accumulation of pebbles and optimize the grinding effect.
sphere diameter theory formulaSAGfracture energy of orepebblebreakage model
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