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Herein, an innovative approach for determining the grinding media system of ball mill based on grinding kinetics and linear superposition principle was proposed. The optimal media ball size of −2 + 0.45 mm, −0.45 + 0.15 mm, and − 0.15 mm feeding samples were 40 mm, 30 mm, and 30 mm, respectively. According to the linear superposition principle, the media size ratio is equal to the yield of ores. The optimal media proportion was φ 50 mm: φ 40 mm: φ 30 mm = 28%: 28%: 44% via wet grinding experiment, in which the yield of qualified granular material (−0.074 + 0.03 mm) suitable for beneficiation was the largest in the ground products. The optimized space-filling factor and material media ratio was 35% and 1.0 through the wet grinding experiment. According to the energy consumption method, the mathematical function models of installed power and mill productivity vs. space-filling factors were established to calculate the installed power and productivity of an industrial ball mill (Φ5.03 m × 6.40 m)
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