Optimizing power consumption in grinding, the most consumed stage in the mining industry, plays an influential role in reducing operating costs. Obtaining an efficient model to predict tumbling mills' power consumption accurately took the attention of researchers, mineral processing engineers, and tumbling mill manufacturers. This article comprehensively reviews the published mill power models and the most critical studies on this topic since 1919. Furthermore, the employed approaches for modelling the tumbling mills' power draw, the incorporated parameters into the developed models, the models' performances in predicting the industrial mills' power draw, and the potential gaps in the available literature are discussed. Moreover, based on the shortages identified in this review, some recommendations have been made to enhance the modelling mill power draw.
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