### Mechanistic modeling and simulation of grinding iron ore

The batch grinding process equation of a mill described as a perfectly mixed is given by : (2) d w i dt = 1 M ∑ k = 1 n ω k − w i ∫ 0 ∞ m i, k ∗ E p k E ∫ 0 1 1 − b ij eE F i eE t p i, k e dedE + ∑ j = 1 i − 1 w j ∫ 0 ∞ m j, k ∗ E p k E ∫ 0 1 b ij eE F j eE t p i, k e dedE − D i, s, k + A i, s, k (2) where M is the ore load, also called mill hold-up, w i is the mass fraction of particles contained in size class i in the mill at time t, ω is the

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