Recently the authors proposed the following experimental formula expressing the rate constant of degradation of under-size particles, Kx, during ball mill grinding.
Kx=C1x/xfHV-0.47Wx-1.5
where xf is the feed size, x, the sieve size and Wx, the feed weight.
On the other hand, Work Index Wi proposed by Bond is inversely proportional to the ball mill grindability Gb·p0.82, and Gb·p is proportional to Kx·Wx.
From the above results, it was found that Work Index Wi can be expressed by the dimensionless Vickers hardness HV and density ρ of the material.
Wi=C5·(x/xf)-0.32HV0.39·ρ0.41