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Herbst et al. proposed a procedure for ball mill scale-up. It is based on linear relationship between selection function S (1/min) and specific power P/H
S= SE×(P/H)
Question 1:
"H is the mass of the charge in the mill excluding the media"
Does H represent mass of solid particles or mass of slurry?
Question 2:
I find 3 definitions of the net power P
1. "P is the net power drawn by the mill exclusive of the no-load power that is required to overcome mechanical and frictional losses in the mill" (R. P. King) . For convinience, name it as P1.
2. P=Pball where Pballs represents the contribution of the balls to the Net Mill Power Draw (Moly Cop Tools). Name it as P2, and P2=P1×Mball/(Mball+Mslurry).
3. P is the net power drawn by mill exclusive of the no-media power. Name it as P3. P3=power drawn by mill with media and slurry - power drawn by mill with only slurry.
Which one is appropriate for the scale-up procedure?