Wet grindability of an industrial ore and its breakage parameters estimation using population balances

Abstract The grindability of a diasporic ore was studied by wet grinding in a laboratory ball mill and its breakage parameters were determined based on the population balance model (PBM). Four different feeds with unnatural size distributions were designed to save grinding and sieving work. It was found that three size-intervals fitted the first-order breakage, but the coarsest interval did not. The non-first order breakage was most probably caused by the heterogeneity of the material. The heterogeneity was then confirmed by experiments. The breakage rate and the breakage distribution parameters were back calculated by treating the non-first order breakage as two linear segments according to the grinding time. The back-calculated breakage rates were in good agreement with the values calculated directly from the experimental data, and non-normalizable breakage distribution was observed. The model with the obtained parameters simulated the experimental product size distributions with good accuracy. These findings are valuable to the simulation and optimization of the industrial grinding processes of diasporic ores.

[1]  Juan M. Menéndez-Aguado,et al.  Grindability of lateritic nickel ores in Cuba , 2008 .

[2]  Benjamin Epstein,et al.  Logarithmico-Normal Distribution in Breakage of Solids , 1948 .

[3]  S. Morrell,et al.  Using modelling and simulation for the design of full scale ball mill circuits , 1997 .

[4]  Chris Aldrich,et al.  Neurocontrol of a ball mill grinding circuit using evolutionary reinforcement learning , 2001 .

[5]  D. M. Weedon A perfect mixing matrix model for ball mills , 2001 .

[6]  M. Yekeler,et al.  Kinetics of fine wet grinding of zeolite in a steel ball mill in comparison to dry grinding , 2009 .

[7]  A. Farzanegan,et al.  Spreadsheet-based simulation of closed ball milling circuits , 2006 .

[8]  M. Yekeler,et al.  Dry grinding kinetics of binary mixtures of ceramic raw materials by Bond milling , 2005 .

[9]  Leonard G. Austin,et al.  The back-calculation of specific rates of breakage and non-normalized breakage distribution parameters from batch grinding data , 1977 .

[10]  Parichay K. Das Use of cumulative size distribution to back-calculate the breakage parameters in batch grinding , 2001 .

[11]  Leonard G. Austin,et al.  Simulation of wet ball milling of iron ore at Carajas, Brazil , 2007 .

[12]  K. J. Reid A solution to the batch grinding equation , 1965 .

[13]  B. Epstein The mathematical description of certain breakage mechanisms leading to the logarithmico-normal distribution , 1947 .

[14]  Leonard G. Austin,et al.  Kinetics of fine wet grinding in a laboratory ball mill , 2001 .

[15]  Marappagounder Ramasamy,et al.  Control of ball mill grinding circuit using model predictive control scheme , 2005 .