An Experimental And Computational Methodology For Estimation Of Breakage Rate And Distribution Parameters For Batch Ball Milling Operation

Several approaches to the estimation of the size discrete breakage rate and distribution parameters (kj and bi,j ) of the batch grinding kinetic model are available in the literature. Analysis of a large amount of data available in the literature and our own data on several pure minerals and complex ores has shown that it is not always possible to obtain correct estimates of the two sets of parameters using known approaches as several widely different combinations of k and b parameters can sometimes simulate the batch grinding data reasonably accurately. It has been found that there are two main reasons: (i) all size classes are not well represented in the data and (ii) functional forms used for estimation of the two sets of parameters are sometimes chosen somewhat arbitrarily (especially in the case of complex ores), though they are actually uniquely related through size continuous breakage rate and distribution functions. A suitable experimental methodology has been described and demonstrated using some synthetic data and actual experimental data. A mill function approach, which does not require making any assumptions about the functional forms for k and b parameters, is also described and demonstrated. This approach is promising, but requires further development.