The population balance model incorporates seven model
parameters in the Austin et al. (1984) approach, which are back
calculated or fitted from the experimental data of mill feed and
product size distributions. In the specific rate of breakage function
(Eq. (2)), two parameters (a and K) are assumed to be dependent
on the material, and the other two (k0 and l) are dependent on
the operating conditions. However, since the seven model parameters
are simultaneously fitted to the mill feed and product data,
the fitted (or back-calculated) parameters are interrelated, and it
is difficult to decouple the machine-dependent and materialdependent
effects. This limits the ability to do simulations of mill
response to the variation in mill feed properties. Other researchers
have criticised the fact that the traditional population balance
model has no intrinsic capabilities to allow for simulating theprocess under conditions that are different from those that were used to fit its parameters (Carvalho and Tavares, 2013).
The population balance model incorporates seven modelparameters in the Austin et al. (1984) approach, which are backcalculated or fitted from the experimental data of mill feed andproduct size distributions. In the specific rate of breakage function(Eq. (2)), two parameters (a and K) are assumed to be dependenton the material, and the other two (k0 and l) are dependent onthe operating conditions. However, since the seven model parametersare simultaneously fitted to the mill feed and product data,the fitted (or back-calculated) parameters are interrelated, and itis difficult to decouple the machine-dependent and materialdependenteffects. This limits the ability to do simulations of millresponse to the variation in mill feed properties. Other researchershave criticised the fact that the traditional population balancemodel has no intrinsic capabilities to allow for simulating theprocess under conditions that are different from those that were used to fit its parameters (Carvalho and Tavares, 2013).
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