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The non-first order breakage was most probably caused by the heterogeneity of the material.
This analysis is valid for binary or higher order breakage and any combination thereof.
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.
Similar(57)
They exhibit a dependency on the original droplet size and the daughter droplets sizes, and reflect the difference between binary and higher order breakages.
The model is based on first-order breakage and compensation conditions.
It was found that three size-intervals fitted the first-order breakage, but the coarsest interval did not.
The adherence to first-order breakage kinetics was attributed to the low feed loading in the mill and the absence of particle beds where mechanical multi-particle interactions can cause non-first-order breakage.
The proposed theory recovers the first-order breakage kinetics in the limit, yet it is sufficiently general to explain all experimentally observed deviations.
Thus, the model is prepared to simulate the effect of preferential breakage of the weaker particles in a narrow size interval and the resulting non-first-order breakage.
First-order breakage rates have been estimated using data from these simulations, and used to investigate the effect of operating and design variables in milling.
In this paper, we formulate a non-linear population balance framework to explain the non-first-order breakage rates that originate from multi-particle interactions.
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