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General gamma representation
for product particle split in gravity concentrators
This paper attempts the well-known regularized gamma distribution function
to represent the separation efficiency of particle segregation in gravity
concentrators. The model has four parameters that are evaluated by a least
square fit between the model estimate and the measured data. The model takes
into account the bivariate effects of particle size and particle density to
define the size-density separation efficiency, typically recognized as the
partition surface. The model derivation is rooted in the observed pivot
phenomenon associated with size-based partition curves of the separators.
Although, the mathematical representation is empirical in nature, it is
generic and is applicable to various gravity units notwithstanding
differences in equipment design and particle flow profiles in the gravity
units. The suitability of the representation is examined using several sets
of measured data from literature. Convenient functional forms for computing
the size dependent separation indices namely cut density and Ecart probable
using the model parameters have been proposed. |
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