Modelling Pinched Sluice Type Concentrators

An attempt has been made to explain the behavior of a pinched sluice in terms of the established theories of fluid mechanics and mineral processing. A method has been developed to calculate the underflow discharge by assuming a logarithmic velocity distribution and free gravity fall through the discharge slot. The concentration profile of solids over the depth of flow has been shown to comply with Bagnold's theory of dispersive shear, rather than turbulent sediment transfer. Even although the results can be explained qualitatively by the Bagnold theory, their complete quantitative analysis will not be possible until more work is done. Consequently, an empirical equation has been developed to predict underflow pulp densities. It has been shown that the process of the segregation of the heavier mineral beneath the lighter can be described by a first order law. From the results obtained, a computer model of the pinched sluice has been developed. This predicts the underflow grade, pulp density and flow rate in terms of the feed and operating conditions. The model can also be used to determine the effect of a change in operating conditions, and for the optimization of rougher, cleaner, and scavenger circuits.