Abstract
The discharge of fine powder, e.g. coffee, sugar, flour, dried milk, from a slowly rotating slitted drum is analyzed using simplified Navier-Stokes differential equations for continuum fluid flow. The following equation is derived for the rate of powder discharge from the drum: dm|dt= − K( pm 1 a ) 0·5 where K is a rate constant related to the particle cohesion but independent of powder density, m 1 is the mass of powder remaining in the rotating drum, and α is a function of the poured density of the powder, ϱ. The equation allows the cohesion and density contributions to powder flowability to be assessed independently and provides a theoretical basis for the flowability test. The predictions made using the above rate equation are consistent with experimental data for a range of food powders.
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