International Sugar Journal

Modelling juice flow in a shredded cane bed* [Full subscriber]

Abstract A diffuser is essentially a porous bed of shredded sugarcane through which juice flows. Theory based on the equations attributed to Darcy for saturated flow and Richards for unsaturated flow predicts that the velocity of the flow through the bed depends on the distribution of the permeability in the bed. At steady state, a pressure profile is established within the bed so that the friction pressure loss exactly matches the gravitational pressure head. If the permeability in the bed is uniform then the theory predicts that the static pressure in the bed will be constant throughout the bed and…

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