FLOW OF A SUSPENSION THROUGH A VERTICAL TUBE

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Abstract
Jiang el at. (1986) have developed the local volume averages of the equations of motion as well as the appropriate boundary conditions for a flowing suspension of non-neutrally buoyant, uniform spheres in an incompressible Newtonian fluid under conditions such that inertial effects can be neglected. Neither the equations nor the boundary conditions involve any free or undetermined parameters. These local volume-averaged equations of motion have been solved for flow through a vertical tube and the results compared with available measurements of velocity profiles and of apparent viscosities. The predictions of measured apparent viscosities are in error by no more than 3%, when the volume fraction of solids is less than 0.20. The errors in representing the velocity profiles are comparable, but based upon fewer data.