R. Burger et al., Applications of the phenomenological theory to several published experimental cases of sedimentation processes, CHEM ENGN J, 80(1-3), 2000, pp. 105-117
In one space dimension, the phenomenological theory of sedimentation predic
ts the sedimentation-consolidation behavior of a flocculated suspension in
dependence of two constitutive functions describing its material behavior,
the solids flux density (or hindered settling function) and the solid effec
tive stress. These functions are assumed to depend only on the local volume
tric solids concentration. In this contribution, we review several experime
ntal and theoretical studies of sedimentation in settling columns. We first
resume the theories that have been employed to interpret the experimental
measurements and then apply the phenomenological model to the available dat
a. The two constitutive functions involved are determined from the publishe
d concentration, permeability and effective stress data. The mathematical m
odel is then solved numerically using these functions, and the resulting pr
edictions of settling behavior are compared with the respective authors' ex
perimental findings and interpretations. In one case, the information obtai
ned from a batch settling experiment is used to simulate continuous sedimen
tation. (C) 2000 Elsevier Science B.V. All rights reserved.