Mathematical model and numerical simulation of the settling of flocculated suspensions

Bürger, Raimund; Concha, F.

doi:10.1016/s0301-9322(98)00026-3

Cited by 103 publications

(58 citation statements)

References 12 publications

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“…Consider the settling of a flocculated suspension under the idealizing assumptions stated in [4,7]. Here, we may neglect the effect of viscosity, as justified in a one-dimensional framework [9][10][11], and the advective acceleration terms, since the Froude number of the systems considered here is small (see [4]).…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…2 and 3) but for which the pressure measurements are available for one single time only (Fig. 4 in [30]), has already been simulated by Bürger et al [5,7].…”

Section: Comparison With X-ray Concentration and Excess Pore Pressurementioning

confidence: 99%

“…The two steady states considered here and the operating conditions assumed in our example are given in Tables 2 and 3; for details on steady states refer to [5,7,18].…”

Section: Application To Continuous Sedimentationmentioning

confidence: 99%

“…The authors have published several studies of simulated hypothetical behavior of flocculated suspensions in batch or continuous ideal thickeners [5][6][7]. It is the purpose of this paper to employ published experimental concentration, excess pore pressure and effective solid stress data to determine the functions f bk (φ) and σ e (φ) for each experimental case, and to use this information to simulate the respective experiment.…”

Section: Introductionmentioning

confidence: 99%

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Applications of the phenomenological theory to several published experimental cases of sedimentation processes

Bürger

Concha

Tiller

2000

Chemical Engineering Journal

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In one space dimension, the phenomenological theory of sedimentation predicts 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 effective stress. These functions are assumed to depend only on the local volumetric solids concentration. In this contribution, we review several experimental 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 data. The two constitutive functions involved are determined from the published concentration, permeability and effective stress data. The mathematical model is then solved numerically using these functions, and the resulting predictions of settling behavior are compared with the respective authors' experimental findings and interpretations. In one case, the information obtained from a batch settling experiment is used to simulate continuous sedimentation.

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Section: The Mathematical Modelmentioning

confidence: 99%

“…2 and 3) but for which the pressure measurements are available for one single time only (Fig. 4 in [30]), has already been simulated by Bürger et al [5,7].…”

Section: Comparison With X-ray Concentration and Excess Pore Pressurementioning

confidence: 99%

“…The two steady states considered here and the operating conditions assumed in our example are given in Tables 2 and 3; for details on steady states refer to [5,7,18].…”

Section: Application To Continuous Sedimentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Applications of the phenomenological theory to several published experimental cases of sedimentation processes

Bürger

Concha

Tiller

2000

Chemical Engineering Journal

Self Cite

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“…</> 0 = 0.111 and uj = 146.4 rad/s; (j> 0 = 0.138 and w = 146.4 rad/s; 4> 0 = 0.138 and u = 104.9 rad/s, were chosen in such a way that the simulated supernate-suspension interfaces could be compared with measurements by Sambuichi et al [19], which are shown as open circles (o). While in the compression zone, where <j > > (j) c is valid and hence (16) is parabolic, the solutions are similar to those of the pure gravity case [2,5], there are some distinctive features visible in the hindered settling zone (</> < 4> c ) where (16) is hyperbolic, due to the rotating frame of reference. Most notably, the vertical iso-concentration lines indicate that the concentration of the bulk suspension is a (decreasing) function of time, and the supernatesuspension interface has a curved trajectory.…”

Section: Numerical Algorithmmentioning

confidence: 61%