Premium
Evaluation of instability criterion for bidisperse sedimentation
Author(s) -
Biesheuvel P. Maarten,
Verweij Henk,
Breedveld Victor
Publication year - 2001
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690470107
Subject(s) - instability , sedimentation , particle (ecology) , stability criterion , particle size , dispersity , momentum (technical analysis) , stability (learning theory) , thermodynamics , mechanics , chemistry , physics , mathematics , statistics , geology , polymer chemistry , paleontology , oceanography , discrete time and continuous time , finance , machine learning , sediment , computer science , economics
The instability criterion for bidisperse sedimentation derived by Batchelor and Janse van Rensburg was combined with two empirical models for the particle velocities that are consistent with conservation of momentum and used to construct theoretical stability diagrams. The stability boundaries were fully determined by the particle volume fractions, the particle‐size ratio, and the ratio of the density differences with the liquid. The results showed that on increasing the particle‐size ratio sufficiently, stability, always is attained. For particles of similar size, instabilities occur mainly if the liquid density is intermediate between the particle densities. The stability diagrams agree well with the limited experimental data, if so‐called “vertical columns” are excluded. This seems reasonable since similar structures observed in monodisperse suspensions are not captured by the bidisperse instability criterion either.