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Mechanics of column beds: II. Modeling of coupled stress‐strain‐flow behavior
Author(s) -
Yew Bee Gaik,
Ureta Jorge,
Shalliker R. Andrew,
Drumm Eric C.,
Guiochon Georges
Publication year - 2003
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.690490310
Subject(s) - consolidation (business) , rheology , materials science , mechanics , atomic packing factor , void ratio , nonlinear system , granular material , porosity , permeability (electromagnetism) , geotechnical engineering , packed bed , composite material , geology , chemistry , chromatography , membrane , physics , biochemistry , accounting , quantum mechanics , business , crystallography
The rheological behavior of a bed of packing material during its consolidation was investigated using an elastic‐plastic model, the Frictional Material Model. This model takes into account the behavior of the packing material under compression stress, its consolidation, its internal friction, its friction against the column wall, and the dependence of the bed's permeability on the local void fraction. The complexity of the problem arises from the nonlinear behavior of the relationships between the critical parameters controlling the column bed behavior and the external stresses applied to this bed. Solutions of the model were calculated for combinations of axial compression and seepage stresses, the latter corresponding to the flow of the mobile‐phase stream under typical conditions used in HPLC. The results demonstrate the importance of the internal angle of friction of the packing material used on the degree of radial and axial heterogeneity of the beds of chromatographic columns packed with this material.