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Analytical solution to an axial dispersion model for the fixed‐bed adsorber
Author(s) -
Liao HsinTzu,
Shiau ChingYeh
Publication year - 2000
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.690460609
Subject(s) - péclet number , activated carbon , mass transfer , amberlite , dispersion (optics) , adsorption , chemistry , chromatography , mechanics , thermodynamics , materials science , mathematics , physics , optics , organic chemistry
An axial dispersion model for the operation of a fixed‐bed adsorber with a linear adsorption isotherm was formulated and solved analytically using the separation of variables method. The asymptotic solution for a large Peclet number and/or a small operation time was also obtained using two limiting cases. The results can be used to correlate or to predict both the mass‐transfer zones and the breakthrough curves of a fixed‐bed adsorber. Influence of both the Peclet number and the retardation coefficient on the operation of a fixed‐bed adsorber was also studied. As an example, the axial dispersion model was applied to the experimental data of the removal of phenol from the solution in the activated carbon and the Amberlite resin XAD‐4 fixed‐bed adsorbers.