Modelling large mass removal in adsorption columns
Abstract
A mathematical model is developed to describe column adsorption when the contaminant constitutes a significant amount of the fluid. This requires modelling the variation of pressure and velocity, in addition to the usual advectiondiffusionadsorption and kinetic equations describing concentration and adsorption rates. The model builds on previous work based on a linear kinetic equation, to include both physical and chemical adsorption. A semianalytical solution is developed and validated against a numerical solution. The model is tested against experimental data for the adsorption of large quantities of CO$_2$ from a helium mixture, with a CO$_2$ volume fraction ranging from 14% to 69%, and a N$_2$ mixture with 16% to 33% CO$_2$ volume fraction. Our results show a significant improvement with respect to models for the removal of trace amounts of contaminant.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.02939
 arXiv:
 arXiv:2404.02939
 Bibcode:
 2024arXiv240402939M
 Keywords:

 Physics  Fluid Dynamics;
 35Q35
 EPrint:
 30 pages, 9 figures, 6 tables. Contains Supplementary Material (8 pages,2 figures, 2 tables)