Analytic solution for adsorber breakthrough curves with bidisperse sorbents (zeolites)
Article first published online: 17 JUN 2004
Copyright © 1986 American Institute of Chemical Engineers
Volume 32, Issue 10, pages 1635–1641, October 1986
How to Cite
Cen, P. L. and Yang, R. T. (1986), Analytic solution for adsorber breakthrough curves with bidisperse sorbents (zeolites). AIChE J., 32: 1635–1641. doi: 10.1002/aic.690321007
- Issue published online: 17 JUN 2004
- Article first published online: 17 JUN 2004
- Manuscript Revised: 14 JAN 1986
- Manuscript Received: 31 OCT 1985
A time-domain solution in the form of infinite series for the break-through curves is derived for zeolite adsorbers. Three diffusion steps are accounted for in the solution: external film, macropore, and micropore. The solution is based on the assumption that the concentration profiles in micropores and macropores are both parabolic.
Based on the analytic solution, a simple criterion is given for the relative importance of the three individual mass transfer resistances. The adsorber behavior is determined by four independent dimensionless parameters. For the commercial zeolite sorbents, the bed behavior is dominated by two parameters: Henry's law constant (K) and the parameter M2, which is the product of the stoichiometric time (L/v) and the time constant for macropore diffusion (Dp/Ro2).
The analytic solution is in good agreement with experimental data for the breakthrough curves of nitrogen and methane carried in helium in 5A zeolite beds. When reduced to monodisperse pores, the solution is also in good agreement with Rosen's exact solution.