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The scope of this paper involves investigating how adsorption processes de- scribed by constant pattern behavior are affected by small deviations from plug flow. Such deviations impact the breakthrough behavior at the bed outlet by saturating various radial positions of the adsorption bed at different times, in effect broaden- ing the breakthrough curve. Deviations from plug flow exist in real adsorption beds due to nonuniform packings and channeling effects at the bed wall. Using laser- Doppler anemometry, Vortmeyer and Schuster13 have shown experimentally that the local fluid-phase velocity varies significantly across the cross-section of the bed and is greater at the wall than at the centerline of the bed. Experiments and numer- ical analyses done by Miyabe and Guiochon7 and Astrath et al.2 also agree that the fluid-phase velocity is greater at the wall than the centerline in chromatography columns. In comparison to the amount of work that has dealt with constant pattern behavior for plug flow, there is limited research concerning constant pattern behavior withdeviationsfromplugflow.Terecketal.11 discusstherelationshipamongconcen- trations for a constant pattern profile under nonplug-flow conditions for a cylindrical channel with adsorption at the wall. They demonstrate that a constant pattern profile can be approached for adsorption with nonplug-flow-velocity profiles. Rudisill and LeVan9 investigate adsorption of a dilute solute from fluid in nonplug-flow through a porous structure of arbitrary but constant cross section. Avil ́es and LeVan3 create network models to describe nonuniform flow and nonlinear adsorption in packed beds. Although not solved for a system exhibiting constant pattern behavior, Vortmeyer and Michael12 numerically solve the nonplug-flow gas-phase continuity equation with adsorption rates modeled by a linear driving force. They noticed that the numerical model predicted distinct differences between the breakthrough curves near the wall and the center of the bed. In this paper, we solve the continuity equation for fixed-bed adsorption with 51PDF Image | TEMPERATURE SWING ADSORPTION COMPRESSION AND MEMBRANE SEPARATIONS
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