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Samenvatting
We report on a generic mathematical study of the transient plate height regime in bundles of polydisperse capillaries with diffusional bridging. I.e., we have investigated how the plate height in such systems can be expected to vary with the residence time, or equivalently, with the column length, before reaching a longtime limit wherein the plate height becomes constant. This is important because, in case of systems with a large number of capillaries (N), the transient regime solution is practically much more relevant than the longtime limit solution. The problem has been investigated using a simplified, yet representative geometry that is amenable to a semianalytical solution, only requiring a numerical integration of the velocity field across a line (2D geometries) or a square or rectangle (3D geometries). The availability of this semianalytical approach allows to consider the required large number of different random capillary diameter drawings (order of 10,000) needed to establish a sufficiently averaged result (deviation from true mean on the order of 1%). The general solution could be simplified into a set of twoparameter expressions describing either the longtime limit (τ→∞) as well as that of an infinite number of capillaries (N→∞). The combinations of N and τ where these expressions are valid to within an accuracy of 5% could be delimited with simple analytical expressions as well. It has also been observed that the longtime limit solution for the additional plate height (Δh_{τ→∞}) remains dependant on the number of capillaries N, even when N tends to infinity. It is found that Δh_{τ→∞} can be expected to increase in proportion with N1 (2Dcase) or with ln(N1) (3Dcase). This dependency of Δh_{τ→∞} on N is a result that is not obtained when modelling the capillary bundle using a representative binary capillary system approach as has been done uptillnow in literature.
Originele taal2  English 

Artikelnummer  463346 
Tijdschrift  Journal of Chromatography A 
Volume  1678 
DOI's  
Status  Published  16 aug 2022 
Vingerafdruk
Duik in de onderzoeksthema's van 'Transient TaylorAris dispersion in Ncapillary systems: Convergence properties of the band broadening in polydisperse multicapillary columns with diffusional bridging'. Samen vormen ze een unieke vingerafdruk.Projecten
 1 Afgelopen

SRP6: SRP (Zwaartepunt): exploitatie van de voordelen van de Orde in Opsluiting voor een groenere chemie
Desmet, G., Denayer, J., Denayer, J., Desmet, G. & Denayer, J.
1/11/12 → 31/10/22
Project: Fundamenteel