Tube-side mass transfer for hollow fibre membrane contactors operated in the low Graetz range

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dc.contributor.authorWang, C. Y.
dc.contributor.authorMercer, E.
dc.contributor.authorKamranvand, Farhad
dc.contributor.authorWilliams, Leon
dc.contributor.authorKolios, Athanasios
dc.contributor.authorParker, Alison
dc.contributor.authorTyrrel, Sean
dc.contributor.authorCartmell, Elise
dc.contributor.authorMcAdam, Ewan J.
dc.date.accessioned2016-11-23T14:30:51Z
dc.date.available2016-11-23T14:30:51Z
dc.date.issued2016-09-28
dc.description.abstractTransformation of the tube-side mass transfer coefficient derived in hollow fibre membrane contactors (HFMC) of different characteristic length scales (equivalent diameter and fibre length) has been studied when operated in the low Graetz range (Gz < 10). Within the low Gz range, mass transfer is generally described by the Graetz problem (Sh=3.67) which assumes that the concentration profile comprises a constant shape over the fibre radius. In this study, it is experimentally evidenced that this assumption over predicts mass transfer within the low Graetz range. Furthermore, within the low Gz range (below 2), a proportional relationship between the experimentally determined mass transfer coefficient (Kov) and the Graetz number has been identified. For Gz numbers below 2, the experimental Sh number approached unity, which suggests that mass transfer is strongly dependent upon diffusion. However, within this diffusion controlled region of mass transfer, tube-side fluid velocity remained important. For Gz numbers above 2, Sh could be satisfactorily described by extension to the Lévêque solution, which can be ascribed to the constrained growth of the concentration boundary layer adjacent to the fibre wall. Importantly this study demonstrates that whilst mass transfer in the low Graetz range does not explicitly conform to either the Graetz problem or classical Lévêque solution, it is possible to transform the experimentally derived overall mass transfer coefficient (Kov) between characteristic length scales (dh and L). This was corroborated by comparison of the empirical relationship determined in this study (Sh=0.36Gz) with previously published studies operated in the low Gz range. This analysis provides important insight for process design when slow tube-side flows, or low Schmidt numbers (coincident with gases) constrain operation of hollow fibre membrane contactors to the low Gz range.en_UK
dc.identifier.citationWang CY, Mercer E, Kamranvand F, et al. (2017) Tube-side mass transfer for hollow fibre membrane contactors operated in the low Graetz range. Journal of Membrane Science, Volume 523, February 2017, pp. 235–246en_UK
dc.identifier.cris15378896
dc.identifier.issn0376-7388
dc.identifier.urihttp://dx.doi.org/10.1016/j.memsci.2016.09.049
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/11019
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution 4.0 International
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLumenen_UK
dc.subjectGraetz-Lévêqueen_UK
dc.subjectGraetz problemen_UK
dc.subjectLow Reynolds numberen_UK
dc.subjectEntrance regionen_UK
dc.titleTube-side mass transfer for hollow fibre membrane contactors operated in the low Graetz rangeen_UK
dc.typeArticleen_UK

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