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Journal of Engineering Mathematics

Erschienen in:

05.11.2015

Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor

verfasst von: Natalie C. Pearson, Rebecca J. Shipley, Sarah L. Waters, James M. Oliver

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2016

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Abstract

We present a matched asymptotic analysis of the fluid flow and solute transport in a small aspect ratio hollow fibre membrane bioreactor. A two-dimensional domain is assumed for simplicity, enabling greater understanding of the typical behaviours of the system in a setup which is analytically tractable. The model permits analysis related to Taylor dispersion problems, and allows us to predict the dependence of the mean solute uptake and solute exposure time on key parameters such as the inlet fluid fluxes, porous membrane porosity and cell layer porosity and width, which could be controlled or measured experimentally.

Vorheriger Artikel Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives

Nächster Artikel Regularized model of post-touchdown configurations in electrostatic MEMS: bistability analysis

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Titel: Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor
verfasst von: Natalie C. Pearson
Rebecca J. Shipley
Sarah L. Waters
James M. Oliver
Publikationsdatum: 05.11.2015
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2016
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-015-9819-5

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