Control and optimization of solute transport in a thin porous tube

Handle URI:
http://hdl.handle.net/10754/596989
Title:
Control and optimization of solute transport in a thin porous tube
Authors:
Griffiths, I. M.; Howell, P. D.; Shipley, R. J.
Abstract:
Predicting the distribution of solutes or particles in flows within porous-walled tubes is essential to inform the design of devices that rely on cross-flow filtration, such as those used in water purification, irrigation devices, field-flow fractionation, and hollow-fibre bioreactors for tissue-engineering applications. Motivated by these applications, a radially averaged model for fluid and solute transport in a tube with thin porous walls is derived by developing the classical ideas of Taylor dispersion. The model includes solute diffusion and advection via both radial and axial flow components, and the advection, diffusion, and uptake coefficients in the averaged equation are explicitly derived. The effect of wall permeability, slip, and pressure differentials upon the dispersive solute behaviour are investigated. The model is used to explore the control of solute transport across the membrane walls via the membrane permeability, and a parametric expression for the permeability required to generate a given solute distribution is derived. The theory is applied to the specific example of a hollow-fibre membrane bioreactor, where a uniform delivery of nutrient across the membrane walls to the extra-capillary space is required to promote spatially uniform cell growth. © 2013 American Institute of Physics.
Citation:
Griffiths IM, Howell PD, Shipley RJ (2013) Control and optimization of solute transport in a thin porous tube. Phys Fluids 25: 033101. Available: http://dx.doi.org/10.1063/1.4795545.
Publisher:
AIP Publishing
Journal:
Physics of Fluids
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Mar-2013
DOI:
10.1063/1.4795545
Type:
Article
ISSN:
1070-6631; 1089-7666
Sponsors:
This publication is based on work partially supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The authors gratefully acknowledge helpful discussions with Dr. Y. Davit, Dr. M. Taroni, Dr. D. Vella, and Professor H. A. Stone.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGriffiths, I. M.en
dc.contributor.authorHowell, P. D.en
dc.contributor.authorShipley, R. J.en
dc.date.accessioned2016-02-23T13:51:56Zen
dc.date.available2016-02-23T13:51:56Zen
dc.date.issued2013-03en
dc.identifier.citationGriffiths IM, Howell PD, Shipley RJ (2013) Control and optimization of solute transport in a thin porous tube. Phys Fluids 25: 033101. Available: http://dx.doi.org/10.1063/1.4795545.en
dc.identifier.issn1070-6631en
dc.identifier.issn1089-7666en
dc.identifier.doi10.1063/1.4795545en
dc.identifier.urihttp://hdl.handle.net/10754/596989en
dc.description.abstractPredicting the distribution of solutes or particles in flows within porous-walled tubes is essential to inform the design of devices that rely on cross-flow filtration, such as those used in water purification, irrigation devices, field-flow fractionation, and hollow-fibre bioreactors for tissue-engineering applications. Motivated by these applications, a radially averaged model for fluid and solute transport in a tube with thin porous walls is derived by developing the classical ideas of Taylor dispersion. The model includes solute diffusion and advection via both radial and axial flow components, and the advection, diffusion, and uptake coefficients in the averaged equation are explicitly derived. The effect of wall permeability, slip, and pressure differentials upon the dispersive solute behaviour are investigated. The model is used to explore the control of solute transport across the membrane walls via the membrane permeability, and a parametric expression for the permeability required to generate a given solute distribution is derived. The theory is applied to the specific example of a hollow-fibre membrane bioreactor, where a uniform delivery of nutrient across the membrane walls to the extra-capillary space is required to promote spatially uniform cell growth. © 2013 American Institute of Physics.en
dc.description.sponsorshipThis publication is based on work partially supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The authors gratefully acknowledge helpful discussions with Dr. Y. Davit, Dr. M. Taroni, Dr. D. Vella, and Professor H. A. Stone.en
dc.publisherAIP Publishingen
dc.rightsOpen Access under a CC-BY License.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleControl and optimization of solute transport in a thin porous tubeen
dc.typeArticleen
dc.identifier.journalPhysics of Fluidsen
dc.contributor.institutionOxford Centre for Collaborative Applied Mathematics, Mathematical Institute, University of Oxford, Oxford, Oxfordshire OX1 3LB, United Kingdomen
dc.contributor.institutionOxford Centre for Industrial Applied Mathematics, Mathematical Institute, University of Oxford, Oxford, United Kingdomen
dc.contributor.institutionDepartment of Mechanical Engineering, University College London, London, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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