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Article: Quantification of solid pressure in the concentration polarization (CP) layer of colloidal particles and its impact on ultrafiltration

TitleQuantification of solid pressure in the concentration polarization (CP) layer of colloidal particles and its impact on ultrafiltration
Authors
KeywordsConcentration polarization
Membrane fouling
Particles
Solid pressure
Ultrafiltration
XDLVO
Issue Date2011
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcis
Citation
Journal Of Colloid And Interface Science, 2011, v. 358 n. 1, p. 290-300 How to Cite?
AbstractHere we describe the nature and implications of the " concentration polarization" (CP) layer that is formed during ultrafiltration of colloidal particles using a new approach in which the solid pressure, which arises from inter-particle interactions, and the inherent osmotic pressure are separately considered. The approach makes use of the particle transport mass balance between the convective and diffusive fluxes. The particle convection rate is hindered when inter-particle interactions take effect by reducing the particle velocities while the particle diffusion is solely controlled by the Brownian motion. An increase in solid pressure accounts for the reduction of the water potential caused by the relative motions of the particles and the surrounding water. A cell model is adopted to relate the local solid pressure with the local solid fraction and inter-particle interactions. The inter-particle interactions critically determine the form of particle accumulation (i.e. CP or gel/cake) on the membrane. The Shirato-Darcy equation is employed to relate the rate of increase in solid pressure, the relative liquid velocity and the solid fraction. Numerical integration approaches are employed to quantify the properties of the CP layer during both the development as well as the steady state phases (with steady state normally being achieved in a few minutes). The solid fractions are always no higher than those obtained when the inter-particle interactions are not considered. The decrease of the water potential caused by CP formation leads to the increase of both the solid pressure and the osmotic pressure. The dependence of the solid pressure on the solid fraction is usually stronger than that of the osmotic pressure. It is thus apparent that the solid pressure would be expected to dominate water potential reduction for solid fractions above a certain value though the solid pressure will be negligible when the solid fraction is relatively low. © 2011 Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/135066
ISSN
2015 Impact Factor: 3.782
2015 SCImago Journal Rankings: 1.126
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council (RGC) of the Hong Kong SAR Government, University of Hong KongHKU7144/E07
Funding Information:

This research was partially supported by URC funding from the University of Hong Kong and Grant HKU7144/E07 from the Research Grants Council (RGC) of the Hong Kong SAR Government. Comments provided by Professor Mark Benjamin (University of Washington, Seattle) on an earlier version of this manuscript are gratefully acknowledged. Discussion with Mr. Kang Xiao (Tsinghua University, Beijing) is highly appreciated.

References

 

DC FieldValueLanguage
dc.contributor.authorWang, XMen_HK
dc.contributor.authorLi, XYen_HK
dc.contributor.authorDavid Waite, Ten_HK
dc.date.accessioned2011-07-27T01:27:25Z-
dc.date.available2011-07-27T01:27:25Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Colloid And Interface Science, 2011, v. 358 n. 1, p. 290-300en_HK
dc.identifier.issn0021-9797en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135066-
dc.description.abstractHere we describe the nature and implications of the " concentration polarization" (CP) layer that is formed during ultrafiltration of colloidal particles using a new approach in which the solid pressure, which arises from inter-particle interactions, and the inherent osmotic pressure are separately considered. The approach makes use of the particle transport mass balance between the convective and diffusive fluxes. The particle convection rate is hindered when inter-particle interactions take effect by reducing the particle velocities while the particle diffusion is solely controlled by the Brownian motion. An increase in solid pressure accounts for the reduction of the water potential caused by the relative motions of the particles and the surrounding water. A cell model is adopted to relate the local solid pressure with the local solid fraction and inter-particle interactions. The inter-particle interactions critically determine the form of particle accumulation (i.e. CP or gel/cake) on the membrane. The Shirato-Darcy equation is employed to relate the rate of increase in solid pressure, the relative liquid velocity and the solid fraction. Numerical integration approaches are employed to quantify the properties of the CP layer during both the development as well as the steady state phases (with steady state normally being achieved in a few minutes). The solid fractions are always no higher than those obtained when the inter-particle interactions are not considered. The decrease of the water potential caused by CP formation leads to the increase of both the solid pressure and the osmotic pressure. The dependence of the solid pressure on the solid fraction is usually stronger than that of the osmotic pressure. It is thus apparent that the solid pressure would be expected to dominate water potential reduction for solid fractions above a certain value though the solid pressure will be negligible when the solid fraction is relatively low. © 2011 Elsevier Inc.en_HK
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcisen_HK
dc.relation.ispartofJournal of Colloid and Interface Scienceen_HK
dc.subjectConcentration polarizationen_HK
dc.subjectMembrane foulingen_HK
dc.subjectParticlesen_HK
dc.subjectSolid pressureen_HK
dc.subjectUltrafiltrationen_HK
dc.subjectXDLVOen_HK
dc.subject.meshColloids - chemistry-
dc.subject.meshModels, Chemical-
dc.subject.meshMotion-
dc.subject.meshOsmotic Pressure-
dc.subject.meshUltrafiltration-
dc.titleQuantification of solid pressure in the concentration polarization (CP) layer of colloidal particles and its impact on ultrafiltrationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0021-9797&volume=358&issue=1&spage=290&epage=300&date=2011&atitle=Quantification+of+solid+pressure+in+the+concentration+polarization+(CP)+layer+of+colloidal+particles+and+its+impact+on+ultrafiltration-
dc.identifier.emailWang, XM: wangxm@hku.hken_HK
dc.identifier.emailLi, XY: xlia@hkucc.hku.hken_HK
dc.identifier.authorityWang, XM=rp01452en_HK
dc.identifier.authorityLi, XY=rp00222en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jcis.2011.02.058en_HK
dc.identifier.pmid21419415-
dc.identifier.scopuseid_2-s2.0-79953294679en_HK
dc.identifier.hkuros188278en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79953294679&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume358en_HK
dc.identifier.issue1en_HK
dc.identifier.spage290en_HK
dc.identifier.epage300en_HK
dc.identifier.isiWOS:000289600300039-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, XM=23092524200en_HK
dc.identifier.scopusauthoridLi, XY=26642887900en_HK
dc.identifier.scopusauthoridDavid Waite, T=7004869232en_HK
dc.identifier.citeulike8926492-

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