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Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers
The flow structure and the solute concentration distribution of an aqueous solution inside a slit filled with ladder-type spacers are investigated. The geometry is asymmetric: the upper-wall is impermeable and the lower-wall is semi-permeable. The total continuity, the Navier–Stokes and the solute c...
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Published in: | Computers & structures 2004-07, Vol.82 (17), p.1561-1568 |
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creator | Geraldes, Vı́tor Semiao, Viriato Norberta de Pinho, Maria |
description | The flow structure and the solute concentration distribution of an aqueous solution inside a slit filled with ladder-type spacers are investigated. The geometry is asymmetric: the upper-wall is impermeable and the lower-wall is semi-permeable. The total continuity, the Navier–Stokes and the solute continuity equations are numerically solved through the control-volume approach. Two different cases are simulated: case 1––filaments adjacent to the membrane; case 2––filaments adjacent to the impermeable wall. Results are validated against experimental values acquired in a laboratory cell operating with NaCl and sucrose solutions. The slit (2
×
30
×
200 mm) is filled with spacers having transversal filaments placed every 3.8 mm. Results show that the average concentration polarisation for case 1 does not depend on the distance to the inlet as filaments disrupt periodically the concentration boundary layer and, therefore, the concentration polarisation is controlled. Although shear stresses exhibit a cleansing effect for case 2, the concentration polarisation increases uninterruptedly as the concentration boundary layer grows continuously across the channel length. Results demonstrate that the spacers' position and filaments' configuration determine the flow structure and the mass transfer efficiency. |
doi_str_mv | 10.1016/j.compstruc.2004.03.052 |
format | article |
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×
30
×
200 mm) is filled with spacers having transversal filaments placed every 3.8 mm. Results show that the average concentration polarisation for case 1 does not depend on the distance to the inlet as filaments disrupt periodically the concentration boundary layer and, therefore, the concentration polarisation is controlled. Although shear stresses exhibit a cleansing effect for case 2, the concentration polarisation increases uninterruptedly as the concentration boundary layer grows continuously across the channel length. Results demonstrate that the spacers' position and filaments' configuration determine the flow structure and the mass transfer efficiency.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/j.compstruc.2004.03.052</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Computational Fluid Dynamics ; Membrane permeation ; Nanofiltration ; Rejection coefficients ; Reverse osmosis ; Spacers geometry</subject><ispartof>Computers & structures, 2004-07, Vol.82 (17), p.1561-1568</ispartof><rights>2004 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-49ae4ca568534613570f580bf7c4d3d7e4e52f01e9fb42e5f9566514eea8fb783</citedby><cites>FETCH-LOGICAL-c375t-49ae4ca568534613570f580bf7c4d3d7e4e52f01e9fb42e5f9566514eea8fb783</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Geraldes, Vı́tor</creatorcontrib><creatorcontrib>Semiao, Viriato</creatorcontrib><creatorcontrib>Norberta de Pinho, Maria</creatorcontrib><title>Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers</title><title>Computers & structures</title><description>The flow structure and the solute concentration distribution of an aqueous solution inside a slit filled with ladder-type spacers are investigated. The geometry is asymmetric: the upper-wall is impermeable and the lower-wall is semi-permeable. The total continuity, the Navier–Stokes and the solute continuity equations are numerically solved through the control-volume approach. Two different cases are simulated: case 1––filaments adjacent to the membrane; case 2––filaments adjacent to the impermeable wall. Results are validated against experimental values acquired in a laboratory cell operating with NaCl and sucrose solutions. The slit (2
×
30
×
200 mm) is filled with spacers having transversal filaments placed every 3.8 mm. Results show that the average concentration polarisation for case 1 does not depend on the distance to the inlet as filaments disrupt periodically the concentration boundary layer and, therefore, the concentration polarisation is controlled. Although shear stresses exhibit a cleansing effect for case 2, the concentration polarisation increases uninterruptedly as the concentration boundary layer grows continuously across the channel length. Results demonstrate that the spacers' position and filaments' configuration determine the flow structure and the mass transfer efficiency.</description><subject>Computational Fluid Dynamics</subject><subject>Membrane permeation</subject><subject>Nanofiltration</subject><subject>Rejection coefficients</subject><subject>Reverse osmosis</subject><subject>Spacers geometry</subject><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNqNkU1LxDAQhoMouK7-Bnvy1jpJk6Y9yuIXCF70HLLpBLNkm5qkLv57q6te9RSGPM8LMy8h5xQqCrS53FQmbMeU42QqBsArqCsQ7IAsaCu7kjFeH5LF_CFK2fHumJyktAGAhgMsyOsqDAaHHHV2YSjG4HV0aT_ooS-sD7viKzxPEYudyy9uKAY9BOv8j5VGF7Uvd2GajW3oJ4_pCy287nuMZX4fcaa0wZhOyZHVPuHZ97skzzfXT6u78uHx9n519VCaWopc8k4jN1o0rah5Q2shwYoW1lYa3te9RI6CWaDY2TVnKGwnmkZQjqhbu5ZtvSQX-9wxhtcJU1Zblwx6rwcMU1KsbTvWtfIfIKXAQMyg3IMmhpQiWjVGt9XxXVFQn12ojfrtQn12oaBWcxezebU3cV74zWFUyTicD9-7iCarPrg_Mz4ABuma3A</recordid><startdate>20040701</startdate><enddate>20040701</enddate><creator>Geraldes, Vı́tor</creator><creator>Semiao, Viriato</creator><creator>Norberta de Pinho, Maria</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>20040701</creationdate><title>Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers</title><author>Geraldes, Vı́tor ; Semiao, Viriato ; Norberta de Pinho, Maria</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-49ae4ca568534613570f580bf7c4d3d7e4e52f01e9fb42e5f9566514eea8fb783</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Computational Fluid Dynamics</topic><topic>Membrane permeation</topic><topic>Nanofiltration</topic><topic>Rejection coefficients</topic><topic>Reverse osmosis</topic><topic>Spacers geometry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Geraldes, Vı́tor</creatorcontrib><creatorcontrib>Semiao, Viriato</creatorcontrib><creatorcontrib>Norberta de Pinho, Maria</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Aerospace Database</collection><jtitle>Computers & structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Geraldes, Vı́tor</au><au>Semiao, Viriato</au><au>Norberta de Pinho, Maria</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers</atitle><jtitle>Computers & structures</jtitle><date>2004-07-01</date><risdate>2004</risdate><volume>82</volume><issue>17</issue><spage>1561</spage><epage>1568</epage><pages>1561-1568</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>The flow structure and the solute concentration distribution of an aqueous solution inside a slit filled with ladder-type spacers are investigated. The geometry is asymmetric: the upper-wall is impermeable and the lower-wall is semi-permeable. The total continuity, the Navier–Stokes and the solute continuity equations are numerically solved through the control-volume approach. Two different cases are simulated: case 1––filaments adjacent to the membrane; case 2––filaments adjacent to the impermeable wall. Results are validated against experimental values acquired in a laboratory cell operating with NaCl and sucrose solutions. The slit (2
×
30
×
200 mm) is filled with spacers having transversal filaments placed every 3.8 mm. Results show that the average concentration polarisation for case 1 does not depend on the distance to the inlet as filaments disrupt periodically the concentration boundary layer and, therefore, the concentration polarisation is controlled. Although shear stresses exhibit a cleansing effect for case 2, the concentration polarisation increases uninterruptedly as the concentration boundary layer grows continuously across the channel length. Results demonstrate that the spacers' position and filaments' configuration determine the flow structure and the mass transfer efficiency.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruc.2004.03.052</doi><tpages>8</tpages></addata></record> |
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source | ScienceDirect Journals |
subjects | Computational Fluid Dynamics Membrane permeation Nanofiltration Rejection coefficients Reverse osmosis Spacers geometry |
title | Concentration polarisation and flow structure within nanofiltration spiral-wound modules with ladder-type spacers |
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