Loading…

Dunes, turbulent eddies, and interfacial exchange with permeable sediments

Interfaces between a water column and underlying porous media are ubiquitous in nature. Turbulent flow over an irregular interface separating a water column and underlying porous media drives advective‐fluid exchange between the two domains. We investigate the dynamics of this coupled system for uni...

Full description

Saved in:
Bibliographic Details
Published in:Water resources research 2007-08, Vol.43 (8), p.n/a
Main Authors: Cardenas, M.B, Wilson, J.L
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843
cites cdi_FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843
container_end_page n/a
container_issue 8
container_start_page
container_title Water resources research
container_volume 43
creator Cardenas, M.B
Wilson, J.L
description Interfaces between a water column and underlying porous media are ubiquitous in nature. Turbulent flow over an irregular interface separating a water column and underlying porous media drives advective‐fluid exchange between the two domains. We investigate the dynamics of this coupled system for unidirectional flow in the water column and a triangular interface modeled on dunes. Numerical simulations solve the Reynolds‐averaged Navier‐Stokes equations for the water column and then Darcy's Law and the continuity equation for the porous media. The two sets of equations are coupled via the pressure distribution along the interface. The pressure maximum and minimum along the interface, which are tied to the presence of an eddy, dominantly control the configuration of and flux through the interfacial exchange zone (IEZ) in the porous media. Since the length of eddies for fully developed turbulent flow is insensitive to the Reynolds numbers (Re), the configuration of the IEZ remains stable across a range of Re, although flux through the IEZ is strongly dependent on the Re. The flux is a power function of Re and a linear function of the current‐topography induced pressure gradient along the interface. Mean residence times for fluids in the IEZ follow an inverse‐power relationship with Re since the volume of the IEZ is insensitive to Re. The IEZ depths and fluxes can be predicted via equations fitted to the simulated IEZ depths and fluxes, scaled by the dune steepness, for different Re, granted that other systems maintain close dynamic similitude with those studied here.
doi_str_mv 10.1029/2006WR005787
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_20523109</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>20523109</sourcerecordid><originalsourceid>FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843</originalsourceid><addsrcrecordid>eNp90EFP3DAQBWALtRJb2hv35tQTgbHHjpNjtYWl1QqkBbTcLCceg0s2u9iJgH_foCDUE6eRRt8baR5jhxyOOYjqRAAU6xWA0qXeYzNeSZnrSuMnNgOQmHOs9D77ktJfAC5VoWfsz6-ho3SU9UOsh5a6PiPnwuvGdi4LXU_R2ybYNqPn5t52d5Q9hf4-21HckK1byhK5sBmD6Sv77G2b6NvbPGA3Z6fX8_N8ebn4Pf-5zK1ExLyRJWqyQpL22jrhFaBXRYWac7Sudl4DlJyaWnoHqBpCj1BoWyvrVCnxgP2Y7u7i9nGg1JtNSA21re1oOyQjQAnkUI3waIJN3KYUyZtdDBsbXwwH81qY-b-wkePEn0JLLx9as17NV5wLgWMqn1Ih9fT8nrLxwRQatTLri4VZL8-X17eLM6NG_33y3m6NvYshmZsrARzHp0shRIn_AD74hTM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>20523109</pqid></control><display><type>article</type><title>Dunes, turbulent eddies, and interfacial exchange with permeable sediments</title><source>Wiley Online Library AGU 2016</source><creator>Cardenas, M.B ; Wilson, J.L</creator><creatorcontrib>Cardenas, M.B ; Wilson, J.L</creatorcontrib><description>Interfaces between a water column and underlying porous media are ubiquitous in nature. Turbulent flow over an irregular interface separating a water column and underlying porous media drives advective‐fluid exchange between the two domains. We investigate the dynamics of this coupled system for unidirectional flow in the water column and a triangular interface modeled on dunes. Numerical simulations solve the Reynolds‐averaged Navier‐Stokes equations for the water column and then Darcy's Law and the continuity equation for the porous media. The two sets of equations are coupled via the pressure distribution along the interface. The pressure maximum and minimum along the interface, which are tied to the presence of an eddy, dominantly control the configuration of and flux through the interfacial exchange zone (IEZ) in the porous media. Since the length of eddies for fully developed turbulent flow is insensitive to the Reynolds numbers (Re), the configuration of the IEZ remains stable across a range of Re, although flux through the IEZ is strongly dependent on the Re. The flux is a power function of Re and a linear function of the current‐topography induced pressure gradient along the interface. Mean residence times for fluids in the IEZ follow an inverse‐power relationship with Re since the volume of the IEZ is insensitive to Re. The IEZ depths and fluxes can be predicted via equations fitted to the simulated IEZ depths and fluxes, scaled by the dune steepness, for different Re, granted that other systems maintain close dynamic similitude with those studied here.</description><identifier>ISSN: 0043-1397</identifier><identifier>EISSN: 1944-7973</identifier><identifier>DOI: 10.1029/2006WR005787</identifier><language>eng</language><publisher>Blackwell Publishing Ltd</publisher><subject>dunes ; eddies ; equations ; hydrologic models ; hyporheic zone ; interfacial exchange ; interfacial exchange zone ; Marine ; mathematical models ; multiphysics modeling ; Permeable sediments ; porous media ; pressure ; spatial variation ; surface roughness ; surface water ; surfaces ; turbulent flow</subject><ispartof>Water resources research, 2007-08, Vol.43 (8), p.n/a</ispartof><rights>Copyright 2007 by the American Geophysical Union.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843</citedby><cites>FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1029%2F2006WR005787$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1029%2F2006WR005787$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,11514,27924,27925,46468,46892</link.rule.ids></links><search><creatorcontrib>Cardenas, M.B</creatorcontrib><creatorcontrib>Wilson, J.L</creatorcontrib><title>Dunes, turbulent eddies, and interfacial exchange with permeable sediments</title><title>Water resources research</title><addtitle>Water Resour. Res</addtitle><description>Interfaces between a water column and underlying porous media are ubiquitous in nature. Turbulent flow over an irregular interface separating a water column and underlying porous media drives advective‐fluid exchange between the two domains. We investigate the dynamics of this coupled system for unidirectional flow in the water column and a triangular interface modeled on dunes. Numerical simulations solve the Reynolds‐averaged Navier‐Stokes equations for the water column and then Darcy's Law and the continuity equation for the porous media. The two sets of equations are coupled via the pressure distribution along the interface. The pressure maximum and minimum along the interface, which are tied to the presence of an eddy, dominantly control the configuration of and flux through the interfacial exchange zone (IEZ) in the porous media. Since the length of eddies for fully developed turbulent flow is insensitive to the Reynolds numbers (Re), the configuration of the IEZ remains stable across a range of Re, although flux through the IEZ is strongly dependent on the Re. The flux is a power function of Re and a linear function of the current‐topography induced pressure gradient along the interface. Mean residence times for fluids in the IEZ follow an inverse‐power relationship with Re since the volume of the IEZ is insensitive to Re. The IEZ depths and fluxes can be predicted via equations fitted to the simulated IEZ depths and fluxes, scaled by the dune steepness, for different Re, granted that other systems maintain close dynamic similitude with those studied here.</description><subject>dunes</subject><subject>eddies</subject><subject>equations</subject><subject>hydrologic models</subject><subject>hyporheic zone</subject><subject>interfacial exchange</subject><subject>interfacial exchange zone</subject><subject>Marine</subject><subject>mathematical models</subject><subject>multiphysics modeling</subject><subject>Permeable sediments</subject><subject>porous media</subject><subject>pressure</subject><subject>spatial variation</subject><subject>surface roughness</subject><subject>surface water</subject><subject>surfaces</subject><subject>turbulent flow</subject><issn>0043-1397</issn><issn>1944-7973</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp90EFP3DAQBWALtRJb2hv35tQTgbHHjpNjtYWl1QqkBbTcLCceg0s2u9iJgH_foCDUE6eRRt8baR5jhxyOOYjqRAAU6xWA0qXeYzNeSZnrSuMnNgOQmHOs9D77ktJfAC5VoWfsz6-ho3SU9UOsh5a6PiPnwuvGdi4LXU_R2ybYNqPn5t52d5Q9hf4-21HckK1byhK5sBmD6Sv77G2b6NvbPGA3Z6fX8_N8ebn4Pf-5zK1ExLyRJWqyQpL22jrhFaBXRYWac7Sudl4DlJyaWnoHqBpCj1BoWyvrVCnxgP2Y7u7i9nGg1JtNSA21re1oOyQjQAnkUI3waIJN3KYUyZtdDBsbXwwH81qY-b-wkePEn0JLLx9as17NV5wLgWMqn1Ih9fT8nrLxwRQatTLri4VZL8-X17eLM6NG_33y3m6NvYshmZsrARzHp0shRIn_AD74hTM</recordid><startdate>200708</startdate><enddate>200708</enddate><creator>Cardenas, M.B</creator><creator>Wilson, J.L</creator><general>Blackwell Publishing Ltd</general><scope>FBQ</scope><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7TG</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope></search><sort><creationdate>200708</creationdate><title>Dunes, turbulent eddies, and interfacial exchange with permeable sediments</title><author>Cardenas, M.B ; Wilson, J.L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>dunes</topic><topic>eddies</topic><topic>equations</topic><topic>hydrologic models</topic><topic>hyporheic zone</topic><topic>interfacial exchange</topic><topic>interfacial exchange zone</topic><topic>Marine</topic><topic>mathematical models</topic><topic>multiphysics modeling</topic><topic>Permeable sediments</topic><topic>porous media</topic><topic>pressure</topic><topic>spatial variation</topic><topic>surface roughness</topic><topic>surface water</topic><topic>surfaces</topic><topic>turbulent flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cardenas, M.B</creatorcontrib><creatorcontrib>Wilson, J.L</creatorcontrib><collection>AGRIS</collection><collection>Istex</collection><collection>CrossRef</collection><collection>Aqualine</collection><collection>Meteorological &amp; Geoastrophysical Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy &amp; Non-Living Resources</collection><collection>Meteorological &amp; Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) Professional</collection><jtitle>Water resources research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cardenas, M.B</au><au>Wilson, J.L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dunes, turbulent eddies, and interfacial exchange with permeable sediments</atitle><jtitle>Water resources research</jtitle><addtitle>Water Resour. Res</addtitle><date>2007-08</date><risdate>2007</risdate><volume>43</volume><issue>8</issue><epage>n/a</epage><issn>0043-1397</issn><eissn>1944-7973</eissn><abstract>Interfaces between a water column and underlying porous media are ubiquitous in nature. Turbulent flow over an irregular interface separating a water column and underlying porous media drives advective‐fluid exchange between the two domains. We investigate the dynamics of this coupled system for unidirectional flow in the water column and a triangular interface modeled on dunes. Numerical simulations solve the Reynolds‐averaged Navier‐Stokes equations for the water column and then Darcy's Law and the continuity equation for the porous media. The two sets of equations are coupled via the pressure distribution along the interface. The pressure maximum and minimum along the interface, which are tied to the presence of an eddy, dominantly control the configuration of and flux through the interfacial exchange zone (IEZ) in the porous media. Since the length of eddies for fully developed turbulent flow is insensitive to the Reynolds numbers (Re), the configuration of the IEZ remains stable across a range of Re, although flux through the IEZ is strongly dependent on the Re. The flux is a power function of Re and a linear function of the current‐topography induced pressure gradient along the interface. Mean residence times for fluids in the IEZ follow an inverse‐power relationship with Re since the volume of the IEZ is insensitive to Re. The IEZ depths and fluxes can be predicted via equations fitted to the simulated IEZ depths and fluxes, scaled by the dune steepness, for different Re, granted that other systems maintain close dynamic similitude with those studied here.</abstract><pub>Blackwell Publishing Ltd</pub><doi>10.1029/2006WR005787</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0043-1397
ispartof Water resources research, 2007-08, Vol.43 (8), p.n/a
issn 0043-1397
1944-7973
language eng
recordid cdi_proquest_miscellaneous_20523109
source Wiley Online Library AGU 2016
subjects dunes
eddies
equations
hydrologic models
hyporheic zone
interfacial exchange
interfacial exchange zone
Marine
mathematical models
multiphysics modeling
Permeable sediments
porous media
pressure
spatial variation
surface roughness
surface water
surfaces
turbulent flow
title Dunes, turbulent eddies, and interfacial exchange with permeable sediments
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T09%3A10%3A28IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dunes,%20turbulent%20eddies,%20and%20interfacial%20exchange%20with%20permeable%20sediments&rft.jtitle=Water%20resources%20research&rft.au=Cardenas,%20M.B&rft.date=2007-08&rft.volume=43&rft.issue=8&rft.epage=n/a&rft.issn=0043-1397&rft.eissn=1944-7973&rft_id=info:doi/10.1029/2006WR005787&rft_dat=%3Cproquest_cross%3E20523109%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a4333-c4837ea24e7f7ad2f503f56937113adbdf70081ecb4fd035ce3f3067ab5ad5843%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=20523109&rft_id=info:pmid/&rfr_iscdi=true