Evolution of a model dune in a shear flow
We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Doubl...
Gespeichert in:
Veröffentlicht in: | European journal of mechanics, B, Fluids B, Fluids, 2006-05, Vol.25 (3), p.348-359 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 359 |
---|---|
container_issue | 3 |
container_start_page | 348 |
container_title | European journal of mechanics, B, Fluids |
container_volume | 25 |
creator | Kouakou, Kouamé Kan Jacques Lagrée, Pierre-Yves |
description | We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Double Deck” (large Reynolds number laminar flow theory) is used for the flow. This method allows the computation of boundary layer separation, and the flow may be further simplified with an analytical relation linking the dune shape to the skin friction. For a given shape, the asymptotic solutions give a good agreement with Navier Stokes computations. Examples of displacement of model dunes are presented. We then obtain a selfsimilar coupled problem, predicting that the velocity of the dune is proportional to
m
−
1
/
4
. Computations indicate that there is no dune if the mass of the dune is too small, or if the saturation length is too large, or if the threshold is too small. |
doi_str_mv | 10.1016/j.euromechflu.2005.09.002 |
format | Article |
fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_01448575v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0997754605000737</els_id><sourcerecordid>29733436</sourcerecordid><originalsourceid>FETCH-LOGICAL-c447t-e455270ccdec4abec376e786aedb566c20d50f7e54b93e8a9f37a5afeaf6c4113</originalsourceid><addsrcrecordid>eNqNkE1rGzEQhkVpoG6a_7A9pODDbkerL-sYjJMUDL20ZyFrR1hGXiWS1yX_PrusaXJrT8MMz8y8PIR8pdBQoPL7ocEhpyO6vY9D0wKIBnQD0H4gC7pSrFZMw0eyAK1VrQSXn8jnUg4AwFsmF2S5Oac4nELqq-QrWx1Th7Hqhh6r0I992aPNlY_pzxdy5W0seHOp1-T3_ebX-rHe_nz4sb7b1o5zdaqRC9EqcK5Dx-0OHVMS1Upa7HZCStdCJ8ArFHynGa6s9kxZYT1aLx2nlF2T5Xx3b6N5yuFo84tJNpjHu62ZZkA5XwklzhP7bWafcnoesJzMMRSHMdoe01BMqxVjnMl_glRRSSkVI6hn0OVUSkb_NwIFMxk3B_POuJmMG9BmND7u3l6e2OJs9Nn2LpS3A0qKthVT6vXM4ajxHDCb4gL2DruQ0Z1Ml8J_fHsFVEubHQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>17161115</pqid></control><display><type>article</type><title>Evolution of a model dune in a shear flow</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Kouakou, Kouamé Kan Jacques ; Lagrée, Pierre-Yves</creator><creatorcontrib>Kouakou, Kouamé Kan Jacques ; Lagrée, Pierre-Yves</creatorcontrib><description>We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Double Deck” (large Reynolds number laminar flow theory) is used for the flow. This method allows the computation of boundary layer separation, and the flow may be further simplified with an analytical relation linking the dune shape to the skin friction. For a given shape, the asymptotic solutions give a good agreement with Navier Stokes computations. Examples of displacement of model dunes are presented. We then obtain a selfsimilar coupled problem, predicting that the velocity of the dune is proportional to
m
−
1
/
4
. Computations indicate that there is no dune if the mass of the dune is too small, or if the saturation length is too large, or if the threshold is too small.</description><identifier>ISSN: 0997-7546</identifier><identifier>EISSN: 1873-7390</identifier><identifier>DOI: 10.1016/j.euromechflu.2005.09.002</identifier><language>eng</language><publisher>Paris: Elsevier Masson SAS</publisher><subject>Boundary layer ; Earth sciences ; Earth, ocean, space ; Erosion sedimentation ; Exact sciences and technology ; Fluid mechanics ; Marine and continental quaternary ; Mechanics ; Physics ; Surficial geology ; Thermics</subject><ispartof>European journal of mechanics, B, Fluids, 2006-05, Vol.25 (3), p.348-359</ispartof><rights>2005 Elsevier SAS</rights><rights>2006 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c447t-e455270ccdec4abec376e786aedb566c20d50f7e54b93e8a9f37a5afeaf6c4113</citedby><cites>FETCH-LOGICAL-c447t-e455270ccdec4abec376e786aedb566c20d50f7e54b93e8a9f37a5afeaf6c4113</cites><orcidid>0000-0002-3931-6622</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.euromechflu.2005.09.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,315,782,786,887,3552,27931,27932,46002</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17652251$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.sorbonne-universite.fr/hal-01448575$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Kouakou, Kouamé Kan Jacques</creatorcontrib><creatorcontrib>Lagrée, Pierre-Yves</creatorcontrib><title>Evolution of a model dune in a shear flow</title><title>European journal of mechanics, B, Fluids</title><description>We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Double Deck” (large Reynolds number laminar flow theory) is used for the flow. This method allows the computation of boundary layer separation, and the flow may be further simplified with an analytical relation linking the dune shape to the skin friction. For a given shape, the asymptotic solutions give a good agreement with Navier Stokes computations. Examples of displacement of model dunes are presented. We then obtain a selfsimilar coupled problem, predicting that the velocity of the dune is proportional to
m
−
1
/
4
. Computations indicate that there is no dune if the mass of the dune is too small, or if the saturation length is too large, or if the threshold is too small.</description><subject>Boundary layer</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Erosion sedimentation</subject><subject>Exact sciences and technology</subject><subject>Fluid mechanics</subject><subject>Marine and continental quaternary</subject><subject>Mechanics</subject><subject>Physics</subject><subject>Surficial geology</subject><subject>Thermics</subject><issn>0997-7546</issn><issn>1873-7390</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNqNkE1rGzEQhkVpoG6a_7A9pODDbkerL-sYjJMUDL20ZyFrR1hGXiWS1yX_PrusaXJrT8MMz8y8PIR8pdBQoPL7ocEhpyO6vY9D0wKIBnQD0H4gC7pSrFZMw0eyAK1VrQSXn8jnUg4AwFsmF2S5Oac4nELqq-QrWx1Th7Hqhh6r0I992aPNlY_pzxdy5W0seHOp1-T3_ebX-rHe_nz4sb7b1o5zdaqRC9EqcK5Dx-0OHVMS1Upa7HZCStdCJ8ArFHynGa6s9kxZYT1aLx2nlF2T5Xx3b6N5yuFo84tJNpjHu62ZZkA5XwklzhP7bWafcnoesJzMMRSHMdoe01BMqxVjnMl_glRRSSkVI6hn0OVUSkb_NwIFMxk3B_POuJmMG9BmND7u3l6e2OJs9Nn2LpS3A0qKthVT6vXM4ajxHDCb4gL2DruQ0Z1Ml8J_fHsFVEubHQ</recordid><startdate>20060501</startdate><enddate>20060501</enddate><creator>Kouakou, Kouamé Kan Jacques</creator><creator>Lagrée, Pierre-Yves</creator><general>Elsevier Masson SAS</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>KL.</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-3931-6622</orcidid></search><sort><creationdate>20060501</creationdate><title>Evolution of a model dune in a shear flow</title><author>Kouakou, Kouamé Kan Jacques ; Lagrée, Pierre-Yves</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c447t-e455270ccdec4abec376e786aedb566c20d50f7e54b93e8a9f37a5afeaf6c4113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Boundary layer</topic><topic>Earth sciences</topic><topic>Earth, ocean, space</topic><topic>Erosion sedimentation</topic><topic>Exact sciences and technology</topic><topic>Fluid mechanics</topic><topic>Marine and continental quaternary</topic><topic>Mechanics</topic><topic>Physics</topic><topic>Surficial geology</topic><topic>Thermics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kouakou, Kouamé Kan Jacques</creatorcontrib><creatorcontrib>Lagrée, Pierre-Yves</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>European journal of mechanics, B, Fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kouakou, Kouamé Kan Jacques</au><au>Lagrée, Pierre-Yves</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Evolution of a model dune in a shear flow</atitle><jtitle>European journal of mechanics, B, Fluids</jtitle><date>2006-05-01</date><risdate>2006</risdate><volume>25</volume><issue>3</issue><spage>348</spage><epage>359</epage><pages>348-359</pages><issn>0997-7546</issn><eissn>1873-7390</eissn><abstract>We present a simplified model for the displacement of a model dune in a constant viscous shear flow over a non-erodible soil. A simplified linear law with a threshold effect (in shear stress) and saturation is used to link the flux of sediments to the shear stress. The asymptotic framework of “Double Deck” (large Reynolds number laminar flow theory) is used for the flow. This method allows the computation of boundary layer separation, and the flow may be further simplified with an analytical relation linking the dune shape to the skin friction. For a given shape, the asymptotic solutions give a good agreement with Navier Stokes computations. Examples of displacement of model dunes are presented. We then obtain a selfsimilar coupled problem, predicting that the velocity of the dune is proportional to
m
−
1
/
4
. Computations indicate that there is no dune if the mass of the dune is too small, or if the saturation length is too large, or if the threshold is too small.</abstract><cop>Paris</cop><pub>Elsevier Masson SAS</pub><doi>10.1016/j.euromechflu.2005.09.002</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-3931-6622</orcidid></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0997-7546 |
ispartof | European journal of mechanics, B, Fluids, 2006-05, Vol.25 (3), p.348-359 |
issn | 0997-7546 1873-7390 |
language | eng |
recordid | cdi_hal_primary_oai_HAL_hal_01448575v1 |
source | Elsevier ScienceDirect Journals Complete |
subjects | Boundary layer Earth sciences Earth, ocean, space Erosion sedimentation Exact sciences and technology Fluid mechanics Marine and continental quaternary Mechanics Physics Surficial geology Thermics |
title | Evolution of a model dune in a shear flow |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-09T09%3A52%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Evolution%20of%20a%20model%20dune%20in%20a%20shear%20flow&rft.jtitle=European%20journal%20of%20mechanics,%20B,%20Fluids&rft.au=Kouakou,%20Kouam%C3%A9%20Kan%20Jacques&rft.date=2006-05-01&rft.volume=25&rft.issue=3&rft.spage=348&rft.epage=359&rft.pages=348-359&rft.issn=0997-7546&rft.eissn=1873-7390&rft_id=info:doi/10.1016/j.euromechflu.2005.09.002&rft_dat=%3Cproquest_hal_p%3E29733436%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=17161115&rft_id=info:pmid/&rft_els_id=S0997754605000737&rfr_iscdi=true |