The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity
In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unifie...
Gespeichert in:
| Veröffentlicht in: | Transport in porous media 2016-01, Vol.111 (2), p.287-304 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 304 |
|---|---|
| container_issue | 2 |
| container_start_page | 287 |
| container_title | Transport in porous media |
| container_volume | 111 |
| creator | Ahmad, Syakila Rees, D. Andrew S. |
| description | In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unified theory is presented which combines both these cases, and the stability properties of the overall system is found to undergo a full transition from that of the classical Darcy–Bénard problem to that of the degenerate system studied in detail by Rees and Tyvand (J Eng Math 49:181–193,
2004
). |
| doi_str_mv | 10.1007/s11242-015-0594-6 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1808061763</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2344541023</sourcerecordid><originalsourceid>FETCH-LOGICAL-c419t-5dce844ad6db45e3d1c1a85148c135565693b96bf4cec45e9de89f338e5420a63</originalsourceid><addsrcrecordid>eNp10F1LwzAYBeAgCs7pD_Au4I030bzNx5pLGfMDBhs4r0OWprOjS2bTTvbvTakiCF4FwnNeDgeha6B3QOnkPgJkPCMUBKFCcSJP0AjEhBGQjJ-iEQWpCFPAztFFjFtKUyrnI7RcvTs8K0tnWxxKPA2-6Gxb-Q1-rQr3aeo64uBxm9TCR_eDDslX6b_y2OBlaEIX8dQcqvZ4ic5KU0d39f2O0dvjbDV9JvPF08v0YU4sB9USUViXc24KWay5cKwACyYXwHMLTAgppGJrJdclt84moAqXq5Kx3AmeUSPZGN0Od_dN-OhcbPWuitbVtfEutdGQ05xKmEiW6M0fug1d41M7nTHOBQea9QoGZZsQY-NKvW-qnWmOGqjuN9bDxjptrPuNdV8iGzIxWb9xze_l_0Nf_xZ85A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2344541023</pqid></control><display><type>article</type><title>The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity</title><source>SpringerLink Journals - AutoHoldings</source><creator>Ahmad, Syakila ; Rees, D. Andrew S.</creator><creatorcontrib>Ahmad, Syakila ; Rees, D. Andrew S.</creatorcontrib><description>In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unified theory is presented which combines both these cases, and the stability properties of the overall system is found to undergo a full transition from that of the classical Darcy–Bénard problem to that of the degenerate system studied in detail by Rees and Tyvand (J Eng Math 49:181–193,
2004
).</description><identifier>ISSN: 0169-3913</identifier><identifier>EISSN: 1573-1634</identifier><identifier>DOI: 10.1007/s11242-015-0594-6</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Boundaries ; Civil Engineering ; Classical and Continuum Physics ; Conduction ; Convection ; Earth and Environmental Science ; Earth Sciences ; Geotechnical Engineering & Applied Earth Sciences ; Holes ; Hydrogeology ; Hydrology/Water Resources ; Industrial Chemistry/Chemical Engineering ; Mathematical analysis ; Porous media ; Transport ; Two dimensional</subject><ispartof>Transport in porous media, 2016-01, Vol.111 (2), p.287-304</ispartof><rights>Springer Science+Business Media Dordrecht 2015</rights><rights>Transport in Porous Media is a copyright of Springer, (2015). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c419t-5dce844ad6db45e3d1c1a85148c135565693b96bf4cec45e9de89f338e5420a63</citedby><cites>FETCH-LOGICAL-c419t-5dce844ad6db45e3d1c1a85148c135565693b96bf4cec45e9de89f338e5420a63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11242-015-0594-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11242-015-0594-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Ahmad, Syakila</creatorcontrib><creatorcontrib>Rees, D. Andrew S.</creatorcontrib><title>The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity</title><title>Transport in porous media</title><addtitle>Transp Porous Med</addtitle><description>In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unified theory is presented which combines both these cases, and the stability properties of the overall system is found to undergo a full transition from that of the classical Darcy–Bénard problem to that of the degenerate system studied in detail by Rees and Tyvand (J Eng Math 49:181–193,
2004
).</description><subject>Boundaries</subject><subject>Civil Engineering</subject><subject>Classical and Continuum Physics</subject><subject>Conduction</subject><subject>Convection</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Geotechnical Engineering & Applied Earth Sciences</subject><subject>Holes</subject><subject>Hydrogeology</subject><subject>Hydrology/Water Resources</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Mathematical analysis</subject><subject>Porous media</subject><subject>Transport</subject><subject>Two dimensional</subject><issn>0169-3913</issn><issn>1573-1634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp10F1LwzAYBeAgCs7pD_Au4I030bzNx5pLGfMDBhs4r0OWprOjS2bTTvbvTakiCF4FwnNeDgeha6B3QOnkPgJkPCMUBKFCcSJP0AjEhBGQjJ-iEQWpCFPAztFFjFtKUyrnI7RcvTs8K0tnWxxKPA2-6Gxb-Q1-rQr3aeo64uBxm9TCR_eDDslX6b_y2OBlaEIX8dQcqvZ4ic5KU0d39f2O0dvjbDV9JvPF08v0YU4sB9USUViXc24KWay5cKwACyYXwHMLTAgppGJrJdclt84moAqXq5Kx3AmeUSPZGN0Od_dN-OhcbPWuitbVtfEutdGQ05xKmEiW6M0fug1d41M7nTHOBQea9QoGZZsQY-NKvW-qnWmOGqjuN9bDxjptrPuNdV8iGzIxWb9xze_l_0Nf_xZ85A</recordid><startdate>20160101</startdate><enddate>20160101</enddate><creator>Ahmad, Syakila</creator><creator>Rees, D. Andrew S.</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20160101</creationdate><title>The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity</title><author>Ahmad, Syakila ; Rees, D. Andrew S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c419t-5dce844ad6db45e3d1c1a85148c135565693b96bf4cec45e9de89f338e5420a63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Boundaries</topic><topic>Civil Engineering</topic><topic>Classical and Continuum Physics</topic><topic>Conduction</topic><topic>Convection</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Geotechnical Engineering & Applied Earth Sciences</topic><topic>Holes</topic><topic>Hydrogeology</topic><topic>Hydrology/Water Resources</topic><topic>Industrial Chemistry/Chemical Engineering</topic><topic>Mathematical analysis</topic><topic>Porous media</topic><topic>Transport</topic><topic>Two dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ahmad, Syakila</creatorcontrib><creatorcontrib>Rees, D. Andrew S.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Transport in porous media</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ahmad, Syakila</au><au>Rees, D. Andrew S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity</atitle><jtitle>Transport in porous media</jtitle><stitle>Transp Porous Med</stitle><date>2016-01-01</date><risdate>2016</risdate><volume>111</volume><issue>2</issue><spage>287</spage><epage>304</epage><pages>287-304</pages><issn>0169-3913</issn><eissn>1573-1634</eissn><abstract>In this short paper we consider the effect of the presence of conducting sidewalls of finite thickness on the onset of convection in a two-dimensional porous cavity. Two cases are considered where the outer boundaries of the sidewalls are either perfectly insulating or perfectly conducting. A unified theory is presented which combines both these cases, and the stability properties of the overall system is found to undergo a full transition from that of the classical Darcy–Bénard problem to that of the degenerate system studied in detail by Rees and Tyvand (J Eng Math 49:181–193,
2004
).</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11242-015-0594-6</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0169-3913 |
| ispartof | Transport in porous media, 2016-01, Vol.111 (2), p.287-304 |
| issn | 0169-3913 1573-1634 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1808061763 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Boundaries Civil Engineering Classical and Continuum Physics Conduction Convection Earth and Environmental Science Earth Sciences Geotechnical Engineering & Applied Earth Sciences Holes Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Mathematical analysis Porous media Transport Two dimensional |
| title | The Effect of Conducting Sidewalls on the Onset of Convection in a Porous Cavity |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T00%3A55%3A43IST&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=The%20Effect%20of%20Conducting%20Sidewalls%20on%20the%20Onset%20of%20Convection%20in%20a%20Porous%20Cavity&rft.jtitle=Transport%20in%20porous%20media&rft.au=Ahmad,%20Syakila&rft.date=2016-01-01&rft.volume=111&rft.issue=2&rft.spage=287&rft.epage=304&rft.pages=287-304&rft.issn=0169-3913&rft.eissn=1573-1634&rft_id=info:doi/10.1007/s11242-015-0594-6&rft_dat=%3Cproquest_cross%3E2344541023%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2344541023&rft_id=info:pmid/&rfr_iscdi=true |