Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium
The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Land...
Gespeichert in:
| Veröffentlicht in: | Transport in porous media 2012-04, Vol.92 (3), p.633-647 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 647 |
|---|---|
| container_issue | 3 |
| container_start_page | 633 |
| container_title | Transport in porous media |
| container_volume | 92 |
| creator | Bhadauria, B. S. Siddheshwar, P. G. Kumar, Jogendra Suthar, Om P. |
| description | The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically. |
| doi_str_mv | 10.1007/s11242-011-9925-4 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2258153653</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2258153653</sourcerecordid><originalsourceid>FETCH-LOGICAL-c346t-34dd439c755073e695a73ab6e3f5ff321203811bfed09b362e7bb45d89a56c653</originalsourceid><addsrcrecordid>eNp1kE1uFDEQha0IpAyBA7CzFLE08X-Pl2FEQqQEUAhiaVV3uycOPfZgd0fqXbZZc4qcIzfJSXBrIlixKqnqe0_1HkJvGX3PKK2OMmNcckIZI8ZwReQeWjBVCcK0kC_QgjJtiDBM7KNXOd9QWlRLuUD3Pxz87Cf8OYbeBwcJfxug9r0fJnwcoJ-yzzh2-Mptti7BMCZ3dJrgttzJRWzHHgbXzprBxwBpwpcw9c6vr5_ufn94fCirFq9iuHXNDGAfMODLOONhjb_GFMeML1zrx81r9LKDPrs3z_MAfT_5eLX6RM6_nJ6tjs9JI6QeiJBtK4VpKqVoJZw2CioBtXaiU10nOONULBmrO9dSUwvNXVXXUrVLA0o3WokDdLjz3ab4a3R5sDdxTCVqtpyrJVOiQIViO6pJMefkOrtNflMCWkbt3LjdNW5L43Zu3MqieffsDLmBvksQGp__CrnS1Ohq_oDvuFxOYe3Svw_-b_4Hu5eUAg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2258153653</pqid></control><display><type>article</type><title>Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium</title><source>SpringerLink Journals - AutoHoldings</source><creator>Bhadauria, B. S. ; Siddheshwar, P. G. ; Kumar, Jogendra ; Suthar, Om P.</creator><creatorcontrib>Bhadauria, B. S. ; Siddheshwar, P. G. ; Kumar, Jogendra ; Suthar, Om P.</creatorcontrib><description>The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically.</description><identifier>ISSN: 0169-3913</identifier><identifier>EISSN: 1573-1634</identifier><identifier>DOI: 10.1007/s11242-011-9925-4</identifier><identifier>CODEN: TPMEEI</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Civil Engineering ; Classical and Continuum Physics ; Convection modes ; Earth and Environmental Science ; Earth Sciences ; Earth, ocean, space ; Exact sciences and technology ; Geotechnical Engineering & Applied Earth Sciences ; Gravitation ; Hydrogeology ; Hydrology. Hydrogeology ; Hydrology/Water Resources ; Industrial Chemistry/Chemical Engineering ; Landau-Ginzburg equations ; Modulation ; Nonlinear analysis ; Porous media ; Power series ; Rotating fluids ; Rotation ; Stability analysis ; Stabilization ; Temperature effects ; Thermal instability ; Transport</subject><ispartof>Transport in porous media, 2012-04, Vol.92 (3), p.633-647</ispartof><rights>Springer Science+Business Media B.V. 2011</rights><rights>2015 INIST-CNRS</rights><rights>Transport in Porous Media is a copyright of Springer, (2011). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c346t-34dd439c755073e695a73ab6e3f5ff321203811bfed09b362e7bb45d89a56c653</citedby><cites>FETCH-LOGICAL-c346t-34dd439c755073e695a73ab6e3f5ff321203811bfed09b362e7bb45d89a56c653</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/s11242-011-9925-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11242-011-9925-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25609675$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Bhadauria, B. S.</creatorcontrib><creatorcontrib>Siddheshwar, P. G.</creatorcontrib><creatorcontrib>Kumar, Jogendra</creatorcontrib><creatorcontrib>Suthar, Om P.</creatorcontrib><title>Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium</title><title>Transport in porous media</title><addtitle>Transp Porous Med</addtitle><description>The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically.</description><subject>Civil Engineering</subject><subject>Classical and Continuum Physics</subject><subject>Convection modes</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Geotechnical Engineering & Applied Earth Sciences</subject><subject>Gravitation</subject><subject>Hydrogeology</subject><subject>Hydrology. Hydrogeology</subject><subject>Hydrology/Water Resources</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Landau-Ginzburg equations</subject><subject>Modulation</subject><subject>Nonlinear analysis</subject><subject>Porous media</subject><subject>Power series</subject><subject>Rotating fluids</subject><subject>Rotation</subject><subject>Stability analysis</subject><subject>Stabilization</subject><subject>Temperature effects</subject><subject>Thermal instability</subject><subject>Transport</subject><issn>0169-3913</issn><issn>1573-1634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kE1uFDEQha0IpAyBA7CzFLE08X-Pl2FEQqQEUAhiaVV3uycOPfZgd0fqXbZZc4qcIzfJSXBrIlixKqnqe0_1HkJvGX3PKK2OMmNcckIZI8ZwReQeWjBVCcK0kC_QgjJtiDBM7KNXOd9QWlRLuUD3Pxz87Cf8OYbeBwcJfxug9r0fJnwcoJ-yzzh2-Mptti7BMCZ3dJrgttzJRWzHHgbXzprBxwBpwpcw9c6vr5_ufn94fCirFq9iuHXNDGAfMODLOONhjb_GFMeML1zrx81r9LKDPrs3z_MAfT_5eLX6RM6_nJ6tjs9JI6QeiJBtK4VpKqVoJZw2CioBtXaiU10nOONULBmrO9dSUwvNXVXXUrVLA0o3WokDdLjz3ab4a3R5sDdxTCVqtpyrJVOiQIViO6pJMefkOrtNflMCWkbt3LjdNW5L43Zu3MqieffsDLmBvksQGp__CrnS1Ohq_oDvuFxOYe3Svw_-b_4Hu5eUAg</recordid><startdate>20120401</startdate><enddate>20120401</enddate><creator>Bhadauria, B. S.</creator><creator>Siddheshwar, P. G.</creator><creator>Kumar, Jogendra</creator><creator>Suthar, Om P.</creator><general>Springer Netherlands</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><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></search><sort><creationdate>20120401</creationdate><title>Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium</title><author>Bhadauria, B. S. ; Siddheshwar, P. G. ; Kumar, Jogendra ; Suthar, Om P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c346t-34dd439c755073e695a73ab6e3f5ff321203811bfed09b362e7bb45d89a56c653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Civil Engineering</topic><topic>Classical and Continuum Physics</topic><topic>Convection modes</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Geotechnical Engineering & Applied Earth Sciences</topic><topic>Gravitation</topic><topic>Hydrogeology</topic><topic>Hydrology. Hydrogeology</topic><topic>Hydrology/Water Resources</topic><topic>Industrial Chemistry/Chemical Engineering</topic><topic>Landau-Ginzburg equations</topic><topic>Modulation</topic><topic>Nonlinear analysis</topic><topic>Porous media</topic><topic>Power series</topic><topic>Rotating fluids</topic><topic>Rotation</topic><topic>Stability analysis</topic><topic>Stabilization</topic><topic>Temperature effects</topic><topic>Thermal instability</topic><topic>Transport</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bhadauria, B. S.</creatorcontrib><creatorcontrib>Siddheshwar, P. G.</creatorcontrib><creatorcontrib>Kumar, Jogendra</creatorcontrib><creatorcontrib>Suthar, Om P.</creatorcontrib><collection>Pascal-Francis</collection><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><jtitle>Transport in porous media</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bhadauria, B. S.</au><au>Siddheshwar, P. G.</au><au>Kumar, Jogendra</au><au>Suthar, Om P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium</atitle><jtitle>Transport in porous media</jtitle><stitle>Transp Porous Med</stitle><date>2012-04-01</date><risdate>2012</risdate><volume>92</volume><issue>3</issue><spage>633</spage><epage>647</epage><pages>633-647</pages><issn>0169-3913</issn><eissn>1573-1634</eissn><coden>TPMEEI</coden><abstract>The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11242-011-9925-4</doi><tpages>15</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0169-3913 |
| ispartof | Transport in porous media, 2012-04, Vol.92 (3), p.633-647 |
| issn | 0169-3913 1573-1634 |
| language | eng |
| recordid | cdi_proquest_journals_2258153653 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Civil Engineering Classical and Continuum Physics Convection modes Earth and Environmental Science Earth Sciences Earth, ocean, space Exact sciences and technology Geotechnical Engineering & Applied Earth Sciences Gravitation Hydrogeology Hydrology. Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Landau-Ginzburg equations Modulation Nonlinear analysis Porous media Power series Rotating fluids Rotation Stability analysis Stabilization Temperature effects Thermal instability Transport |
| title | Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-05T00%3A17%3A47IST&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=Weakly%20Nonlinear%20Stability%20Analysis%20of%20Temperature/Gravity-Modulated%20Stationary%20Rayleigh%E2%80%93B%C3%A9nard%20Convection%20in%20a%20Rotating%20Porous%20Medium&rft.jtitle=Transport%20in%20porous%20media&rft.au=Bhadauria,%20B.%20S.&rft.date=2012-04-01&rft.volume=92&rft.issue=3&rft.spage=633&rft.epage=647&rft.pages=633-647&rft.issn=0169-3913&rft.eissn=1573-1634&rft.coden=TPMEEI&rft_id=info:doi/10.1007/s11242-011-9925-4&rft_dat=%3Cproquest_cross%3E2258153653%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=2258153653&rft_id=info:pmid/&rfr_iscdi=true |