On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow
In this paper, we study the back-flow problem of boundary layers in two-dimensional unsteady incompressible heat conducting flow. For a kind of monotonic initial and incoming flow, we prove that the first critical point of the tangential velocity profile with respect to the normal variable, if exist...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical physics 2022-08, Vol.63 (8) |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 8 |
| container_start_page | |
| container_title | Journal of mathematical physics |
| container_volume | 63 |
| creator | Wang, Ya-Guang Zhu, Shi-Yong |
| description | In this paper, we study the back-flow problem of boundary layers in two-dimensional unsteady incompressible heat conducting flow. For a kind of monotonic initial and incoming flow, we prove that the first critical point of the tangential velocity profile with respect to the normal variable, if exists, must appear on the boundary if the pressure gradient and temperature in the data are suitable. This critical point is the back-flow point. Moreover, we give a condition on the growth rate of the initial tangential velocity such that there is a back-flow point in the boundary layer. |
| doi_str_mv | 10.1063/5.0088618 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_scitation_primary_10_1063_5_0088618</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2705879737</sourcerecordid><originalsourceid>FETCH-LOGICAL-c292t-f0995736d1d49b2fd3d82f55abb86d6f806484f62b3daae3c52e5ad081e923563</originalsourceid><addsrcrecordid>eNp9kEtLAzEAhIMoWKsH_0HAk8LWPDbZ5CjFFxR60XPI5qFbt0lNspT99662Z09zmI9hZgC4xmiBEaf3bIGQEByLEzDDSMiq4UycghlChFSkFuIcXOS8QQhjUdczoNYBttp8Qd_HPYwetnEIVqcR9np0KcMuwLKPle22LuQuBt3DIeTitB0nz8TtLrmcu7Z38NPpAk0MdjClCx9_kZfgzOs-u6ujzsH70-Pb8qVarZ9flw-ryhBJSuWRlKyh3GJby5Z4S60gnjHdtoJb7gXitag9Jy21WjtqGHFMWySwk4QyTufg5pC7S_F7cLmoTRzS1DYr0iAmGtnQZqJuD5RJMefkvNqlbjutVRip3_8UU8f_JvbuwGbTFV2m6f_AP5C4cHA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2705879737</pqid></control><display><type>article</type><title>On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow</title><source>AIP Journals Complete</source><source>Alma/SFX Local Collection</source><creator>Wang, Ya-Guang ; Zhu, Shi-Yong</creator><creatorcontrib>Wang, Ya-Guang ; Zhu, Shi-Yong</creatorcontrib><description>In this paper, we study the back-flow problem of boundary layers in two-dimensional unsteady incompressible heat conducting flow. For a kind of monotonic initial and incoming flow, we prove that the first critical point of the tangential velocity profile with respect to the normal variable, if exists, must appear on the boundary if the pressure gradient and temperature in the data are suitable. This critical point is the back-flow point. Moreover, we give a condition on the growth rate of the initial tangential velocity such that there is a back-flow point in the boundary layer.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/5.0088618</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>New York: American Institute of Physics</publisher><subject>Critical point ; Fluid flow ; Heat transfer ; Heat transmission ; Incompressible flow ; Physics ; Two dimensional boundary layer ; Velocity distribution</subject><ispartof>Journal of mathematical physics, 2022-08, Vol.63 (8)</ispartof><rights>Author(s)</rights><rights>2022 Author(s). Published under an exclusive license by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c292t-f0995736d1d49b2fd3d82f55abb86d6f806484f62b3daae3c52e5ad081e923563</citedby><cites>FETCH-LOGICAL-c292t-f0995736d1d49b2fd3d82f55abb86d6f806484f62b3daae3c52e5ad081e923563</cites><orcidid>0000-0002-9873-041X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/5.0088618$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,784,794,4510,27922,27923,76154</link.rule.ids></links><search><creatorcontrib>Wang, Ya-Guang</creatorcontrib><creatorcontrib>Zhu, Shi-Yong</creatorcontrib><title>On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow</title><title>Journal of mathematical physics</title><description>In this paper, we study the back-flow problem of boundary layers in two-dimensional unsteady incompressible heat conducting flow. For a kind of monotonic initial and incoming flow, we prove that the first critical point of the tangential velocity profile with respect to the normal variable, if exists, must appear on the boundary if the pressure gradient and temperature in the data are suitable. This critical point is the back-flow point. Moreover, we give a condition on the growth rate of the initial tangential velocity such that there is a back-flow point in the boundary layer.</description><subject>Critical point</subject><subject>Fluid flow</subject><subject>Heat transfer</subject><subject>Heat transmission</subject><subject>Incompressible flow</subject><subject>Physics</subject><subject>Two dimensional boundary layer</subject><subject>Velocity distribution</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEAhIMoWKsH_0HAk8LWPDbZ5CjFFxR60XPI5qFbt0lNspT99662Z09zmI9hZgC4xmiBEaf3bIGQEByLEzDDSMiq4UycghlChFSkFuIcXOS8QQhjUdczoNYBttp8Qd_HPYwetnEIVqcR9np0KcMuwLKPle22LuQuBt3DIeTitB0nz8TtLrmcu7Z38NPpAk0MdjClCx9_kZfgzOs-u6ujzsH70-Pb8qVarZ9flw-ryhBJSuWRlKyh3GJby5Z4S60gnjHdtoJb7gXitag9Jy21WjtqGHFMWySwk4QyTufg5pC7S_F7cLmoTRzS1DYr0iAmGtnQZqJuD5RJMefkvNqlbjutVRip3_8UU8f_JvbuwGbTFV2m6f_AP5C4cHA</recordid><startdate>20220801</startdate><enddate>20220801</enddate><creator>Wang, Ya-Guang</creator><creator>Zhu, Shi-Yong</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-9873-041X</orcidid></search><sort><creationdate>20220801</creationdate><title>On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow</title><author>Wang, Ya-Guang ; Zhu, Shi-Yong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-f0995736d1d49b2fd3d82f55abb86d6f806484f62b3daae3c52e5ad081e923563</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Critical point</topic><topic>Fluid flow</topic><topic>Heat transfer</topic><topic>Heat transmission</topic><topic>Incompressible flow</topic><topic>Physics</topic><topic>Two dimensional boundary layer</topic><topic>Velocity distribution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Ya-Guang</creatorcontrib><creatorcontrib>Zhu, Shi-Yong</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Ya-Guang</au><au>Zhu, Shi-Yong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow</atitle><jtitle>Journal of mathematical physics</jtitle><date>2022-08-01</date><risdate>2022</risdate><volume>63</volume><issue>8</issue><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>In this paper, we study the back-flow problem of boundary layers in two-dimensional unsteady incompressible heat conducting flow. For a kind of monotonic initial and incoming flow, we prove that the first critical point of the tangential velocity profile with respect to the normal variable, if exists, must appear on the boundary if the pressure gradient and temperature in the data are suitable. This critical point is the back-flow point. Moreover, we give a condition on the growth rate of the initial tangential velocity such that there is a back-flow point in the boundary layer.</abstract><cop>New York</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0088618</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-9873-041X</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2022-08, Vol.63 (8) |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_5_0088618 |
| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Critical point Fluid flow Heat transfer Heat transmission Incompressible flow Physics Two dimensional boundary layer Velocity distribution |
| title | On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T23%3A00%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_scita&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20back%20flow%20of%20boundary%20layers%20in%20two-dimensional%20unsteady%20incompressible%20heat%20conducting%20flow&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=Wang,%20Ya-Guang&rft.date=2022-08-01&rft.volume=63&rft.issue=8&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/5.0088618&rft_dat=%3Cproquest_scita%3E2705879737%3C/proquest_scita%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2705879737&rft_id=info:pmid/&rfr_iscdi=true |