Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling
•The Boltzmann kinetic equation by the moment method is solved for the problem of the film boiling on a spherical heating surface.•The analytical expressions for the heat flux is obtained.•The obtained nonlinear relation is transformed into the corresponding flat heating surface formula.•The measure...
Gespeichert in:
| Veröffentlicht in: | International journal of heat and mass transfer 2020-12, Vol.162, p.120306, Article 120306 |
|---|---|
| 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 | |
| container_start_page | 120306 |
| container_title | International journal of heat and mass transfer |
| container_volume | 162 |
| creator | Korolyov, P.V. Kryukov, A.P. Puzina, Yu.Yu |
| description | •The Boltzmann kinetic equation by the moment method is solved for the problem of the film boiling on a spherical heating surface.•The analytical expressions for the heat flux is obtained.•The obtained nonlinear relation is transformed into the corresponding flat heating surface formula.•The measured and calculated data on the thin films thickness are in good agreement.
Special nonlinear relations can determine the heat flux in a film boiling on a spherical heating surface. They are obtained by transforming the system of moment conservation equations derived from the Boltzmann kinetic equation based on a two-sided Maxwellian distribution approximation. We solve the Boltzmann kinetic equation by the moment method elaborating on the approach of L. Lees for describing thermal conductivity through a gas-filled spherical gap between two impermeable interfaces. The obtained analytical expressions for the heat flux can be used for any value of the Knudsen number. |
| doi_str_mv | 10.1016/j.ijheatmasstransfer.2020.120306 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2456879049</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0017931020332427</els_id><sourcerecordid>2456879049</sourcerecordid><originalsourceid>FETCH-LOGICAL-c370t-aeb165b1f5aeaf98f2ce43b1b512865e69bf6c73ec53eb6579406f76d7c82f813</originalsourceid><addsrcrecordid>eNqNkE1OwzAQhS0EEqVwB0ts2KTY-XGSHajiV0VsYG05zridNI1T20Fixx24ISchVWHFhtVo9N68p_kIueBsxhkXl80MmxWosFHeB6c6b8DNYhaPcswSJg7IhBd5GcW8KA_JhDGeR2XC2TE58b7ZrSwVE7J-si3ooVUuWmMHATWtwWuHfUDbUWvoroT-NtCwcnZYrqiivl-BQ61a2uJ2wPrr4_NN9dZR7AI4ozTQ8dBgu6GVxRa75Sk5Mqr1cPYzp-T19uZlfh8tnu8e5teLSCc5C5GCious4iZToExZmFhDmlS8ynhciAxEWRmh8wR0lkAlsrxMmTC5qHNdxKbgyZSc73N7Z7cD-CAbO7hurJRxmomRCkvL0XW1d2lnvXdgZO9wo9y75EzuEMtG_kUsd4jlHvEY8biPgPGbNxxVrxE6DTU60EHWFv8f9g29Z5S9</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2456879049</pqid></control><display><type>article</type><title>Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling</title><source>Access via ScienceDirect (Elsevier)</source><creator>Korolyov, P.V. ; Kryukov, A.P. ; Puzina, Yu.Yu</creator><creatorcontrib>Korolyov, P.V. ; Kryukov, A.P. ; Puzina, Yu.Yu</creatorcontrib><description>•The Boltzmann kinetic equation by the moment method is solved for the problem of the film boiling on a spherical heating surface.•The analytical expressions for the heat flux is obtained.•The obtained nonlinear relation is transformed into the corresponding flat heating surface formula.•The measured and calculated data on the thin films thickness are in good agreement.
Special nonlinear relations can determine the heat flux in a film boiling on a spherical heating surface. They are obtained by transforming the system of moment conservation equations derived from the Boltzmann kinetic equation based on a two-sided Maxwellian distribution approximation. We solve the Boltzmann kinetic equation by the moment method elaborating on the approach of L. Lees for describing thermal conductivity through a gas-filled spherical gap between two impermeable interfaces. The obtained analytical expressions for the heat flux can be used for any value of the Knudsen number.</description><identifier>ISSN: 0017-9310</identifier><identifier>EISSN: 1879-2189</identifier><identifier>DOI: 10.1016/j.ijheatmasstransfer.2020.120306</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Boltzmann kinetic equation ; Conservation equations ; Film boiling ; Heat flux ; Heat transfer ; Kinetic equations ; Mathematical analysis ; Maxwellian distribution ; Superfluid helium ; Thermal conductivity ; Vapor–liquid interface</subject><ispartof>International journal of heat and mass transfer, 2020-12, Vol.162, p.120306, Article 120306</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier BV Dec 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c370t-aeb165b1f5aeaf98f2ce43b1b512865e69bf6c73ec53eb6579406f76d7c82f813</citedby><cites>FETCH-LOGICAL-c370t-aeb165b1f5aeaf98f2ce43b1b512865e69bf6c73ec53eb6579406f76d7c82f813</cites><orcidid>0000-0002-2308-0694 ; 0000-0001-9120-8146</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijheatmasstransfer.2020.120306$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Korolyov, P.V.</creatorcontrib><creatorcontrib>Kryukov, A.P.</creatorcontrib><creatorcontrib>Puzina, Yu.Yu</creatorcontrib><title>Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling</title><title>International journal of heat and mass transfer</title><description>•The Boltzmann kinetic equation by the moment method is solved for the problem of the film boiling on a spherical heating surface.•The analytical expressions for the heat flux is obtained.•The obtained nonlinear relation is transformed into the corresponding flat heating surface formula.•The measured and calculated data on the thin films thickness are in good agreement.
Special nonlinear relations can determine the heat flux in a film boiling on a spherical heating surface. They are obtained by transforming the system of moment conservation equations derived from the Boltzmann kinetic equation based on a two-sided Maxwellian distribution approximation. We solve the Boltzmann kinetic equation by the moment method elaborating on the approach of L. Lees for describing thermal conductivity through a gas-filled spherical gap between two impermeable interfaces. The obtained analytical expressions for the heat flux can be used for any value of the Knudsen number.</description><subject>Boltzmann kinetic equation</subject><subject>Conservation equations</subject><subject>Film boiling</subject><subject>Heat flux</subject><subject>Heat transfer</subject><subject>Kinetic equations</subject><subject>Mathematical analysis</subject><subject>Maxwellian distribution</subject><subject>Superfluid helium</subject><subject>Thermal conductivity</subject><subject>Vapor–liquid interface</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqNkE1OwzAQhS0EEqVwB0ts2KTY-XGSHajiV0VsYG05zridNI1T20Fixx24ISchVWHFhtVo9N68p_kIueBsxhkXl80MmxWosFHeB6c6b8DNYhaPcswSJg7IhBd5GcW8KA_JhDGeR2XC2TE58b7ZrSwVE7J-si3ooVUuWmMHATWtwWuHfUDbUWvoroT-NtCwcnZYrqiivl-BQ61a2uJ2wPrr4_NN9dZR7AI4ozTQ8dBgu6GVxRa75Sk5Mqr1cPYzp-T19uZlfh8tnu8e5teLSCc5C5GCious4iZToExZmFhDmlS8ynhciAxEWRmh8wR0lkAlsrxMmTC5qHNdxKbgyZSc73N7Z7cD-CAbO7hurJRxmomRCkvL0XW1d2lnvXdgZO9wo9y75EzuEMtG_kUsd4jlHvEY8biPgPGbNxxVrxE6DTU60EHWFv8f9g29Z5S9</recordid><startdate>202012</startdate><enddate>202012</enddate><creator>Korolyov, P.V.</creator><creator>Kryukov, A.P.</creator><creator>Puzina, Yu.Yu</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-2308-0694</orcidid><orcidid>https://orcid.org/0000-0001-9120-8146</orcidid></search><sort><creationdate>202012</creationdate><title>Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling</title><author>Korolyov, P.V. ; Kryukov, A.P. ; Puzina, Yu.Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-aeb165b1f5aeaf98f2ce43b1b512865e69bf6c73ec53eb6579406f76d7c82f813</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Boltzmann kinetic equation</topic><topic>Conservation equations</topic><topic>Film boiling</topic><topic>Heat flux</topic><topic>Heat transfer</topic><topic>Kinetic equations</topic><topic>Mathematical analysis</topic><topic>Maxwellian distribution</topic><topic>Superfluid helium</topic><topic>Thermal conductivity</topic><topic>Vapor–liquid interface</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Korolyov, P.V.</creatorcontrib><creatorcontrib>Kryukov, A.P.</creatorcontrib><creatorcontrib>Puzina, Yu.Yu</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering 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><jtitle>International journal of heat and mass transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Korolyov, P.V.</au><au>Kryukov, A.P.</au><au>Puzina, Yu.Yu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling</atitle><jtitle>International journal of heat and mass transfer</jtitle><date>2020-12</date><risdate>2020</risdate><volume>162</volume><spage>120306</spage><pages>120306-</pages><artnum>120306</artnum><issn>0017-9310</issn><eissn>1879-2189</eissn><abstract>•The Boltzmann kinetic equation by the moment method is solved for the problem of the film boiling on a spherical heating surface.•The analytical expressions for the heat flux is obtained.•The obtained nonlinear relation is transformed into the corresponding flat heating surface formula.•The measured and calculated data on the thin films thickness are in good agreement.
Special nonlinear relations can determine the heat flux in a film boiling on a spherical heating surface. They are obtained by transforming the system of moment conservation equations derived from the Boltzmann kinetic equation based on a two-sided Maxwellian distribution approximation. We solve the Boltzmann kinetic equation by the moment method elaborating on the approach of L. Lees for describing thermal conductivity through a gas-filled spherical gap between two impermeable interfaces. The obtained analytical expressions for the heat flux can be used for any value of the Knudsen number.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijheatmasstransfer.2020.120306</doi><orcidid>https://orcid.org/0000-0002-2308-0694</orcidid><orcidid>https://orcid.org/0000-0001-9120-8146</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0017-9310 |
| ispartof | International journal of heat and mass transfer, 2020-12, Vol.162, p.120306, Article 120306 |
| issn | 0017-9310 1879-2189 |
| language | eng |
| recordid | cdi_proquest_journals_2456879049 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | Boltzmann kinetic equation Conservation equations Film boiling Heat flux Heat transfer Kinetic equations Mathematical analysis Maxwellian distribution Superfluid helium Thermal conductivity Vapor–liquid interface |
| title | Molecular-kinetic description of heat transfer through a spherical liquid–vapor interface at film boiling |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-22T12%3A36%3A08IST&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=Molecular-kinetic%20description%20of%20heat%20transfer%20through%20a%20spherical%20liquid%E2%80%93vapor%20interface%20at%20film%20boiling&rft.jtitle=International%20journal%20of%20heat%20and%20mass%20transfer&rft.au=Korolyov,%20P.V.&rft.date=2020-12&rft.volume=162&rft.spage=120306&rft.pages=120306-&rft.artnum=120306&rft.issn=0017-9310&rft.eissn=1879-2189&rft_id=info:doi/10.1016/j.ijheatmasstransfer.2020.120306&rft_dat=%3Cproquest_cross%3E2456879049%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=2456879049&rft_id=info:pmid/&rft_els_id=S0017931020332427&rfr_iscdi=true |