Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field
A cylindrical thin liquid metal layer is submitted to a uniform ac magnetic field. When the intensity of the electromagnetic field exceeds a critical value, an opening in the liquid is shaped from outside to inside. At a given intensity of the electromagnetic field, this opening is in a frozen state...
Gespeichert in:
| Veröffentlicht in: | Journal of physics. D, Applied physics Applied physics, 2006-07, Vol.39 (13), p.2641-2646 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2646 |
|---|---|
| container_issue | 13 |
| container_start_page | 2641 |
| container_title | Journal of physics. D, Applied physics |
| container_volume | 39 |
| creator | Hinaje, M Vinsard, G Dufour, S |
| description | A cylindrical thin liquid metal layer is submitted to a uniform ac magnetic field. When the intensity of the electromagnetic field exceeds a critical value, an opening in the liquid is shaped from outside to inside. At a given intensity of the electromagnetic field, this opening is in a frozen state, that is, the liquid metal layer reaches a new equilibrium shape. In this paper, we show that this equilibrium corresponds to a minimum of the total energy of the system. This total energy is equal to the sum of the magnetic energy and the mechanical energy. The magnetic energy is computed by assuming that the induced eddy current flowing through the liquid metal layer is concentrated in the cross-section Sc equal to the product of the skin depth and the thickness of the layer. This assumption leads us to study an equivalent electrical circuit. |
| doi_str_mv | 10.1088/0022-3727/39/13/001 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_pasca</sourceid><recordid>TN_cdi_pascalfrancis_primary_17908980</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>29414165</sourcerecordid><originalsourceid>FETCH-LOGICAL-c418t-f70b88a4aa0400f3f038128d9c83ba4e3c97f7a4c25d00744099fc42bcb5d4713</originalsourceid><addsrcrecordid>eNp9kE1r3DAQhkVIIZuPX5CLLgm04OzIki3puIS0KSz0kOYsxrK0UZDtjeUt7L-vzC7bQ0tPYjTPPMy8hNwyeGCg1BKgLAsuS7nkesl4rtkZWTBes6IWNT8nixNxQS5TegeAqlZsQV5WPcb9FCxG2g2tizH0Gzp4inR6Cz2N4WMXWtq5KQMR926kadd0YZpcS6eBYk_R0g43vcsS6oOL7TX55DEmd3N8r8jr16efj8_F-se374-rdWEFU1PhJTRKoUAEAeC5B65YqVptFW9QOG619BKFLasWQAoBWnsrysY2VSsk41fk88H7htFsx9DhuDcDBvO8Wpv5L1-pS13JXzN7f2C34_Cxc2kyXUg2n4u9G3bJlFowweoqg_wA2nFIaXT-ZGZg5rDNHKWZozRcG8ZzPevvjnpMOUo_Ym9D-jMqNSitIHNfDlwYtqfuP4Rm2_oMP_wN_2-L30CJl_M</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>29414165</pqid></control><display><type>article</type><title>Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><creator>Hinaje, M ; Vinsard, G ; Dufour, S</creator><creatorcontrib>Hinaje, M ; Vinsard, G ; Dufour, S</creatorcontrib><description>A cylindrical thin liquid metal layer is submitted to a uniform ac magnetic field. When the intensity of the electromagnetic field exceeds a critical value, an opening in the liquid is shaped from outside to inside. At a given intensity of the electromagnetic field, this opening is in a frozen state, that is, the liquid metal layer reaches a new equilibrium shape. In this paper, we show that this equilibrium corresponds to a minimum of the total energy of the system. This total energy is equal to the sum of the magnetic energy and the mechanical energy. The magnetic energy is computed by assuming that the induced eddy current flowing through the liquid metal layer is concentrated in the cross-section Sc equal to the product of the skin depth and the thickness of the layer. This assumption leads us to study an equivalent electrical circuit.</description><identifier>ISSN: 0022-3727</identifier><identifier>EISSN: 1361-6463</identifier><identifier>DOI: 10.1088/0022-3727/39/13/001</identifier><identifier>CODEN: JPAPBE</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Condensed matter: structure, mechanical and thermal properties ; Electromagnetism ; Engineering Sciences ; Exact sciences and technology ; Liquid thin films ; Physics ; Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</subject><ispartof>Journal of physics. D, Applied physics, 2006-07, Vol.39 (13), p.2641-2646</ispartof><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-c418t-f70b88a4aa0400f3f038128d9c83ba4e3c97f7a4c25d00744099fc42bcb5d4713</citedby><cites>FETCH-LOGICAL-c418t-f70b88a4aa0400f3f038128d9c83ba4e3c97f7a4c25d00744099fc42bcb5d4713</cites><orcidid>0000-0001-8372-4677 ; 0000-0001-5255-2702</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/0022-3727/39/13/001/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>230,314,778,782,883,27907,27908,53813,53893</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=17908980$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00092957$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Hinaje, M</creatorcontrib><creatorcontrib>Vinsard, G</creatorcontrib><creatorcontrib>Dufour, S</creatorcontrib><title>Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field</title><title>Journal of physics. D, Applied physics</title><description>A cylindrical thin liquid metal layer is submitted to a uniform ac magnetic field. When the intensity of the electromagnetic field exceeds a critical value, an opening in the liquid is shaped from outside to inside. At a given intensity of the electromagnetic field, this opening is in a frozen state, that is, the liquid metal layer reaches a new equilibrium shape. In this paper, we show that this equilibrium corresponds to a minimum of the total energy of the system. This total energy is equal to the sum of the magnetic energy and the mechanical energy. The magnetic energy is computed by assuming that the induced eddy current flowing through the liquid metal layer is concentrated in the cross-section Sc equal to the product of the skin depth and the thickness of the layer. This assumption leads us to study an equivalent electrical circuit.</description><subject>Condensed matter: structure, mechanical and thermal properties</subject><subject>Electromagnetism</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Liquid thin films</subject><subject>Physics</subject><subject>Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</subject><issn>0022-3727</issn><issn>1361-6463</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNp9kE1r3DAQhkVIIZuPX5CLLgm04OzIki3puIS0KSz0kOYsxrK0UZDtjeUt7L-vzC7bQ0tPYjTPPMy8hNwyeGCg1BKgLAsuS7nkesl4rtkZWTBes6IWNT8nixNxQS5TegeAqlZsQV5WPcb9FCxG2g2tizH0Gzp4inR6Cz2N4WMXWtq5KQMR926kadd0YZpcS6eBYk_R0g43vcsS6oOL7TX55DEmd3N8r8jr16efj8_F-se374-rdWEFU1PhJTRKoUAEAeC5B65YqVptFW9QOG619BKFLasWQAoBWnsrysY2VSsk41fk88H7htFsx9DhuDcDBvO8Wpv5L1-pS13JXzN7f2C34_Cxc2kyXUg2n4u9G3bJlFowweoqg_wA2nFIaXT-ZGZg5rDNHKWZozRcG8ZzPevvjnpMOUo_Ym9D-jMqNSitIHNfDlwYtqfuP4Rm2_oMP_wN_2-L30CJl_M</recordid><startdate>20060707</startdate><enddate>20060707</enddate><creator>Hinaje, M</creator><creator>Vinsard, G</creator><creator>Dufour, S</creator><general>IOP Publishing</general><general>Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0001-8372-4677</orcidid><orcidid>https://orcid.org/0000-0001-5255-2702</orcidid></search><sort><creationdate>20060707</creationdate><title>Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field</title><author>Hinaje, M ; Vinsard, G ; Dufour, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c418t-f70b88a4aa0400f3f038128d9c83ba4e3c97f7a4c25d00744099fc42bcb5d4713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Condensed matter: structure, mechanical and thermal properties</topic><topic>Electromagnetism</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Liquid thin films</topic><topic>Physics</topic><topic>Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hinaje, M</creatorcontrib><creatorcontrib>Vinsard, G</creatorcontrib><creatorcontrib>Dufour, S</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of physics. D, Applied physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hinaje, M</au><au>Vinsard, G</au><au>Dufour, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field</atitle><jtitle>Journal of physics. D, Applied physics</jtitle><date>2006-07-07</date><risdate>2006</risdate><volume>39</volume><issue>13</issue><spage>2641</spage><epage>2646</epage><pages>2641-2646</pages><issn>0022-3727</issn><eissn>1361-6463</eissn><coden>JPAPBE</coden><abstract>A cylindrical thin liquid metal layer is submitted to a uniform ac magnetic field. When the intensity of the electromagnetic field exceeds a critical value, an opening in the liquid is shaped from outside to inside. At a given intensity of the electromagnetic field, this opening is in a frozen state, that is, the liquid metal layer reaches a new equilibrium shape. In this paper, we show that this equilibrium corresponds to a minimum of the total energy of the system. This total energy is equal to the sum of the magnetic energy and the mechanical energy. The magnetic energy is computed by assuming that the induced eddy current flowing through the liquid metal layer is concentrated in the cross-section Sc equal to the product of the skin depth and the thickness of the layer. This assumption leads us to study an equivalent electrical circuit.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><doi>10.1088/0022-3727/39/13/001</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0001-8372-4677</orcidid><orcidid>https://orcid.org/0000-0001-5255-2702</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-3727 |
| ispartof | Journal of physics. D, Applied physics, 2006-07, Vol.39 (13), p.2641-2646 |
| issn | 0022-3727 1361-6463 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_17908980 |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Condensed matter: structure, mechanical and thermal properties Electromagnetism Engineering Sciences Exact sciences and technology Liquid thin films Physics Surfaces and interfaces thin films and whiskers (structure and nonelectronic properties) |
| title | Analytical modelling of a thin liquid metal layer submitted to an ac magnetic field |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T20%3A03%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pasca&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analytical%20modelling%20of%20a%20thin%20liquid%20metal%20layer%20submitted%20to%20an%20ac%20magnetic%20field&rft.jtitle=Journal%20of%20physics.%20D,%20Applied%20physics&rft.au=Hinaje,%20M&rft.date=2006-07-07&rft.volume=39&rft.issue=13&rft.spage=2641&rft.epage=2646&rft.pages=2641-2646&rft.issn=0022-3727&rft.eissn=1361-6463&rft.coden=JPAPBE&rft_id=info:doi/10.1088/0022-3727/39/13/001&rft_dat=%3Cproquest_pasca%3E29414165%3C/proquest_pasca%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=29414165&rft_id=info:pmid/&rfr_iscdi=true |