A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model
A flow of liquid GaInSn, which has been investigated experimentally in a companion article, [1] is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to peri...
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Veröffentlicht in: | Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science 2009-02, Vol.40 (1), p.104-113 |
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creator | Wang, Xiaodong Moreau, Rene Etay, Jacqueline Fautrelle, Yves |
description | A flow of liquid GaInSn, which has been investigated experimentally in a companion article,
[1]
is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to periodically reverse its circulation such that macrosegregation is minimized. First, we present an analytical derivation of the electromagnetic force, exhibiting its space and time variations, which are essentially legitimate in the central part of the fluid domain. A model for the recirculating fluid flow is also derived, assuming that in this central region the flow is quasiparallel to the main axis. The narrowness of the fluid domain must be taken into account, to achieve a satisfactory agreement with the measurements. |
doi_str_mv | 10.1007/s11663-008-9210-2 |
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[1]
is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to periodically reverse its circulation such that macrosegregation is minimized. First, we present an analytical derivation of the electromagnetic force, exhibiting its space and time variations, which are essentially legitimate in the central part of the fluid domain. A model for the recirculating fluid flow is also derived, assuming that in this central region the flow is quasiparallel to the main axis. The narrowness of the fluid domain must be taken into account, to achieve a satisfactory agreement with the measurements.</description><identifier>ISSN: 1073-5615</identifier><identifier>EISSN: 1543-1916</identifier><identifier>DOI: 10.1007/s11663-008-9210-2</identifier><identifier>CODEN: MTTBCR</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Applied sciences ; Characterization and Evaluation of Materials ; Chemical compounds ; Chemical Sciences ; Chemistry and Materials Science ; Electromagnetics ; Engineering Sciences ; Exact sciences and technology ; Magnetic fields ; Material chemistry ; Materials ; Materials Science ; Metallic Materials ; Metals. Metallurgy ; Nanotechnology ; Production of metals ; Structural Materials ; Surfaces and Interfaces ; Theoretical physics ; Thin Films</subject><ispartof>Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science, 2009-02, Vol.40 (1), p.104-113</ispartof><rights>THE MINERALS, METALS & MATERIALS SOCIETY and ASM INTERNATIONAL 2009</rights><rights>2009 INIST-CNRS</rights><rights>Copyright Minerals, Metals & Materials Society and ASM International Feb 2009</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c442t-1e93bcbc3855c5a7fab9fe7d29f823d1562b87c91c6f542bfcadbd9603decaa33</citedby><cites>FETCH-LOGICAL-c442t-1e93bcbc3855c5a7fab9fe7d29f823d1562b87c91c6f542bfcadbd9603decaa33</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/s11663-008-9210-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11663-008-9210-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,885,27922,27923,41486,42555,51317</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21174096$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00446969$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Wang, Xiaodong</creatorcontrib><creatorcontrib>Moreau, Rene</creatorcontrib><creatorcontrib>Etay, Jacqueline</creatorcontrib><creatorcontrib>Fautrelle, Yves</creatorcontrib><title>A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model</title><title>Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science</title><addtitle>Metall Mater Trans B</addtitle><description>A flow of liquid GaInSn, which has been investigated experimentally in a companion article,
[1]
is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to periodically reverse its circulation such that macrosegregation is minimized. First, we present an analytical derivation of the electromagnetic force, exhibiting its space and time variations, which are essentially legitimate in the central part of the fluid domain. A model for the recirculating fluid flow is also derived, assuming that in this central region the flow is quasiparallel to the main axis. The narrowness of the fluid domain must be taken into account, to achieve a satisfactory agreement with the measurements.</description><subject>Applied sciences</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemical compounds</subject><subject>Chemical Sciences</subject><subject>Chemistry and Materials Science</subject><subject>Electromagnetics</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Magnetic fields</subject><subject>Material chemistry</subject><subject>Materials</subject><subject>Materials Science</subject><subject>Metallic Materials</subject><subject>Metals. Metallurgy</subject><subject>Nanotechnology</subject><subject>Production of metals</subject><subject>Structural Materials</subject><subject>Surfaces and Interfaces</subject><subject>Theoretical physics</subject><subject>Thin Films</subject><issn>1073-5615</issn><issn>1543-1916</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp9kV9rFDEUxQdRsK5-AN-CoOLDtLn5NxPflta1C1sssj6HTObONiWdqcnsyn77ZphSRLBPCTm_czi5tyjeAz0FSquzBKAULymtS82AluxFcQJS8BI0qJf5TiteSgXydfEmpVtKqdKanxS7JbnG6IfWOxvCkfzEA8aELVmF4Q-5iP6APWmOxJKrod0HO2ZpG-0Bg-935Mruehy9IyuPof1Krm0cyXp9SrY3OMRJsWEyYnhbvOpsSPju8VwUv1bftueX5ebH9_X5clM6IdhYAmreuMbxWkonbdXZRndYtUx3NeMtSMWaunIanOqkYE3nbNu0WlHeorOW80XxZc69scHcR39n49EM1pvL5cZMb5QKobTSB8js55m9j8PvPabR3PnkMATb47BPphI892BCZfLTsyRXQnKeR7woPvwD3g772OcfG9AVAKskyxDMkItDShG7p6JAzbRNM28zd63NtE0zeT4-BtuUh9pF2zufnowMoBJUT03ZzKUs9TuMfxX4b_gDGW6tWQ</recordid><startdate>20090201</startdate><enddate>20090201</enddate><creator>Wang, Xiaodong</creator><creator>Moreau, Rene</creator><creator>Etay, Jacqueline</creator><creator>Fautrelle, Yves</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>4T-</scope><scope>4U-</scope><scope>7SR</scope><scope>7XB</scope><scope>88I</scope><scope>8AF</scope><scope>8AO</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>L6V</scope><scope>M2P</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0X</scope><scope>1XC</scope></search><sort><creationdate>20090201</creationdate><title>A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. 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Metallurgy</topic><topic>Nanotechnology</topic><topic>Production of metals</topic><topic>Structural Materials</topic><topic>Surfaces and Interfaces</topic><topic>Theoretical physics</topic><topic>Thin Films</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Xiaodong</creatorcontrib><creatorcontrib>Moreau, Rene</creatorcontrib><creatorcontrib>Etay, Jacqueline</creatorcontrib><creatorcontrib>Fautrelle, Yves</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Docstoc</collection><collection>University Readers</collection><collection>Engineered Materials Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>STEM Database</collection><collection>ProQuest Pharma Collection</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</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>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Science Database</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>ProQuest Central Basic</collection><collection>SIRS Editorial</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Metallurgical and Materials Transactions B-Process Metallurgy and Materials Processing Science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Xiaodong</au><au>Moreau, Rene</au><au>Etay, Jacqueline</au><au>Fautrelle, Yves</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. 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[1]
is modeled analytically in this article. The role of this electromagnetically driven flow is to transport the solute rejected by the solidifying interface at significant distances in the melt, and to periodically reverse its circulation such that macrosegregation is minimized. First, we present an analytical derivation of the electromagnetic force, exhibiting its space and time variations, which are essentially legitimate in the central part of the fluid domain. A model for the recirculating fluid flow is also derived, assuming that in this central region the flow is quasiparallel to the main axis. The narrowness of the fluid domain must be taken into account, to achieve a satisfactory agreement with the measurements.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s11663-008-9210-2</doi><tpages>10</tpages></addata></record> |
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subjects | Applied sciences Characterization and Evaluation of Materials Chemical compounds Chemical Sciences Chemistry and Materials Science Electromagnetics Engineering Sciences Exact sciences and technology Magnetic fields Material chemistry Materials Materials Science Metallic Materials Metals. Metallurgy Nanotechnology Production of metals Structural Materials Surfaces and Interfaces Theoretical physics Thin Films |
title | A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model |
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