Numerical examination of the evaporation process within a vacuum induction furnace with a comparison to experimental results
•The 2D axisymmetric coupled numerical model was developed for metal evaporation process within the vacuum induction furnace.•The mathematical model was validated against the experimental data from industrial unit.•The rate of evaporation was successfully predicted for several operating conditions.•...
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| Veröffentlicht in: | Applied thermal engineering 2019-03, Vol.150, p.348-358 |
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| container_title | Applied thermal engineering |
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| creator | Buliński, Piotr Smolka, Jacek Siwiec, Grzegorz Blacha, Leszek Golak, Sławomir Przyłucki, Roman Palacz, Michał Melka, Bartłomiej |
| description | •The 2D axisymmetric coupled numerical model was developed for metal evaporation process within the vacuum induction furnace.•The mathematical model was validated against the experimental data from industrial unit.•The rate of evaporation was successfully predicted for several operating conditions.•The surface temperature is a crucial parameter for the mass transport through the molten metal free surface.
This paper discusses a mathematical model for and presents the experimental results of the metal evaporation process in a vacuum induction furnace. An in-house-developed coupling procedure was utilized to predict the electromagnetic, flow and temperature fields in a simplified axisymmetric domain. Evaporation kinetics were simulated by means of a Hertz-Knudsen equation and implemented as source terms in transport equations. The metal vapour above the molten metal bath was described by an additional conservation equation, with gradients of diffusion flux and evaporated metal source terms included. The diffusion flux was the solution of Fick’s law. To fully analyse the evaporation process, several numerical computations were performed to examine the influence of the input power of the inductor, the crucible position inside the copper coil and the amount of charge. The validation of the mathematical description was performed according to aluminium mass loss measurements. A comparison with the experimental results confirmed that the proposed mathematical model of evaporation kinetics can be applied to the evaporation process modelled within a vacuum induction furnace. A numerical case study allowed for the proper identification of operating conditions to intensify the evaporation process within the induction furnace. Moreover, the obtained results confirmed that even small changes in the charge temperature during the evaporation process might have a crucial influence on the evaporation rate. |
| doi_str_mv | 10.1016/j.applthermaleng.2019.01.008 |
| format | Article |
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This paper discusses a mathematical model for and presents the experimental results of the metal evaporation process in a vacuum induction furnace. An in-house-developed coupling procedure was utilized to predict the electromagnetic, flow and temperature fields in a simplified axisymmetric domain. Evaporation kinetics were simulated by means of a Hertz-Knudsen equation and implemented as source terms in transport equations. The metal vapour above the molten metal bath was described by an additional conservation equation, with gradients of diffusion flux and evaporated metal source terms included. The diffusion flux was the solution of Fick’s law. To fully analyse the evaporation process, several numerical computations were performed to examine the influence of the input power of the inductor, the crucible position inside the copper coil and the amount of charge. The validation of the mathematical description was performed according to aluminium mass loss measurements. A comparison with the experimental results confirmed that the proposed mathematical model of evaporation kinetics can be applied to the evaporation process modelled within a vacuum induction furnace. A numerical case study allowed for the proper identification of operating conditions to intensify the evaporation process within the induction furnace. Moreover, the obtained results confirmed that even small changes in the charge temperature during the evaporation process might have a crucial influence on the evaporation rate.</description><identifier>ISSN: 1359-4311</identifier><identifier>EISSN: 1873-5606</identifier><identifier>DOI: 10.1016/j.applthermaleng.2019.01.008</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Aluminum ; Coils ; Computational fluid dynamics ; Computer simulation ; Conservation equations ; Coupled electromagnetic and thermal analysis ; Crucibles ; Diffusion ; Electric induction furnaces ; Electromagnetic induction ; Evaporation ; Evaporation kinetics ; Evaporation rate ; Mathematical models ; Metal vapors ; Multiphase flow ; Numerical analysis ; Studies ; Vacuum induction furnaces ; Validation</subject><ispartof>Applied thermal engineering, 2019-03, Vol.150, p.348-358</ispartof><rights>2019 Elsevier Ltd</rights><rights>Copyright Elsevier BV Mar 5, 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c358t-23c85b39ef0233f5d65ddca1a301e8dcd682bcee6592b0c1eed843abfb00ea3c3</citedby><cites>FETCH-LOGICAL-c358t-23c85b39ef0233f5d65ddca1a301e8dcd682bcee6592b0c1eed843abfb00ea3c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.applthermaleng.2019.01.008$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Buliński, Piotr</creatorcontrib><creatorcontrib>Smolka, Jacek</creatorcontrib><creatorcontrib>Siwiec, Grzegorz</creatorcontrib><creatorcontrib>Blacha, Leszek</creatorcontrib><creatorcontrib>Golak, Sławomir</creatorcontrib><creatorcontrib>Przyłucki, Roman</creatorcontrib><creatorcontrib>Palacz, Michał</creatorcontrib><creatorcontrib>Melka, Bartłomiej</creatorcontrib><title>Numerical examination of the evaporation process within a vacuum induction furnace with a comparison to experimental results</title><title>Applied thermal engineering</title><description>•The 2D axisymmetric coupled numerical model was developed for metal evaporation process within the vacuum induction furnace.•The mathematical model was validated against the experimental data from industrial unit.•The rate of evaporation was successfully predicted for several operating conditions.•The surface temperature is a crucial parameter for the mass transport through the molten metal free surface.
This paper discusses a mathematical model for and presents the experimental results of the metal evaporation process in a vacuum induction furnace. An in-house-developed coupling procedure was utilized to predict the electromagnetic, flow and temperature fields in a simplified axisymmetric domain. Evaporation kinetics were simulated by means of a Hertz-Knudsen equation and implemented as source terms in transport equations. The metal vapour above the molten metal bath was described by an additional conservation equation, with gradients of diffusion flux and evaporated metal source terms included. The diffusion flux was the solution of Fick’s law. To fully analyse the evaporation process, several numerical computations were performed to examine the influence of the input power of the inductor, the crucible position inside the copper coil and the amount of charge. The validation of the mathematical description was performed according to aluminium mass loss measurements. A comparison with the experimental results confirmed that the proposed mathematical model of evaporation kinetics can be applied to the evaporation process modelled within a vacuum induction furnace. A numerical case study allowed for the proper identification of operating conditions to intensify the evaporation process within the induction furnace. Moreover, the obtained results confirmed that even small changes in the charge temperature during the evaporation process might have a crucial influence on the evaporation rate.</description><subject>Aluminum</subject><subject>Coils</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Conservation equations</subject><subject>Coupled electromagnetic and thermal analysis</subject><subject>Crucibles</subject><subject>Diffusion</subject><subject>Electric induction furnaces</subject><subject>Electromagnetic induction</subject><subject>Evaporation</subject><subject>Evaporation kinetics</subject><subject>Evaporation rate</subject><subject>Mathematical models</subject><subject>Metal vapors</subject><subject>Multiphase flow</subject><subject>Numerical analysis</subject><subject>Studies</subject><subject>Vacuum induction furnaces</subject><subject>Validation</subject><issn>1359-4311</issn><issn>1873-5606</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqNUE1LxDAQLaKgrv6Hgl5bJ8k22wUvIn6B6EXPIZ1MNUvb1CRdFfzxZl0v3jzNMPPmvTcvy04ZlAyYPFuVehy7-Eq-1x0NLyUHtiyBlQD1TnbA6oUoKglyN_WiWhZzwdh-dhjCCoDxejE_yL4epp68Rd3l9KF7O-ho3ZC7Nk-0Oa316Px2NHqHFEL-buOrHXKdrzVOU5_bwUz4g2gnP2ikH0Tao-tH7W1Im-gS-5h0ehpikvIUpi6Go2yv1V2g4986y56vr54ub4v7x5u7y4v7AkVVx4ILrKtGLKkFLkRbGVkZg5ppAYxqg0bWvEEiWS15A8iITD0XumkbANICxSw72fKmH94mClGt3MZrFxTnILmUC1El1PkWhd6F4KlVYzKs_adioDZ5q5X6m7fa5K2AqZR3Or_enlP6ZG3Jq4CWBiRjPWFUxtn_EX0D7uSWsw</recordid><startdate>20190305</startdate><enddate>20190305</enddate><creator>Buliński, Piotr</creator><creator>Smolka, Jacek</creator><creator>Siwiec, Grzegorz</creator><creator>Blacha, Leszek</creator><creator>Golak, Sławomir</creator><creator>Przyłucki, Roman</creator><creator>Palacz, Michał</creator><creator>Melka, Bartłomiej</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>KR7</scope></search><sort><creationdate>20190305</creationdate><title>Numerical examination of the evaporation process within a vacuum induction furnace with a comparison to experimental results</title><author>Buliński, Piotr ; Smolka, Jacek ; Siwiec, Grzegorz ; Blacha, Leszek ; Golak, Sławomir ; Przyłucki, Roman ; Palacz, Michał ; Melka, Bartłomiej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c358t-23c85b39ef0233f5d65ddca1a301e8dcd682bcee6592b0c1eed843abfb00ea3c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Aluminum</topic><topic>Coils</topic><topic>Computational fluid dynamics</topic><topic>Computer simulation</topic><topic>Conservation equations</topic><topic>Coupled electromagnetic and thermal analysis</topic><topic>Crucibles</topic><topic>Diffusion</topic><topic>Electric induction furnaces</topic><topic>Electromagnetic induction</topic><topic>Evaporation</topic><topic>Evaporation kinetics</topic><topic>Evaporation rate</topic><topic>Mathematical models</topic><topic>Metal vapors</topic><topic>Multiphase flow</topic><topic>Numerical analysis</topic><topic>Studies</topic><topic>Vacuum induction furnaces</topic><topic>Validation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Buliński, Piotr</creatorcontrib><creatorcontrib>Smolka, Jacek</creatorcontrib><creatorcontrib>Siwiec, Grzegorz</creatorcontrib><creatorcontrib>Blacha, Leszek</creatorcontrib><creatorcontrib>Golak, Sławomir</creatorcontrib><creatorcontrib>Przyłucki, Roman</creatorcontrib><creatorcontrib>Palacz, Michał</creatorcontrib><creatorcontrib>Melka, Bartłomiej</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Applied thermal engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Buliński, Piotr</au><au>Smolka, Jacek</au><au>Siwiec, Grzegorz</au><au>Blacha, Leszek</au><au>Golak, Sławomir</au><au>Przyłucki, Roman</au><au>Palacz, Michał</au><au>Melka, Bartłomiej</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical examination of the evaporation process within a vacuum induction furnace with a comparison to experimental results</atitle><jtitle>Applied thermal engineering</jtitle><date>2019-03-05</date><risdate>2019</risdate><volume>150</volume><spage>348</spage><epage>358</epage><pages>348-358</pages><issn>1359-4311</issn><eissn>1873-5606</eissn><abstract>•The 2D axisymmetric coupled numerical model was developed for metal evaporation process within the vacuum induction furnace.•The mathematical model was validated against the experimental data from industrial unit.•The rate of evaporation was successfully predicted for several operating conditions.•The surface temperature is a crucial parameter for the mass transport through the molten metal free surface.
This paper discusses a mathematical model for and presents the experimental results of the metal evaporation process in a vacuum induction furnace. An in-house-developed coupling procedure was utilized to predict the electromagnetic, flow and temperature fields in a simplified axisymmetric domain. Evaporation kinetics were simulated by means of a Hertz-Knudsen equation and implemented as source terms in transport equations. The metal vapour above the molten metal bath was described by an additional conservation equation, with gradients of diffusion flux and evaporated metal source terms included. The diffusion flux was the solution of Fick’s law. To fully analyse the evaporation process, several numerical computations were performed to examine the influence of the input power of the inductor, the crucible position inside the copper coil and the amount of charge. The validation of the mathematical description was performed according to aluminium mass loss measurements. A comparison with the experimental results confirmed that the proposed mathematical model of evaporation kinetics can be applied to the evaporation process modelled within a vacuum induction furnace. A numerical case study allowed for the proper identification of operating conditions to intensify the evaporation process within the induction furnace. Moreover, the obtained results confirmed that even small changes in the charge temperature during the evaporation process might have a crucial influence on the evaporation rate.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.applthermaleng.2019.01.008</doi><tpages>11</tpages></addata></record> |
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| subjects | Aluminum Coils Computational fluid dynamics Computer simulation Conservation equations Coupled electromagnetic and thermal analysis Crucibles Diffusion Electric induction furnaces Electromagnetic induction Evaporation Evaporation kinetics Evaporation rate Mathematical models Metal vapors Multiphase flow Numerical analysis Studies Vacuum induction furnaces Validation |
| title | Numerical examination of the evaporation process within a vacuum induction furnace with a comparison to experimental results |
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