Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models
In the paper the thermal processes proceeding in the domain of solidifying binary alloy are considered. The mathematical model of solidification and cooling processes bases on the one domain method (or fixed domain method). In such a model the parameter called a substitute thermal capacity (STC) app...
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Format: | Article |
Language: | English |
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Polish Academy of Sciences
2015-09-01
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Series: | Archives of Metallurgy and Materials |
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Online Access: | http://www.degruyter.com/view/j/amm.2015.60.issue-3/amm-2015-0396/amm-2015-0396.xml?format=INT |
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author | Majchrzak E. Mochnacki B. Mendakiewicz J. |
author_facet | Majchrzak E. Mochnacki B. Mendakiewicz J. |
author_sort | Majchrzak E. |
collection | DOAJ |
description | In the paper the thermal processes proceeding in the domain of solidifying binary alloy are considered. The mathematical model of solidification and cooling processes bases on the one domain method (or fixed domain method). In such a model the parameter called a substitute thermal capacity (STC) appears. At the stage of STC construction the macrosegregation process described by the lever arm rule or the Scheil model is taken into account. In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy. In the final part the examples of numerical solutions basing on the finite difference method are presented. |
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id | doaj.art-6bfdf65e35d8440cb86719d7f57ad5a7 |
institution | Directory Open Access Journal |
issn | 2300-1909 |
language | English |
last_indexed | 2024-12-10T13:16:40Z |
publishDate | 2015-09-01 |
publisher | Polish Academy of Sciences |
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series | Archives of Metallurgy and Materials |
spelling | doaj.art-6bfdf65e35d8440cb86719d7f57ad5a72022-12-22T01:47:31ZengPolish Academy of SciencesArchives of Metallurgy and Materials2300-19092015-09-016032431243510.1515/amm-2015-0396amm-2015-0396Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation ModelsMajchrzak E.0Mochnacki B.1Mendakiewicz J.2 SILESIAN UNIVERSITY OF TECHNOLOGY, 18A KONARSKIEGO STR., 44-100 GLIWICE, POLAND UNIVERSITY OF OCCUPATIONAL SAFETY MANAGEMENT IN KATOWICE, 8 BANKOWA STR., 40-007 KATOWICE, POLAND SILESIAN UNIVERSITY OF TECHNOLOGY, 18A KONARSKIEGO STR., 44-100 GLIWICE, POLANDIn the paper the thermal processes proceeding in the domain of solidifying binary alloy are considered. The mathematical model of solidification and cooling processes bases on the one domain method (or fixed domain method). In such a model the parameter called a substitute thermal capacity (STC) appears. At the stage of STC construction the macrosegregation process described by the lever arm rule or the Scheil model is taken into account. In this way one obtains the formulas determining the course of STC resulting from the certain physical considerations and this approach seems to be closer to the real course of thermal processes proceeding in domain of solidifying alloy. In the final part the examples of numerical solutions basing on the finite difference method are presented.http://www.degruyter.com/view/j/amm.2015.60.issue-3/amm-2015-0396/amm-2015-0396.xml?format=INTalloys solidificationone domain approachmacrosegregation processsubstitute thermal capacitynumerical modeling |
spellingShingle | Majchrzak E. Mochnacki B. Mendakiewicz J. Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models Archives of Metallurgy and Materials alloys solidification one domain approach macrosegregation process substitute thermal capacity numerical modeling |
title | Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models |
title_full | Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models |
title_fullStr | Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models |
title_full_unstemmed | Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models |
title_short | Numerical Model Of Binary Alloys Solidification Basing On The One Domain Approach And The Simple Macrosegregation Models |
title_sort | numerical model of binary alloys solidification basing on the one domain approach and the simple macrosegregation models |
topic | alloys solidification one domain approach macrosegregation process substitute thermal capacity numerical modeling |
url | http://www.degruyter.com/view/j/amm.2015.60.issue-3/amm-2015-0396/amm-2015-0396.xml?format=INT |
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