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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Main Authors: Majchrzak E., Mochnacki B., Mendakiewicz J.
Format: Article
Language:English
Published: Polish Academy of Sciences 2015-09-01
Series:Archives of Metallurgy and Materials
Subjects:
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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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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AT mochnackib numericalmodelofbinaryalloyssolidificationbasingontheonedomainapproachandthesimplemacrosegregationmodels
AT mendakiewiczj numericalmodelofbinaryalloyssolidificationbasingontheonedomainapproachandthesimplemacrosegregationmodels