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An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering.ORCID iD: 0000-0002-8318-1251
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Casting of Metals.ORCID iD: 0000-0001-9437-3550
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Casting of Metals.ORCID iD: 0000-0003-2449-9232
2018 (English)In: Applied Mathematical Modelling, ISSN 0307-904X, E-ISSN 1872-8480, Vol. 54, p. 605-626Article in journal (Refereed) Published
Abstract [en]

The modelling of macrosegregation in the continuous casting of alloys normally requires resource-intensive computational fluid dynamics (CFD). By contrast, here we develop an asymptotic framework for the case when macrosegregation is driven by solidification shrinkage; as a first step, a binary alloy is considered. Systematic asymptotic analysis of the steady-state two-dimensional mass, momentum, heat and solute conservation equations in terms of the shrinkage parameter indicates that the overall problem can be reduced to a hierarchy of decoupled problems: a leading-order problem that is non-linear, and a sequence of linear problems, with the actual macrosegregation of the solute then being determined by means of one-dimensional quadrature. A numerical method that solves this sequence is then developed and implemented, and yields realistic macrosegregation profiles at low computational cost.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE INC , 2018. Vol. 54, p. 605-626
Keyword [en]
Continuous casting, Binary alloys, Macrosegregation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-222171DOI: 10.1016/j.apm.2017.10.012ISI: 000423005000037Scopus ID: 2-s2.0-85038207280OAI: oai:DiVA.org:kth-222171DiVA, id: diva2:1180903
Note

QC 20180207

Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2018-02-07Bibliographically approved

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Vynnycky, MichaelSaleem, SaudFredriksson, Hasse

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