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Applied mathematical modelling of continuous casting processes: A review
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering.ORCID iD: 0000-0002-8318-1251
2018 (English)In: Metals, ISSN 2075-4701, Vol. 8, no 11, article id 928Article in journal (Refereed) Published
Abstract [en]

With readily available and ever-increasing computational resources, the modelling of continuous casting processes—mainly for steel, but also for copper and aluminium alloys—has predominantly focused on large-scale numerical simulation. Whilst there is certainly a need for this type of modelling, this paper highlights an alternative approach more grounded in applied mathematics, which lies between overly simplified analytical models and multi-dimensional simulations. In this approach, the governing equations are nondimensionalized and systematically simplified to obtain a formulation which is numerically much cheaper to compute, yet does not sacrifice any of the physics that was present in the original problem; in addition, the results should agree also quantitatively with those of the original model. This approach is well-suited to the modelling of continuous casting processes, which often involve the interaction of complex multiphysics. Recent examples involving mould taper, oscillation-mark formation, solidification shrinkage-induced macrosegregation and electromagnetic stirring are considered, as are the possibilities for the modelling of exudation, columnar-to-equiaxed transition, V-segregation, centreline porosity and mechanical soft reduction.

Place, publisher, year, edition, pages
MDPI AG , 2018. Vol. 8, no 11, article id 928
Keywords [en]
Asymptotic analysis, Continuous casting, Numerical simulation
National Category
Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-246539DOI: 10.3390/met8110928ISI: 000451735100067Scopus ID: 2-s2.0-85057280519OAI: oai:DiVA.org:kth-246539DiVA, id: diva2:1297176
Note

QC 20190319

Available from: 2019-03-19 Created: 2019-03-19 Last updated: 2019-03-19Bibliographically approved

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Vynnycky, Michael

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