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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Applied Mathematical Modelling of Continuous Casting Processes: A Review

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Author(s):
Vynnycky, Michael
Total Authors: 1
Document type: Review article
Source: METALS; v. 8, n. 11 NOV 2018.
Web of Science Citations: 3
Abstract

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. (AU)

FAPESP's process: 18/07643-8 - Industrial mathematics and practical asymptotics
Grantee:José Alberto Cuminato
Support Opportunities: Research Grants - Visiting Researcher Grant - International