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Mathematical modelling of the solidification of liquid tin with electromagnetic stirring

Mathematical modelling of the solidification of liquid tin with electromagnetic stirring

Pericleous, K. ORCID: 0000-0002-7426-9999, Cross, M., Hughes, M. and Cook, D. (1996) Mathematical modelling of the solidification of liquid tin with electromagnetic stirring. Magnetohydrodynamics, 32 (4). pp. 443-450. ISSN 0024-998X

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Abstract

It is well known that during alloy solidification, convection currents close to the so-lidification front have an influence on the structure of dendrites, the local solute concentration, the pattern of solid segregation, and eventually the microstructure of the casting and hence its mechanical properties. Controlled stirring of the melt in continuous casting or in ingot solidification is thought to have a beneficial effect. Free convection currents occur naturally due to temperature differences in the melt and for any given configuration, their strength is a function of the degree of superheat present. A more controlled forced convection current can be induced using electro-magnetic stirring. The authors have applied their Control-Volume based MHD method [1, 2] to the problem of tin solidification in an annular crucible with a water-cooled inner wall and a resistance heated outer one, for both free and forced convection situations and for various degrees of superheat. This problem was studied experimentally by Vives and Perry [3] who obtained temperature measurements, front positions and maps of electro-magnetic body force for a range of superheat values. The results of the mathematical model are compared critically against the experimental ones, in order to validate the model and also to demonstrate the usefulness of the coupled solution technique followed, as a predictive tool and a design aid. Figs 6, refs 19.

Item Type: Article
Additional Information: [1] Paper also published in Russian edition of the journal (same publication date/volume/issue - different pagination): Magnitnaya Gidrodinamika (1996) Volume 32, No. 4, pp. 472-478. ISSN 0025-0015. Issue theme - General and theoretical problems. [2] The Russian edition of the journal, Magnitnaya Gidrodinamika ceased in 2000. Subsequently published as Magnetohydrodynamics since 2001, solely in English.
Uncontrolled Keywords: mathematical modelling, solidification, tin, electromagnetic stirring
Subjects: Q Science > QA Mathematics
Q Science > QD Chemistry
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
School of Computing & Mathematical Sciences > Department of Computer Systems Technology
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Last Modified: 14 Oct 2016 08:59
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/87

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