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Fast computation of the Lorentz force induced by longitudinal electromagnetic stirring
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Process. Mathematics Applications Consortium for Science and Industry (MACSI), Department of Mathematics and Statistics, University of Limerick, Limerick, V94 T9PX, Ireland.ORCID iD: 0000-0002-8318-1251
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering, Process. LKAB, S-98186 Kiruna, Sweden..ORCID iD: 0000-0001-6477-5487
Univ Limerick, Dept Math & Stat, Math Applicat Consortium Sci & Ind MACSI, Limerick V94 T9PX, Ireland.;Univ Fed Mato Grosso, Inst Comp, BR-78060900 Cuiaba, MT, Brazil..
2022 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 416, article id 114565Article in journal (Refereed) Published
Abstract [en]

In this work, we revisit a recent transient three-dimensional (3D) model for longitudinal electromagnetic stirring in the continuous casting of rectangular steel blooms. Whereas the earlier work was able to demonstrate accurate approximations to the solutions in two asymptotic limits, both of which gave economical alternatives to time-consuming 3D computations, here we show that the original governing equations can be manipulated to a form that allows for rapid computation even outside of these asymptotic limits. The resulting formulation requires the numerical solution of two steady-state complex Helmholtz-like equations in two dimensions that are coupled via a non-standard internal interface condition that is reminiscent of that occurring in the study of Marangoni convection; these equations are then solved numerically using the finite-element software Comsol Multiphysics. With this formulation, it is possible to compute the time-averaged Lorentz force components in a way that requires around four orders of magnitude less computational time than the fully 3D approach.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 416, article id 114565
Keywords [en]
Electromagnetic stirring, Maxwell equations, Continuous casting
National Category
Computational Mathematics Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-316122DOI: 10.1016/j.cam.2022.114565ISI: 000830982800003Scopus ID: 2-s2.0-85134431252OAI: oai:DiVA.org:kth-316122DiVA, id: diva2:1686561
Note

QC 20220810

Available from: 2022-08-10 Created: 2022-08-10 Last updated: 2022-08-10Bibliographically approved

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Vynnycky, MichaelSafavi Nick, Arash

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