On the formation of fold-type oscillation marks in the continuous casting of steel

• Published in: Royal Society open science Vol. 4; no. 6; p. 170062
• Main Authors: Vynnycky, M., Saleem, S., Devine, K. M., Florio, B. J., Mitchell, S. L., O’Brien, S. B. G.
• Format: Journal Article
• Language: English
• Published: England The Royal Society Publishing 01.06.2017; The Royal Society
• Subjects: Asymptotic Analysis; Continuous Casting; Engineering; Oscillation Marks; oscillation marks; asymptotic analysis; continuous casting
• ISSN: 2054-5703; 2054-5703
• DOI: 10.1098/rsos.170062

Asymptotic methods are employed to revisit an earlier model for oscillation-mark formation in the continuous casting of steel. A systematic non-dimensionalization of the governing equations, which was not carried out previously, leads to a model with 12 dimensionless parameters. Analysis is provided in the same parameter regime as for the earlier model, and surprisingly simple analytical solutions are found for the oscillation-mark profiles; these are found to agree reasonably well with the numerical solution in the earlier model and very well with fold-type oscillation marks that have been obtained in more recent experimental work. The benefits of this approach, when compared with time-consuming numerical simulations, are discussed in the context of auxiliary models for macrosegregation and thermomechanical stresses and strains.