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


ABSTRACT: 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.

SUBMITTER: Vynnycky M 

PROVIDER: S-EPMC5493908 | biostudies-literature | 2017 Jun

REPOSITORIES: biostudies-literature

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

Vynnycky M M   Saleem S S   Devine K M KM   Florio B J BJ   Mitchell S L SL   O'Brien S B G SBG  

Royal Society open science 20170607 6


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 nume  ...[more]

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