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A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel

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dc.contributor.author Devine, M.
dc.contributor.author Vynnycky, Michael
dc.contributor.author Mitchell, Sarah L.
dc.contributor.author O'Brien, Stephen B.G.
dc.date.accessioned 2021-06-24T14:37:23Z
dc.date.available 2021-06-24T14:37:23Z
dc.date.issued 2021
dc.identifier.citation Devine, K. M.; Vynnycky, M.; Mitchell, S. L; O'Brien, S. B. G. (2021) 'A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel'. Ima Journal Of Applied Mathematics, . en_US
dc.identifier.uri http://hdl.handle.net/10344/10275
dc.description peer-reviewed en_US
dc.description.abstract A recent asymptotics-based thermomechanical model is adapted and applied to the mould region in the continuous casting of round steel billets, with a view to describing the complex interplay between airgap formation, mould taper, cooling channel width and cooling water velocity. Although the situation is steady state, the analysis leads to what is mathematically a dual moving-boundary problem for the solid–melt and solid–air interfaces, where the distance from the top of the mould region is the time-like variable in the problem. Moreover, the two interfaces are initiated at different locations. In addition, the thermal and mechanical problems are found to decouple and it is possible to solve the first ahead of the second. The model equations are solved numerically using a finite-difference method, and the approach is subsequently successfully validated against a previous finite-element model and experimental data from temperature measurements taken within the mould. en_US
dc.language.iso eng en_US
dc.publisher Institute of Mathematics and its Applications: Oxford University Press en_US
dc.relation.ispartofseries IMA Journal of Applied Mathematics;86, pp. 349-377
dc.subject continuous casting en_US
dc.subject air-gap formation en_US
dc.subject mould taper en_US
dc.subject asymptotic analysis en_US
dc.title A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2021-06-24T13:59:23Z
dc.description.version PUBLISHED
dc.identifier.doi 10.1093/imamat/hxab003
dc.contributor.sponsor SFI en_US
dc.contributor.sponsor IRC en_US
dc.relation.projectid 12/IA/1683 en_US
dc.relation.projectid GOIPG/2014/1147 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 2996256
dc.internal.copyrightchecked No
dc.identifier.journaltitle Ima Journal Of Applied Mathematics
dc.description.status peer-reviewed


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