On a nonlinear Stefan problem arising in the continuous casting of steel

DOI10.1007/BF01201828zbMath0881.76099OpenAlexW2077853768MaRDI QIDQ1913012

James M. Hill, Yong-Hong Wu

Publication date: 15 January 1998

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01201828

zbMATH Keywords

boundary conditionsenergy conservationnormalized pseudo-steady state temperatureupper bound to normalized actual temperature

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99)

Related Items

Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ A numerical study of the turbulent flow of molten steel in a domain with a phase-change boundary. ⋮ On the interactive effects of mould taper and superheat on air gaps in continuous casting ⋮ Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach

Cites Work

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• On numerical simulation of the continuous casting process
• Accurate solutions of moving boundary problems using the enthalpy method
• On an integral formulation for moving boundary problems
• A novel finite element method for heat transfer in the continuous caster