On the formation of centreline shrinkage porosity in the continuous casting of steel

DOI10.1186/S13362-020-00084-2zbMath1472.76119OpenAlexW3032021767MaRDI QIDQ1980975

Michael Vynnycky

Publication date: 9 September 2021

Published in: Journal of Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13362-020-00084-2

zbMATH Keywords

solidificationasymptotic analysisbinary alloygas porositymushy-zone permeabilitysolute macrosegregation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Cites Work

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• Convection modeling in directional solidification
• Towards a general numerical scheme for solidification systems
• Mesh generation and flow calculations in highly contorted geometries
• On the explicit resolution of the mushy zone in the modelling of the continuous casting of alloys
• An asymptotic approach to solidification shrinkage-induced macrosegregation in the continuous casting of binary alloys
• On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys

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