Asymptotic and numerical solutions for the two-dimensional solidification of a liquid half-space

DOI10.1098/RSPA.1997.0076zbMath0885.35150OpenAlexW1964040695MaRDI QIDQ4349587

A. M. Wallman, David S. Riley, John R. King

Publication date: 28 September 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0076

zbMATH Keywords

self-similar solutionsnumerical calculationsasymptotic techniquelarge and small Stefan numbers

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

Extended Stefan problem for the solidification of binary alloys in a sphere ⋮ Asymptotic analysis of a two-phase Stefan problem in annulus: application to outward solidification in phase change materials ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ A one-phase Stefan problem with size-dependent thermal conductivity ⋮ Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain

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