Solidification of a finite slab with convective cooling and shrinkage

DOI10.1016/S0307-904X(03)00078-7zbMath1056.80005MaRDI QIDQ1433260

Mihir Sen, Zhaoji Yang, Samuel Paolucci

Publication date: 15 June 2004

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

solidificationBiot numberphase changeshrinkagesolid and liquid phasesStefan numbers

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (6)

One-dimensional solidification of pure materials with a time periodically oscillating temperature boundary condition ⋮ A series solution for heat conduction problem with phase change in a finite slab ⋮ Schauder theory for a parabolic equation in a wedge-shaped domain ⋮ An one-dimensional two-phase free boundary problem in an angular domain ⋮ Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion ⋮ On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions

Cites Work

• A Stefan-Type Problem with Void Formation and its Explicit Solution
• Singular Perturbation Theory for Melting or Freezing in Finite Domains Initially Not at the Fusion Temperature
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