Singular Perturbation Theory for Melting or Freezing in Finite Domains Initially Not at the Fusion Temperature

DOI10.1115/1.3424008zbMath0396.76020OpenAlexW2149262081MaRDI QIDQ4180006

Latif M. Jiji, Sheldon Weinbaum

Publication date: 1977

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3424008

zbMATH Keywords

Singular Perturbation TheoryMeltingFreezingAsymptotic MatchingInward SolidificationIsothermal CaseTransient Diffusion

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (6)

Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature ⋮ Solidification of a finite slab with convective cooling and shrinkage ⋮ Asymptotic analysis of a two-phase Stefan problem in annulus: application to outward solidification in phase change materials ⋮ 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 ⋮ The asymptotic solution of a kind of Stefan problem

This page was built for publication: Singular Perturbation Theory for Melting or Freezing in Finite Domains Initially Not at the Fusion Temperature