Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature
type: Item
instance of: scholarly article
title: Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature
zbMATH Open document ID: 0594.73003
DOI: 10.1007/BF01176600
author: J. N. Dewynne
author: Jim Hill
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: For two phase moving boundary problems for spheres, cylinders, and plane integral formulations are obtained generalizing known results for one phase Stefan problems. The authors consider: the inward thawing of an initially subcoated solid contained within the just named geometries, or within regions bounded by concentric spheres, cylinders, and planes; the outward thawing of an initially subcooled solid in the finite region surrounding a sphere, cylinder, or plate. Bound obtained for inward thawing are compared with exact numerical solutions given by the enthalpy method.
reviewed by: J. L. Nowinski
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A10
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 3956506
zbMATH Keywords: Newton heat loss
zbMATH Keywords: concentric geometries
zbMATH Keywords: finite slabs
zbMATH Keywords: bounds on
zbMATH Keywords: interface motion
zbMATH Keywords: relation to enthalpy
zbMATH Keywords: two phase moving boundary problems
zbMATH Keywords: spheres
zbMATH Keywords: cylinders
zbMATH Keywords: integral formulations
zbMATH Keywords: inward thawing
zbMATH Keywords: outward thawing
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01176600
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description: scientific article; zbMATH DE number 3956506