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dc.contributor.authorMosally, F.*
dc.contributor.authorWood, Alastair S.*
dc.contributor.authorAl-Fhaid, A.*
dc.date.accessioned2009-07-28T10:41:33Z
dc.date.available2009-07-28T10:41:33Z
dc.date.issued2009-07-28T10:41:33Z
dc.identifier.citationMosally, F., Wood, A.S. and Al-Fhaid, A. (2005) On the convergence of the heat balance integral method. Applied Mathematical Modelling. Vol. 19, No. 10, pp. 903-912.en
dc.identifier.urihttp://hdl.handle.net/10454/3174
dc.descriptionNoen
dc.description.abstractConvergence properties are established for the piecewise linear heat balance integral solution of a benchmark moving boundary problem, thus generalising earlier results [Numer. Heat Transfer 8 (1985) 373]. A convergence rate of O(n¿1) is identified with minor effects at large values of the Stefan number ß (slow interface movement). The correct O(n¿1/2) behaviour for incident heat flux is recovered for ß ¿ 0 (pure heat conduction) as previously found [Numer. Heat Transfer 8 (1985) 373¿382]. Numerical illustrations support the theoretical findings.en
dc.language.isoenen
dc.relation.isreferencedbyhttp://dx.doi.org/10.1016/j.apm.2004.12.001en
dc.subjectHeat balance integralen
dc.subjectPhase changeen
dc.subjectConvergenceen
dc.titleOn the convergence of the heat balance integral methoden
dc.status.refereedYesen
dc.typeArticleen
dc.type.versionNo full-text available in the repositoryen


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