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On the convergence of the heat balance integral method

By F. Mosally, Alastair S. Wood and A. Al-Fhaid

Abstract

NoConvergence 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

Topics: Heat balance integral, Phase change, Convergence
Year: 2009
DOI identifier: 10.1016/j.apm.2004.12.001
OAI identifier: oai:bradscholars.brad.ac.uk:10454/3174
Provided by: Bradford Scholars
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