On the convergence of the heat balance integral method

Description

No / Convergence 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.

Links & Downloads

1. Mosally, 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.
2. http://hdl.handle.net/10454/3174
3. https://doi.org/10.1016/j.apm.2004.12.001

Tags

Heat balance integral

Phase change

Convergence

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/3174
Date	28 July 2009
Creators	Mosally, F., Wood, Alastair S., Al-Fhaid, A.
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Article, No full-text available in the repository