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Document Details
Document Type
:
Article In Journal
Document Title
:
On the convergence of the heat balance integral method
On the convergence of the heat balance integral method
Subject
:
On the convergence of the heat balance integral method
Document Language
:
English
Abstract
:
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(n1) is identified with minor effects at large values of the Stefan number b (slow interface movement). The correct O(n1/2) behaviour for incident heat flux is recovered for b ! 0 (pure heat conduction) as previously found [Numer. Heat Transfer 8 (1985) 373–382]. Numerical illustrations support the theoretical findings.
ISSN
:
0000000
Journal Name
:
Applied Mathmatical Modelling
Volume
:
29
Issue Number
:
10
Publishing Year
:
1426 AH
2005 AD
Number Of Pages
:
10
Article Type
:
Article
Added Date
:
Monday, June 15, 2009
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