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(n 1) is identified with minor effects at large values of the Stefan number b (slow interface movement). The correct O(n 1/2) 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  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email 0 F Investigator Doctorate   0 A.S. Researcher Doctorate   0 A. Researcher Doctorate   Back To Researches Page