On the convergence of the heat balance integral method |
| |
Institution: | 1. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, 21589 Jeddah, Saudi Arabia;2. School of Engineering, Design and Technology, University of Bradford, Bradford, West Yorkshire BD7 1DP, UK |
| |
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 β (slow interface movement). The correct O(n−1/2) behaviour for incident heat flux is recovered for β → 0 (pure heat conduction) as previously found Numer. Heat Transfer 8 (1985) 373–382]. Numerical illustrations support the theoretical findings. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|