Application of the combined integral method to Stefan problems

被引：25

作者：

Myers, T. G. ^{[1
]}

Mitchell, S. L. ^{[2
]}

机构：

[1] Ctr Recerca Matemat, Barcelona 08193, Spain

[2] Univ Limerick, MACSI, Dept Math & Stat, Limerick, Ireland

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 09期

基金：

爱尔兰科学基金会;

关键词：

Heat balance integral method; Stefan problems; Phase change; Perturbation solution; HEAT-BALANCE; DIFFUSION; OXYGEN;

D O I：

10.1016/j.apm.2011.02.049

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we present a new, accurate form of the heat balance integral method, termed the combined integral method (CIM). The application of this method to Stefan problems is discussed. For simple test cases the results are compared with exact and asymptotic limits. In particular, it is shown that the CIM is more accurate than the second order, large Stefan number, perturbation solution for a wide range of Stefan numbers. In the initial examples it is shown that the CIM reduces the standard problem, consisting of a PDE defined over a domain specified by an ODE, to the solution of one or two algebraic equations. The latter examples, where the boundary temperature varies with time, reduce to a set of three first order ODEs. (X) 2011 Elsevier Inc. All rights reserved.

引用

页码：4281 / 4294

页数：14

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