On the perturbation method for the Stefan problem with time-dependent boundary conditions

被引：64

作者：

Caldwell, J ^{[1
]}

Kwan, YY ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2003年 / 46卷 / 08期

关键词：

moving boundary; Stefan problem; perturbation method;

D O I：

10.1016/S0017-9310(02)00415-5

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Perturbation methods are developed for Stefan problems with time-dependent boundary conditions. The methods are applied to melting of ice in the half-plane, outward spherical solidification and outward cylindrical solidification of a saturated liquid. The results are shown to compare well with those obtained by other numerical methods. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1497 / 1501

页数：5

共 7 条

[1]

[Anonymous], 1984, PERTURBATION METHODS

[2]

Caldwell J, 2002, COMPUTAT STUDIES, V4, P165

[3]

HUANG CL, 1975, INT J HEAT MASS TRAN, V18, P1481

[4] COUPLED INTEGRAL-EQUATION APPROACH FOR SOLVING MELTING OR SOLIDIFICATION [J].

MENNIG, J ;

OZISIK, MN .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1985, 28 (08) :1481-1485

[5] PERTURBATION SOLUTIONS FOR SPHERICAL SOLIDIFICATION OF SATURATED LIQUIDS [J].

PEDROSO, RI ;

DOMOTO, GA .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1973, 95 (01) :42-46

[6] EXACT SOLUTION BY PERTURBATION METHOD FOR PLANAR SOLIDIFICATION OF A SATURATED LIQUID WITH CONVECTION AT WALL [J].

PEDROSO, RI ;

DOMOTO, GA .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1973, 16 (09) :1816-1819

[7] PERTURBATION SOLUTIONS FOR SOLIDIFICATION PROBLEMS [J].

STEPHAN, K ;

HOLZKNECHT, B .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1976, 19 (06) :597-602

← 1 →