The Enthalpy Method for Heat Conduction Problems With Moving Boundaries

被引：44

作者：

Hunter, L. W. ^{[1
]}

Kuttler, J. R. ^{[1
]}

机构：

[1] Johns Hopkins Univ, Appl Phys Lab, Laurel, MD 20707 USA

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 1989年 / 111卷 / 1-4期

关键词：

Conduction; Phase-Charge Phenomena;

D O I：

10.1115/1.3250668

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The purpose of this paper is to demonstrate how an enthalpy method for heat conduction problems with moving boundaries associated with phase changes can be combined with Kirchhoff and coordinate transformations to put these problems in a particularly simple form. All nonlinearities in density, conductivity, and specific heat can be concentrated in the functional relation between enthalpy and the generalized temperature. Convection in the fluid is neglected. A simple numerical example is included.

引用

页码：239 / 242

页数：4

共 34 条

[1]

Cannon J. R., 1984, ENCY MATH ITS APPL, V23

[2] A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type [J].

Crank, J ;

Nicolson, P .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 6 (3-4) :207-226

[3]

Crank J., 1981, NUMERICAL METHODS HE, P177

[4]

CRANK J, 1984, FREE MOVING BOUNDARY, pCH6

[5]

Dongarra JJ, 1979, LINPACK USERS GUIDE

[6]

Elliott C.M., 1982, WEAK VARIATIONAL MET

[7] THE CALCULATION OF VARIABLE HEAT FLOW IN SOLIDS [J].

EYRES, NR ;

HARTREE, DR ;

INGHAM, J ;

JACKSON, R ;

SARJANT, RJ ;

WAGSTAFF, JB .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1946, 240 (813) :1-57

[8]

FORSYTHE GE, 1960, FINITE DIFFERENCE ME, pCH2

[9]

Furzeland R.M., 1980, J I MATH APPL, V26, P411

[10]

GALDWELL I, 1979, SURVEY NUMERICAL MET, pCH20

← 1 2 3 4 →