Numerical solution for the hyperbolic heat conduction problems in the radial-spherical coordinate system using a hybrid Green's function method

被引：15

作者：

Chen, Tzer-Ming ^{[1
]}

Chen, Ching-Chih ^{[1
]}

机构：

[1] Natl Taipei Univ Technol, Dept Vehicle Engn, Taipei 10643, Taiwan

来源：

INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2010年 / 49卷 / 07期

关键词：

Hyperbolic heat conduction; Green's function; Radial-spherical coordinate system; SURFACE RADIATION; FOURIER; EQUATION; FORMULATION;

D O I：

10.1016/j.ijthermalsci.2010.01.018

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The hyperbolic heat conduction problems in the radial spherical coordinate system are investigated by the hybrid Green's function method. The present method combines the Laplace transform for the time domain, Green's function for the space domain and F-algorithm acceleration method for fast convergence of the series solution. Three different examples problems have been analyzed by the present method. It is found that the present method does not exhibit numerical oscillations at the wave front and the numerical solutions are stable. (C) 2010 Elsevier Masson SAS. All rights reserved.

引用

页码：1193 / 1196

页数：4

共 25 条

[1] HYPERBOLIC HEAT-CONDUCTION EQUATION - A SOLUTION FOR SEMI-INFINITE BODY PROBLEM
BAUMEISTER, KJ
HAMILL, TD
[J]. JOURNAL OF HEAT TRANSFER, 1969, 91 (04): : 543 - +
[2] Carey G. F., 1982, Numerical Heat Transfer, V5, P309, DOI 10.1080/10407788208913451
[3] NUMERICAL-SOLUTION OF 2-DIMENSIONAL NONLINEAR HYPERBOLIC HEAT-CONDUCTION PROBLEMS
CHEN, HT
LIN, JY
[J]. NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1994, 25 (03) : 287 - 307
[4] NUMERICAL-ANALYSIS FOR HYPERBOLIC HEAT-CONDUCTION
CHEN, HT
LIN, JY
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (11) : 2891 - 2898
[5] A hybrid Green's function method for the hyperbolic heat conduction problems
Chen, Tzer-Ming
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (19-20) : 4273 - 4278
[6] HYPERBOLIC HEAT-CONDUCTION WITH SURFACE RADIATION
GLASS, DE
OZISIK, MN
VICK, B
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1985, 28 (10) : 1823 - 1830
[7] ON THE NUMERICAL-SOLUTION OF HYPERBOLIC HEAT-CONDUCTION
GLASS, DE
OZISIK, MN
MCRAE, DS
VICK, B
[J]. NUMERICAL HEAT TRANSFER, 1985, 8 (04): : 497 - 504
[8] A METHOD FOR THE NUMERICAL INVERSION OF LAPLACE TRANSFORMS
HONIG, G
HIRDES, U
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 10 (01) : 113 - 132
[9] Analytical solution for hyperbolic heat conduction in a hollow sphere
Jiang, FM
Sousa, ACM
[J]. JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2005, 19 (04) : 595 - 598
[10] KAO T, 1977, ASME, V99, P343

← 1 2 3 →