Difference scheme for hyperbolic heat conduction equation with pulsed heating boundary

被引：0

作者：

Li J. ^{[1
]}

Zhang Z. ^{[1
]}

Liu D. ^{[1
]}

机构：

[1] Institute of Engineering Thermophysics, Chinese Academy of Sciences

来源：

Journal of Thermal Science | 2000年 / 9卷 / 2期

关键词：

Numerical method; Pulsed heating boundary; Second-order hyperbolic differential equation;

D O I：

10.1007/s11630-000-0010-5

中图分类号：

学科分类号：

摘要：

In this paper, the authors have analyzed the second-order hyperbolic differential equation with pulsed heating boundary, and tried to solve this kind of equation with numerical method. After analyzing the error of the difference scheme and comparing the numerical results with the theoretical results, the authors present some examples to show how the thermal wave propagates in materials. By analyzing the calculation results, the conditions to observe the thermal wave phenomena in the laboratory are conferred. Finally the heat transfer in a complex combined structure is calculated with this method. The result is quite different from the calculated result from the parabolic heat conduction equation.

引用

页码：152 / 157

页数：5

共 50 条

[41] Oscillation of nonlinear impulsive delay hyperbolic equation with application to hyperbolic heat conduction
Liu, AP
Xu, DY
Li, YN
Liu, T
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 568 - 573
[42] Propagation of boundary of inhomogeneous heat conduction equation
Abdel-Rahman, RG
APPLIED MATHEMATICS AND COMPUTATION, 2003, 141 (2-3) : 231 - 239
[43] General boundary element method for non-linear heat transfer problems governed by hyperbolic heat conduction equation
Liao, S
COMPUTATIONAL MECHANICS, 1997, 20 (05) : 397 - 406
[44] General boundary element method for non-linear heat transfer problems governed by hyperbolic heat conduction equation
S. Liao
Computational Mechanics, 1997, 20 : 397 - 406
[45] Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
Wu, XN
Sun, ZZ
APPLIED NUMERICAL MATHEMATICS, 2004, 50 (02) : 261 - 277
[46] An explicit TVD scheme for hyperbolic heat conduction in complex geometry
Shen, WS
Han, S
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2002, 41 (06) : 565 - 590
[47] DIFFERENCE SCHEME OF SOLVING MIXED PROBLEM FOR A DEGENERATE HYPERBOLIC EQUATION
KOKOSZKIEWICZ, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (01): : 77 - 79
[48] Determination of Temperature Distribution and Thermal Stress for the Hyperbolic Heat Conduction Equation due to Laser Short Pulse Heating
Al-Duhaim, H. R.
Yilbas, B. S.
Zaman, F. D.
LASERS IN ENGINEERING, 2016, 35 (5-6) : 275 - 301
[49] A generalized thermal boundary condition for the hyperbolic heat conduction model
M. A. Al-Nimr
A. F. Khadrawi
M. Hammad
Heat and Mass Transfer, 2002, 39 : 69 - 79
[50] A generalized thermal boundary condition for the hyperbolic heat conduction model
Al-Nimr, MA
Khadrawi, AF
Hammad, M
HEAT AND MASS TRANSFER, 2002, 39 (01) : 69 - 79

← 1 2 3 4 5 →