An upper bound for the steady-state temperature for a class of heat conduction problems wherein the thermal conductivity is temperature dependent

被引：11

作者：

Saldanha da Gama, Rogerio M. ^{[1
]}

Correa, Eduardo D. ^{[1
]}

Martins-Costa, Maria Laura ^{[2
]}

机构：

[1] Univ Estado Rio de Janeiro, Mech Engn Grad Program FEN, BR-20550013 Rio De Janeiro, Brazil

[2] Univ Fed Fluminense, LMTA, Mech Engn Grad Program TEM PGMEC, BR-24210240 Niteroi, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2013年 / 69卷

关键词：

Nonlinear heat conduction; Temperature-dependent thermal conductivity; Upper bound estimate;

D O I：

10.1016/j.ijengsci.2013.04.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article presents an a priori upper bound estimate for the steady-state temperature distribution in a body with a temperature-dependent thermal conductivity. The discussion is carried out assuming linear boundary conditions (Newton law of cooling) and a piecewise constant thermal conductivity (when regarded as a function of the temperature). These estimates consist of a powerful tool that may circumvent an expensive numerical simulation of a nonlinear heat transfer problem, whenever it suffices to know the highest temperature value. In these cases the methodology proposed in this work is more effective than the usual approximations that assume thermal conductivities and heat sources as constants. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：77 / 83

页数：7

共 50 条

[1] An upper temperature bound for steady-state conduction heat transfer problems with a linear relationship between temperature and conductivity
Saldanha Da Gama, Rogerio M.
Da Silva, Wendel Fonseca
Correa, Eduardo D.
Martins-Costa, Maria Laura
HIGH TEMPERATURES-HIGH PRESSURES, 2014, 43 (01) : 55 - 68
[2] A Linear Approach Suitable for a Class of Steady-State Heat Transfer Problems with Temperature-Dependent Thermal Conductivity
Gama, R. M. S.
Pazetto, R.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021 (2021)
[3] An a priori upper bound estimate for conduction heat transfer problems with temperature-dependent thermal conductivity
Gama, Rogerio M. S.
MECHANICS RESEARCH COMMUNICATIONS, 2018, 92 : 87 - 91
[4] The singular boundary method for steady-state nonlinear heat conduction problem with temperature-dependent thermal conductivity
Mierzwiczak, Magdalena
Chen, Wen
Fu, Zhuo-Jia
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 91 : 205 - 217
[5] Steady-state determination of temperature-dependent thermal conductivity
Chantasiriwan, S
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2002, 29 (06) : 811 - 819
[6] Steady state heat conduction with a separable position and temperature dependent conductivity
S.U.N.Y. at Buffalo, Buffalo, United States
Boundary Elem Commun, 4 (15-18):
[7] A GENERAL MINIMUM PRINCIPLE FOR STEADY-STATE CONDUCTION HEAT TRANSFER PROBLEMS WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY SUBJECTED TO LINEAR ROBIN BOUNDARY CONDITIONS
Martins, Rogerio
da Gama, Saldanha
HEAT TRANSFER RESEARCH, 2018, 49 (05) : 413 - 422
[8] Shape Optimization of Steady-State Heat-Conduction Fields Considering Temperature Dependency of Thermal Conductivity Coefficient
Katamine, Eiji
Mikada, Shingo
Azegami, Hideyuki
HEAT TRANSFER-ASIAN RESEARCH, 2013, 42 (04): : 364 - 376
[9] The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem
Mierzwiczak, M.
Kolodziej, J. A.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (04) : 790 - 796
[10] Estimation of the temperature-dependent thermal conductivity in inverse heat conduction problems
Yang, CY
APPLIED MATHEMATICAL MODELLING, 1999, 23 (06) : 469 - 478

← 1 2 3 4 5 →