An a priori upper bound estimate for conduction heat transfer problems with temperature-dependent thermal conductivity

Gama Rogerio M. S.

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An a priori upper bound estimate for conduction heat transfer problems with temperature-dependent thermal conductivity

机译：具有温度依赖性导热性的传热问题的先验上限估计

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摘要

This article presents an a priori upper bound estimate for the steady-state temperature distribution in a body with any temperature-dependent thermal conductivity, generalizing a previous result (Gama et al., 2013) [1]. The discussion is carried out assuming a large class of nonlinear boundary conditions (for instance representing thermal radiant interchange). These estimates consist of a powerful tool that may avoid an expensive numerical simulation of a nonlinear heat transfer problem, whenever it suffices to know the highest temperature. 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) 2018 Elsevier Ltd. All rights reserved.

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《Mechanics research communications》 |2018年第2018期|共5页
作者
Gama Rogerio M. S.;
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Univ Estado Rio De Janeiro Rua Sao Fco Xavier 524 BR-20550013 Rio De Janeiro Brazil;

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正文语种 eng
中图分类应用力学;
关键词
Nonlinear heat conduction; Piecewise constant temperature-dependent thermal conductivity; Upper bound estimate; Kirchhoff transformation; Nonlinear boundary conditions;

机译：非线性导热;分段恒温依赖性导热率;上限估计;柯克霍夫转型;非线性边界条件;

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1. An a priori upper bound estimate for conduction heat transfer problems with temperature-dependent thermal conductivity [J] . Gama Rogerio M. S. Mechanics research communications . 2018,第期

机译：具有温度依赖性导热性的传热问题的先验上限估计
2. An unconstrained mathematical description for conduction heat transfer problems with linear temperature-dependent thermal conductivity [J] . Martins-Costa Maria Laura, de Freitas Rachid Felipe Bastos, Saldanha da Gama Rogerio M. International journal of non-linear mechanics . 2016,第May期

机译：具有线性温度相关导热系数的传导传热问题的无限制数学描述
3. An upper temperature bound for steady-state conduction heat transfer problems with a linear relationship between temperature and conductivity [J] . Rogerio M. Saldanha da Gama, Wendel Fonseca da Silva, Eduardo D. Correa, High temperatures-high pressures . 2014,第1期

机译：稳态传导传热问题的温度上限，温度与传导率之间呈线性关系
4. Nonlinear heat conduction in materials with temperature-dependent thermal conductivity using hybrid finite element model [C] . Xin-juan Zhao, Ji-yi Zhao International Conference on Manufacturing Science and Engineering . 2012

机译：采用混合有限元模型，具有温度依赖性导热性的材料的非线性导热
5. Estimation of interface thermal resistance and thermal conductivity using an inverse heat transfer procedure. [D] . Goudie, Norman J. 1995

机译：使用逆传热程序估算界面热阻和导热系数。
6. Steady heat conduction-based thermal conductivity measurement of single walled carbon nanotubes thin film using a micropipette thermal sensor [O] . R. Shrestha, K. M. Lee, W. S. Chang, -1

机译：使用微量移液器热传感器基于热传导的单壁碳纳米管薄膜的稳态热导率测量
7. Approximate solution of the nonlinear heat transfer equation of a fin with the power-law temperature-dependent thermal conductivity and heat transfer coefficient [O] . Mosayebidorcheh Sobhan, Ganji D.D., Farzinpoor Masoud 2014

机译：鳍的非线性热传递方程的近似解，具有幂律温度相关的热导率和热传递系数
8. Comparison of the Finite Difference and Finite Element Methods for the Solution of the Transient Heat Conduction Equation with Temperature-Dependent Conductivity. [R] . Sabochick, M. J. 1982

机译：作者：张莹莹，王汝传，电机与控制学报ELECTRIC maCHINEs aND CONTROL具有温度依赖性电导率的瞬态热传导方程有限差分和有限元法的比较。

An a priori upper bound estimate for conduction heat transfer problems with temperature-dependent thermal conductivity

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