Sensitivity Analysis for Nonlinear Heat Conduction

Kevin J. Dowding; Bennie F. Blackwell

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Sensitivity Analysis for Nonlinear Heat Conduction

机译：非线性热传导的灵敏度分析

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摘要

Parameters in the heat conduction equation are frequently modeled temperature de- pendent. Thermal conductivity, volumetric heat capacity, convection coefficients, emissiv- ity, and volumetric source terms are parameters that may depend on temperature. Many applications, such as parameter estimation, optimal experimental design, optimization, and uncertainty analysis, require sensitivity tot he parameters describing temperature- depedent properties. A general procedure to compute the sensitivity of the temperature field to model parameters for nonlinear heat conduction is studied. Parameters are mod- eled as arbitrary functions of temperature. Sensitivity equations are implemented in an unstructured grid, element-based numerical solver. The objectives of this study are to describe the methodology to derive sensitivity equations for the temperature-dependent parameters and present demonstration calculations. In addition to a verification problem, the design of an experiment to estimate temperature variable thermal properties is dis- cussed.

机译：导热方程中的参数通常是与温度有关的模型。导热系数，体积热容，对流系数，发射率和体积源项是可能取决于温度的参数。参数估计，最佳实验设计，优化和不确定性分析等许多应用都要求对描述温度依赖特性的参数具有敏感性。研究了计算温度场对非线性热传导模型参数的敏感性的通用程序。参数可作为温度的任意函数进行建模。灵敏度方程式是在非结构化网格，基于元素的数值求解器中实现的。这项研究的目的是描述用于导出与温度有关的参数的灵敏度方程式的方法，并演示计算方法。除了验证问题，还讨论了估算温度可变热特性的实验设计。

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来源
《Journal of Heat Transfer》 |2001年第1期|p.1-10|共10页
作者
Kevin J. Dowding; Bennie F. Blackwell;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
Conduction; Parameter Estimation; Heat Trnasfer;

机译：传导参数估计;传播热量;

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3. Boundary element analysis of nonlinear transient heat conduction problems involving non-homogenous and nonlinear heat sources using time-dependent fundamental solutions [J] . M. Mohammadi, M. R. Hematiyan, L. Marin Engineering analysis with boundary elements . 2010,第7期

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5. Quartz crystal microbalance/heat conduction calorimetry (QCM/HCC), a new technology capable of isothermal, high sensitivity, mass and heat flow measurements at a solid/gas interface. [D] . Shirazi, Hamid M. 2000

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6. Application of Genetic Algorithms in Nonlinear Heat Conduction Problems [O] . Muhammad Bilal Kadri, Waqar A. Khan -1

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7. Nonlinear Heat Conduction through an Externally Heated Radiant Plasma: Background Analysis for a Numerical Study [O] . Broadbridge Phil, Lavrentiev Mikhail M., Williams Graham H. 1999

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8. ORMDIN: A Finite Element Program for Two-Dimensional Nonlinear Inverse Heat Conduction Analysis [R] . Bass, B. R., Drake, J. B., Ott, L. J. 1980

机译：ORmDIN：二维非线性逆热传导分析的有限元程序

Sensitivity Analysis for Nonlinear Heat Conduction

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