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Application of sensitivity coefficients for heat conduction problems

机译:灵敏度系数在热传导问题中的应用

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摘要

In parameter estimation, considerable insight is provided by examining sensitivity coefficients. This article focuses on the use of sensitivity coefficients in connection with estimating thermal properties in the heat conduction equation. It is demonstrated how sensitivity coefficients are used in the design/analysis of parameter estimation experiments. A general methodology for computing sensitivity coefficients can be an important design tool in many other regards also. A control-volume, finite-element program is used to implement numerical sensitivity coefficient calculations. In this approach, general problems can be studied. Several example cases are presented to demonstrate the insight gained from sensitivity coefficients. The cases are selected from experimental studies to characterize the thermal properties of carbon - carbon composite. However, no experimental data are reported. Sensitivity coefficients show that in an experiment that is not well designed, additional materials in the experimental configuration can have a larger impact on the temperature than the material of interest. Two-dimensional configurations demonstrate that there can be isolated areas of insensitivity and the difficulty of estimating multiple parameters.
机译:在参数估计中,通过检查灵敏度系数可以提供相当多的见识。本文着重于在热传导方程中估计热特性时结合使用灵敏度系数。演示了如何在参数估计实验的设计/分析中使用灵敏度系数。在许多其他方面,用于计算灵敏度系数的通用方法也可能是重要的设计工具。控制量有限元程序用于执行数值灵敏度系数计算。用这种方法,可以研究一般问题。给出了几个示例案例,以证明从灵敏度系数中获得的见解。这些案例是从实验研究中选择的,以表征碳-碳复合材料的热性能。但是,没有实验数据的报道。灵敏度系数表明,在设计不当的实验中,实验配置中的其他材料比目标材料对温度的影响更大。二维配置表明,可能存在不敏感的孤立区域,并且难以估计多个参数。

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