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The Application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters
International Journal of Thermophysics ( IF 2.2 ) Pub Date : 2024-01-23 , DOI: 10.1007/s10765-023-03311-1
Svetozár Malinarič

The finite elements method (FEM) is used to improve the extended dynamic plane source (EDPS) method to obtain more accurate values of the thermal conductivity and diffusivity of the specimen. A method of transformation of the FEM-calculated response into an analytical form, which can be used in fitting the measured temperature response, has been described and verified. Furthermore, a modification of the EDPS method designated as EDPS1 is designed, where only one piece of specimen is used. Since there is no analytical formula for the new method, the analytical formula for EDPS is used. Hence, the initial estimates of the specimen parameters for the EDPS1 method are very rough and the FEM numerical evaluations must be repeated several times until the estimates reach relative errors of around 1%.



中文翻译:

有限元法在热物理参数瞬态测量中的应用

采用有限元法(FEM)改进扩展动态平面源(EDPS)法,以获得更准确的试件导热系数和扩散系数值。描述并验证了一种将 FEM 计算的响应转换为分析形式的方法,该方法可用于拟合测量的温度响应。此外,还设计了 EDPS 方法的一种修改,称为 EDPS1,其中仅使用一个样本。由于新方法没有解析公式,因此使用EDPS的解析公式。因此,EDPS1 方法的样本参数的初始估计非常粗略,并且必须重复 FEM 数值评估多次,直到估计达到 1% 左右的相对误差。

更新日期:2024-01-24
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