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引言 对于某一试材,已知它边界上或内部的一些温度“和/或”热流值,来反求材料的热物性参数,这是一类热传导的反问题。关于此问题可采用非线性最小二乘法求解,并已有一些文献报道了这方面的研究。在这些文献中,侧重理论方法,实验很少。 用非线性最小二乘法测试热物性的原理可简述为:根据最小二乘法原理,由实验测得的一组温度数据与它们相对应的理论值之差的平方和为最小作为判据,来确定热物性。
INTRODUCTION For some test material, some temperature and / or heat flow values on or near the boundary are known to reverse the thermophysical parameters of the material, which is the inverse problem of a kind of heat conduction. This problem can be solved by nonlinear least square method, and some studies have been reported in this field. In these literatures, there are few experiments focusing on the theoretical methods. The principle of non-linear least-squares test of thermophysical properties can be summarized as follows: According to the principle of least squares, the sum of the squares of the difference between a set of experimental temperature data and their corresponding theoretical value is taken as the criterion Determine thermal properties.