ABSTRACT

The objective of the current research work is to provide the optimum experiment and heating times in dimensionless form to be used for the simultaneous estimation of thermal properties when running a plane source-based experiment. In detail, they are thermal conductivity, volumetric heat capacity and contact resistance. These optimum times are limited to high-conductivity materials and are obtained by using a D-optimum criterion for different values of the heater heat capacity and contact resistance. These two parameters (that actually are not of interest) come from the use of a novel mathematical modelling of the plane source apparatus. It is based on a boundary condition of the sixth kind applied to the sample to adequately describe the heat diffusion between the heater and the same specimen. Then, for an experimental ease-of-use, the optimum experiment and heating times are given in a graphical form as a function of the heater heat capacity with the contact resistance as a parameter. Correlations fitting the graphical results are also provided. A numerically simulated measurement shows the use of these graphics.

摘要

当前研究工作的目标是以无量纲形式提供最佳实验和加热时间，以用于在进行基于平面源的实验时同时估算热性能。详细地，它们是导热率，体积热容和接触电阻。这些最佳时间仅限于高电导率材料，并且可以通过对加热器热容量和接触电阻的不同值使用D-最佳准则来获得。这两个参数（实际上不重要）来自平面源设备的新型数学建模。它基于应用于样品的第六种边界条件来充分描述加热器和同一样品之间的热扩散。然后，为了实验上的易用性，最佳实验和加热时间以图形形式给出，它是加热器热容量的函数，而接触电阻是一个参数。还提供了适合图形结果的相关性。数值模拟的测量显示了这些图形的使用。