考虑环境热损失,建立了单根碳纤维沿轴向的导热方程,得到了碳纤维热参数与交流加热信号的频域特性之间的关系。建立了适用于微细导电线或丝的3ω测试系统。利用3ω方法同时测量了单根碳纤维沿轴向的导热系数和热容。在室温下测量了Pt丝的导热系数和热容,验证了建立的实验系统的合理性,利用该方法测量的直径为7μm单根碳纤维沿轴向的导热系数和热容分别为84.35W·m^-1·K^-1。和1.19MJ·m^-1·K^-1。给出了实验测量的不确定度分析。建立的实验系统可用于单根碳纳米管或导电纳米线热参数的表征。
An experimental system of 3ω-method with noise cancellation circuit was designed to measure simultaneously the thermal conductivity and thermal capacity of an individually suspended wire. The appropriate data analysis technique, in which the heat transport in the wire is modeled as one-dimensional diffusion taking into account ambient air convection, was developed for fitting the experimental results and correcting the errors caused by the heat loss in the measurements. To evaluate the validity and accuracy of the developed experimental system we performed measurements on a Pt wire. The first successful measurements on an individual polyacrylonitrile-based carbon fiber of 7 μm in diameter were performed, which yielded the thermal conductivity of 84.35 W·m^-1·K^-1, thermal capacity of 1.19 MJ · m^-3 · K^-1 at room temperature. The relative uncertainty of the measurements was analyzed.