摘要
本文基于瞬态平面热源(TPS)法测量物质导热系数的原理,针对探头温升模型中贝瑟尔函数的积分运算求解复杂的问题,修正了文献[9]中方形探头简化模型的参数,使其适用于TPS法国际标准规定的圆形探头.该模型和原有模型的误差分析表明,二者具有很好的相关性,可以替代原有模型进行导热系数的计算,而且多项式的运算效率明显高于贝瑟尔函数的积分运算效率.基于该简化模型,针对热物理性能标准材料奥氏体不锈钢和Pyroceram 9606在常温、常压下的导热系数进行了测量,结果表明,测量结果和标准值的误差分别为2.1%和1.8%,验证了该模型的有效性.
Based on the principle of transient plane source （TPS） method for thermal conductivity meas- urement , to deal with the complicated problem of Bessel function integral operation in the temperature rising model of the probe, this paper modifies some parameters of the simplified model of square probe proposed in Ref. [ 9 ] , to make it applicable to the calculation of the circular probe which is used in the ISO files. The error analysis of the simplified model and original model shows good correlation between them. The simplified model can replace the original one for the calculation of thermal conductivity. And the efficiency of the arithmetic polynomial is significantly higher than the efficiency of integral operation of Bethel function. Based on the simplified model, the thermal conduetivities of austenitic stainless steel and Pyroceram 9606 which are the standard materials of thermal properties are measured under atmospheric pressure. The results show that the standard error is 2. 1% and 1.8% , respectively,which verified the validity of the proposed model.
作者
丰正功
李艳宁
Feng Zhenggong Li Yanning(State Key Laboratory of Precision Measuring Technology and Instruments（ Tianjin University） ,Tianjin 300072, Chin)
出处
《纳米技术与精密工程》
CSCD
北大核心
2017年第4期323-327,共5页
Nanotechnology and Precision Engineering
关键词
导热系数
热扩散率
瞬态平面热源法
热传递
thermal conductivity
thermal diffusivity
transient plane source method
heat transmission
