Measurement of thermal conductivity of materials using single-side TPS technique

SUN Jian-qiang, LI Yan-ning

（State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China）

Abstract： Based on the traditional measurement theory of transient plane source (TPS) technique, single-side TPS method is proposed for measuring the thermal conductivity of single specimen. The problem of transient heat conduction in a semi-infinite boundary condition is studied and the theoretical formula of single-side TPS method is deduced. During the measurement, the influence of the probe heat capacity on the results is analyzed and the corresponding mathematical compensation model is established, and a series of experiments on different materials are conducted by hot disk probe at normal temperature and pressure. The results show that the relative error with the single-side TPS method is less than 5% and the relative standard deviation is no greater than 3%. This method has high accuracy and good reproducibility, which provides a feasible measuring method for single material that does not meet the requirements of the standard TPS theory.

Key words： single-side transient plane source (TPS) method; thermal conductivity; single material; probe heat capacity

CLD number： TB94  Document code： A

Article ID： 1674-8042（2019）03-0285-08  doi： 103969/jissn1674-8042201903012

References

［1］Huang L, Liu L S. Simultaneous determination of thermal conductivity and thermal diffusivity of food and agricultural materials using a transient plane-source method. Journal of Food Engineering, 2009, 95(1): 179-185.
［2］Cha J, Kim S, Park K W, et al. Improvement of window thermal performanc using aerogel insulation film for building energy saving. Journal of Thermal Analysis & Calorimetry, 2014, 116(1): 219-224.
［3］Xie T, He Y L, Hu Z J. Theoretical study on thermal conductivities of silica aerogel composite insulating material. International Journal of Heat & Mass Transfer, 2013, 58 (1/2): 540-552.
［4］Salmon D. Thermal conductivity of insulations using guarded hot plates, including recent developments and sources of reference materials. Measurement Science and Technology, 2001, 12 (12): R89.
［5］Sizov A, Cederkrantz D, Salmi L, et al. Thermal conductivity versus depth profiling of inhomogeneous materials using the hot disc technique. Review of Scientific Instruments, 2016, 87(7): 797-377.
［6］Wang Y W, Li Y N. Influence of heat loss through the probe electrical leads on thermal conductivity measurement with TPS method. Journal of Measurement Science and Instrumentation, 2018, 9(1): 9-15.
［7］Zhang H, Jin Y, Gu W, et al. A numerical study o the influence of insulating layer of the hot disk sensor on the thermal conductivity measuring accuracy. Progress in Computational Fluid Dynamics, 2013, 13(3/4): 191-201.
［8］Gustafsson, Silas E. Transient plane source techniques for thermal conductivity and thermal diffusivity measurements of solid materials, Review of Scientific Instruments, 1991, 62(3): 797-804.
［9］Zhang H , Li M J , Fang W Z , et al. A numerical study on the theoretical accuracy of film thermal conductivity using transient plane source method. Applied Thermal Engineering, 2014, 72 (1): 62-69.
［10］Ohmura T, Tsuboi M, Tomimura T, et al. Estimation of the mean thermal conductivity of anisotropic materials. International Journal of Thermophysics. 2002, 23(3): 843-853.
［11］Malinari  S, Die ka P. Concentric circular strips model of the transient plane source sensor. International Journal of Thermophysics, 2015, 36(4): 692-700.
［12］Gustafsson S E, Karawacki E. Transient hot-strip probe for measuring thermal properties of insulating solids and liquids.Review of Scientific Instruments, 1983, 54(6): 744-747.
［13］International Organization for Standardization(ISO). ISO 22007-2:2015 Plastics—Determination of thermal conductivity and thermal diffusivity —Part 2: Transient plane heat source (hot disc) method. Switzarland, ISO, 2008. TPS

单面法测量材料导热系数

孙建强， 李艳宁

（天津大学 精密测试技术及仪器国家重点实验室，天津 300072）

摘要:在传统瞬态平面热源（Transient plane source, TPS）法测量理论的基础上， 提出了一种可用于测量单试件材料导热系数的TPS单面法。 通过研究半无限边界条件下瞬态热传导问题， 推导了TPS单面法的理论公式， 分析了测量过程中探头热容对测量结果的影响， 建立了相应的数学补偿模型， 并在常温常压下利用hot disk探头对不同材料开展了一系列实验。 结果表明， TPS单面法测量材料导热系数的相对误差小于5%， 相对标准偏差低于3%。 该方法具有良好的准确度和重复性， 为不满足标准TPS法测试要求的单试件材料提供了可行的测量手段。

关键词:TPS单面法； 导热系数； 单试件材料； 探头热容

引用格式：SUN Jian-qiang, LI Yan-ning. Measurement of thermal conductivity of materials using single-side TPS technique. Journal of Measurement Science and Instrumentation, 2019, 10（3）： 285-292. ［doi： 103969／jissn1674-8042201903012］

[full text view]