大学物理 ›› 2026, Vol. 45 ›› Issue (1): 105-.doi: 10.16854/j.cnki.1000-0712.250251

• 大学生园地 • 上一篇    下一篇

稳态法测量导热系数实验的温度补偿优化

邢程亮,宋飞 ,张留碗   

  1. 1. 清华大学 求真书院,北京100084;2. 清华大学 物理系,北京100084
  • 出版日期:2026-04-13 发布日期:2026-04-22

The temperature compensation optimization for steady-state method #br# thermal conductivity measurement experiments#br#

XING Chengliang1, SONG Fei2, ZHANG Liuwan2   

  1. 1. Qiuzhen College, Tsinghua University, Beijing 10084, China; 
    2. Department of Physics, Tsinghua University, Beijing 10084, China
  • Online:2026-04-13 Published:2026-04-22

摘要: 本文针对稳态法的加热和散热铜盘在稳态下的温度分布模型进行优化,经实验测得系统径向温度梯度以及纵向温度梯度,经过校正后计算得到纵向梯度为-0.221 ℃/cm,径向温度梯度为-0.0045 ℃/cm,基于温度线性分布的假设反演出热平衡时待测样品上下表面的温差以及散热盘总热量随时间的变化率,得出待测样品的导热系数为0.157 W/(m·K),较传统方法数据精度实现了6.0%的相对数值优化. 


关键词: 稳态法, 导热系数, 柱面坐标系, 温度梯度

Abstract: We measure the radial and axial temperature gradients in a steady-state thermal conductivity experiment.  After calibration, the axial gradient is determined to be -0.221°C/cm, while the radial gradient measures -0.0045°C/cm. Under the assumption of linear temperature distribution, the temperature difference between the upper and lower surfaces of the test sample at thermal equilibrium is reconstructed. Additionally, the time-dependent heat dissipation rate of the cooling disk is quantified. The results demonstrate that the thermal conductivity of the sample is 0.157 W/(m·K), representing a 6.0% improvement in measurement accuracy compared to conventional methods.


Key words: steady-state method, thermal conductivity, cylindrical coordinate system, temperature gradient