一维热传导条件下测点温度与加热时间的相关性研究

Correlation between the Measured Point Temperature and the Heating Time under the Conditions of One-Dimensional Heat Conduction

摘要: 针对线性加热装置在热传导过程中测试点温度随加热时间的变化问题，研究了加热装置中心点处辐射值E与功率P之间的关系式，基于周边传导介质的性质，推导了考虑时间延迟参数的一维热传导模型，并通过加热棒为装置进行了热传导实验，验证了理论模型的适宜性。研究结果表明，受热传导影响而测试点温差逐渐提高时，测试点温度变化斜率逐渐减小并趋于稳定。通过对理论计算的温度值与实测温度值进行了对比表明，实验初期相对误差最大达到20%，但随着加热时间和热源功率的增加，两者的温差逐渐减小并趋于零，说明本文推导的理论计算公式符合实际。

Abstract: In order to study the relationship between the changes of linear heating device testing point temperature and heating time in the heat transfer process, we study the relevance between radiation values E and the power P at the center of the heating device. Based on the nature of the surrounding conductive medium, we derived one-dimensional heat conduction model which considered the time delay parameters. We verify the suitability of the theoretical model through laboratory experiments by heating bar arrangement. The results show that test point temperature slope is gradually reduced and stabilized when the test point temperature difference gradually rises in the effect of heat conduction. Through the measured temperature values compared with theoretical calculations, it showed that the maximum relative error reached 20% in early experiments, but the temperature difference decreased and tended to zero with the increase of heating time and source of power, showed that theoretical formula derived realistic in this paper.