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本文建立了平面热源法实验条件下的非稳态导热的数学模型 ,应用拉普拉斯变换和热四端网络法 ,求解了实验测量系统的解析模型和各种相应的简化模型。根据参数估计的基本原理 ,对模型中的待估计参数做了灵敏度分析。建立了实验测量系统 ,可以满足 2 0～ 2 0 0℃环境下固体材料蓄热系数测量的需要。测量了常温下几种材料的蓄热系数 ,测量结果与热线法实验结果相吻合
In this paper, the mathematical model of unsteady heat conduction under the planar heat source method was established. The analytical model and various corresponding simplified models of the experimental measurement system were solved by using Laplace transform and thermal four-terminal network method. According to the basic principle of parameter estimation, the sensitivity analysis of the parameters to be estimated in the model is done. The experimental measurement system is established to meet the need of measuring the heat storage coefficient of solid materials at 20 ~ 200 ℃. The heat storage coefficients of several materials at room temperature were measured and the results were in good agreement with the hot wire method