The phase-change interface is a non-linear mathematical problem, and the superposition principle is not suitable for the solution. At present, only a few researches contribute to the analytical solution on the phase-change problem. The advantage of the analytical solution is that it costs a few computational sources and results can be used to predict another situation with different conditions. To understand the heat-transfer character of phase-change materials (PCM), a one-dimensional physical model of the phase transition is established and the corresponding experiments are developed. Phase-change process of pure paraffin and composite PCM is analyzed with the method of the Runge-Kutta and verified by experiments. The temperature curves of the analytical solution have a consistent tendency with that of the experimental results. The temperature difference of experimental data (10.04°C) is smaller in the melting process of pure paraffin, while that of analytical solution (5.18°C) is smaller in the melting process of composite PCM. By comparing the experimental data and analytical solutions, it is found that natural convection dominates the melting of pure paraffin, while heat conduction dominates the melting of composite PCM.

相变接口是一个非线性数学问题，并且叠加原理不适合求解。目前，只有很少的研究对相变问题的解析解做出了贡献。分析解决方案的优点在于，它花费了一些计算资源，并且结果可用于预测具有不同条件的另一种情况。为了解相变材料的传热特性，建立了相变的一维物理模型并进行了相应的实验。用Runge-Kutta方法分析了纯石蜡与复合PCM的相变过程，并通过实验验证。分析溶液的温度曲线具有与实验结果一致的趋势。在纯石蜡的熔化过程中，实验数据的温度差（10.04°C）较小，而在复合PCM的熔化过程中，分析溶液的温度差（5.18°C）较小。通过比较实验数据和分析解决方案，发现自然对流主导了纯石蜡的熔化，而热传导主导了复合PCM的熔化。