A Method for Estimating Amount of Stored Heat in PCM that Exchange Heat with Flowing Water

我们推导了估算与流动水交换热量的相变材料(PCM)中储热量随时间变化的方程。关于相变温度范围，相变调制有两种类型。一个有射程，另一个没有射程。我们推导了这两种相变调制的方程。没有对这些案件进行严格的分析。因此，我们考虑了基于若干近似来获得近似解的方法。通过将近似解析结果可视化并与数值模拟结果进行比较，验证了近似解析结果作为估算相变储热量随时间变化的方程的适用性。

We derived equations to estimate the temporal change in the amount of stored heat in phase change material (PCM) that exchange heat with flowing water. There are two types of PCM concerning the range of the phase-change temperature. One has the range, and the other doesn't have the range. We derived the equations for the both types of the PCM. No rigorous analysis has been carried out for these cases. Therefore, we considered methods to obtain approximate solutions based on a number of approximations. By visualizing the approximate analytical results and comparing them with the numerical simulation results, we checked the applicability of the approximate analytical results as the equations to estimate the temporal change in the amount of stored heat in the PCM.