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本文从建筑外表隔热的角度,首先建立了相变传热的数学模型,利用拉普拉斯变换方法,分析了边界恒温作用下相变材料中的相变过程。而后从理论上导出了相界面移动位置和速率的计算公式,公式表明,相界面移动位置与时间的平方根成正比,相界面移动的速率与时间的平方根成反比,两者都与相对于相变点的边界剩余温度的平方根成正比。所得结论为波动热作用下建筑外表相变传热数值计算奠定了基础。
In this paper, the mathematical model of phase transition heat transfer is established from the perspective of building exterior insulation. Laplace transform method is used to analyze the phase transformation process of phase change material under boundary temperature. Then, the formula for calculating the moving position and velocity of phase interface is derived theoretically. The formula shows that the moving position of phase interface is proportional to the square root of time, and the velocity of phase interface is inversely proportional to the square root of time. The square root of the residual temperature at the point is proportional to the square root. The conclusions obtained provide the basis for the numerical calculation of the heat transfer of building appearance under the action of wave heat.