Abstract The paper addresses the problem of coupled heat and moisture transfer in porous materials with the time-periodic boundary conditions applied. The solution of Luikov equations [1] , which describe coupled heat and moisture transfer, is presented. Laplace transform is used, where some terms of the inverse Laplace transform ought to be solved by Gaussian quadrature, meaning that the solution is semi-analytical. The time-periodic boundary conditions are applied to simulate the humidity and temperature oscillations of natural environment. Therefore, the proposed solution is appropriate to evaluate the distribution of moisture and temperature within the porous material exposed to everyday natural cycles. The paper presents convergence tests, validation of semi-analytical solution and application to different building materials are presented in the paper.

中文翻译：

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时间周期边界条件下 Luikov 方程的（半）解析解

摘要 本文解决了应用时间周期边界条件的多孔材料中的热湿耦合传递问题。介绍了描述耦合热湿传递的 Luikov 方程 [1] 的解。使用拉普拉斯变换，其中拉普拉斯逆变换的某些项应该通过高斯正交求解，这意味着该解是半解析的。应用时间周期边界条件来模拟自然环境的湿度和温度振荡。因此，建议的解决方案适用于评估暴露于日常自然循环的多孔材料内的水分和温度分布。该论文提出了收敛性测试，