一维多孔介质热湿耦合传递问题的解析解

Theoretical analysis of computing coupled heat and moisture transfer in a one-dimensional porous medium

为准确确定建筑物的能耗,保证建筑物的使用功能,需对土壤和围护结构中的热湿迁移现象进行研究.本文基于Luikov热湿耦合传递方程,提出了一种计算一维多孔介质瞬态热湿传递的理论分析方法.通过引入无量纲温度、湿度对Luikov方程进行拉普拉斯变换,采用传递函数方法(TFM)得到了一维瞬态热湿传递方程的解析解,该解析解揭示了多孔介质传热传质过程中各影响因数的定性定量关系根据文献实验提供的边界及物性参数,利用FORTRAN语言编制程序求解方程,得出了温度及湿度在多孔介质中的瞬态分布,将计算结果与文献实验数据进行对比,吻合性较好.

The phenomenon of heat and moisture migration in the soil and envelope of buildings should be studied for determining the energy consumption of buildings accurately and ensuring the use of the buildings.Based on Luikov＇s coupled equations on heat and moisture transfer,a theoretical analysis method for computing transient heat and moisture transfer in a porous one-dimensional medium was proposed.Laplace transform was carried out by introducing the nondimensional temperature and moisture.By using the transfer function method（TFM） to solve the one-dimensional coupled equations of heat and moisture transfer,an analytic solution was obtained.With this solution,the quantitative and qualitative relationships of the influence factors of the heat and mass transfer process in the porous medium were revealed.Furthermore,a FORTRAN computer program was developed for solving the Luikov＇s coupled equations numerically.The boundary conditions and physical parameters were the same as that of a previous experimental study.Additionally,the calculated temperature and moisture profiles in the porous medium are well validated by the experimental data.