Abstract

To investigate the condensation process in a wall composed of porous materials under randomly changing outdoor temperatures, a method is proposed to calculate the probability density of moisture contents. By modeling outdoor temperature as a filtered Gaussian white noise, the heat and moisture transfer processes, and the stochastic process of outdoor temperature can be expressed by state space equations. The Fokker-Planck equation is derived by making use of this state space expression. A wall made of autoclaved, low density concrete is analysed, and the probability density of the moisture content is obtained. This simple example clarifies the influence of random outdoor temperature on the condensation process.

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