Abstract
We study thermal insulation properties of a multilayer enclosing structures taking into account the random factor in changes in external temperature. The main purpose of the proposed article is to build a mathematical model of heat transmission trough the outer layer of multi-layer wall structure with accounting for the randomness of the external temperature and to obtain the estimates of the value of thermal resistance, which guarantees that there is no excess of lost heat over some critical level. Firstly, we construct an algorithm calculating the distribution of the temperature by the thickness of a multi-layered wall structure under assumption that the external temperature is not random. Then an approach taking into account the randomness of this temperature is proposed. It makes possible to estimate the amount of heat released in the external environment from a unit of surface during a unit of time. It is shown that the changes in the external temperature has a significant impact on the amount of the heat lost. The method calculating the thermal resistance of the structure is proposed, thus the heat loss does not exceed some critical level during the heating season with a given probability. The results of the article can be used to carry out the ongoing work on updating the regulations in the field of building heat protection.
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