MATHEMATICAL MODELING OF BUILDING UNSTEADY HEAT TRANSFER

The mathematical model of unsteady heat exchange space has been carried out. The heat balance of the object system is modeled by the system of ordinary inhomogeneous differential equations with nonlinear coefficients. In the developed model the transient nature of heat transfer through the structures enclosing surfaces, the intensity of solar radiation on people, equipment and lighting are taken into consideration. The climatic equipment was selected according to performed calculations which will: provide the necessary microclimate parameters in air-conditioned areas in terms of maximum heat leakage in summer and maximum heat loss in winter and ensure high power efficiency with a small thermal load in the offseason. The results of mathematical simulation allowed to determine required cooling or heat capacity on average temperatures and corresponding power consumption of the system and supplement the correct set of input data for calculating the full costs of the object microclimate, including design, equipment purchase, installation and maintenance costs over the service life of the system and allowed to estimate the system payback.