Mathematical Simulation of Heat Transfer through the Multilayer Filler Structures of Buildings

The nonstationary heat transfer through the multilayer filler structures of a building in which the temperature of the air is unknown was investigated using the heat conduction equation with the asymmetric third-kind boundary conditions. For determining the change in the temperature inside a building, necessary for selecting the materials of its filler structures, the Cauchy problem was considered and solved by numerical methods. On the basis of computer simulation of the heat transfer through different multilayer filler structures of buildings, the regimes of heat transfer through such a structure were investigated for the cases where the temperature of the outdoor air changes by the linear and sinusoidal laws.