Аннотация:In engineering practice, solving problems of convective-radiative heat transfer is of particular interest. As a rule, problems of this kind still do not have an analytical solution and are solved approximately, approaches based on numerical modeling techniques are often used. Considering the construction industry, it is worth noting that this class of tasks is of particular importance. Thermal panels are widely used in water heating and cooling systems (convectors, radiators, ceiling panels, floor panels). The most widely used plates belonging to the "convector" type, consisting of a set of a certain number of plates connected to each other by a pipeline with a heat or cold carrier circulating inside. In this regard, thermal panels are quite complex objects from the point of view of mathematical description. Such system is crucial in many heating, ventilation and air conditioning systems, including air conditioners, chillers, fan coils, heating equipment, etc. In this paper, for the first time, a mathematical model of a stationary temperature field in a rectangular plate with an arbitrary distribution of heat sources was developed, taking into account convective-radiative heat exchange with the external environment. The analytical model was tested on the problem of determining temperature fields in a heating device, for which a numerical solution was also obtained by the finite element method in the ANSYS Mechanical APDL software package. The resulting mathematical model will allow designers to determine the output integral parameters of the heating system necessary to ensure comfortable conditions for people to stay in heated rooms.
