The availability of highly economical indicators of convective type heating appliances, as well as the wide use of window sills, solid glazing of walls in the construction equipment, and the expansion of the use of convective (ribbed) type heating appliances, taking into account the possible improvement of their sanitary and hygienic and heat engineering properties. Constructions of convective type (convector) type heating devices with rather low heat engineering indicators. To improve the thermo-technical qualities of convectors, special attention is paid to the determination of the optimum dimensions of the fin, the channel for the passage of the coolant, the fin length, the optimum shape of the rib, and so on. The task of this work is to find new ways that require the heat transfer process of ribbed heating devices. The problem of the optimal distribution of the heat source (channel for the passage of the coolant) relative to the horizontal axis of symmetry of the rib is considered. Analytical dependences are obtained, which allow to determine the local values of heat transfer changes for nonisothermal plates, the temperature change at which is a step-change function. The process of convection in a laminar boundary layer is shown as a process of nonstationary thermal conductivity of a semi-boundary body. When solving the problem of radiant heat exchange between the ribs and surrounding surfaces, and between the edge and the environment. The directions of the experimental study are presented with the purpose of determining: the thickness of the boundary layer near the surface of the rib; the nature of the distribution of temperature along the edge with different locations of the source of heat; thermal engineering studies on convectors, various measurements of the channel for the passage of the coolant, various finning steps, and various fin sizes.