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Optimization of insulation of walling of building walls is proposed, taking into account the relationship of structural, heat engineering, operating parameters and economic indicators. The purpose of research is to determine the optimal value of the thickness of the insulation with the heat-insulating material of the object, taking into account the thermal energy released to it. The study used methods of mathematical modeling of heat transfer, an optimization problem. The results of the study of the influence of the thickness of the insulating material on the technical and economic efficiency of the building's consumption of energy resources and material costs are presented. The results showed a decrease in heat losses through the building envelope, consumption of heat and electric energy for the heating, ventilation system and reduced costs.

The problem of increasing energy saving when using fuel in heating furnaces of forging and thermal shops for heat treatment of metal under pressure treatment (forging and stamping) and heat treatment (quenching, tempering, carburizing and nitrocarburizing) is considered. Ways to improve energy saving in industrial furnaces and issues of reducing fuel consumption in thermal processes were studied. The problem of rationalizing the regeneration of low-grade heat of flue gases was not solved fully enough, since economic factors and the influence of the determining parameters on the temperature and thermal regimes of heat recovery plants were not fully taken into account. Thus, it is relevant to address the issue of the appropriate degree of recovery of the thermal potential of the gases leaving the heating furnace, finding the most favorable parameters of heat recovery plants. A criterion is proposed for assessing the effective level of the degree of utilization of the heat of exhaust gases at the outlet from the heating furnaces. It is proposed to evaluate the efficiency of the heat recovery plant and determine the optimal degree of heat recovery from flue gases leaving the heating furnace based on the difference in the changing costs for the construction and operation of the heat recovery plant. A method and an algorithm for determining the technically and economically feasible degree of utilization of low-potential heat of fuel combustion products after furnace units in a heat recovery unit have been developed. The developed algorithm provided the necessary optimality conditions, was checked for sufficiency by conducting studies on the existence of an extremum at the test point and the positivity of subsequent derivatives. The dependences of the economically viable temperature of the fuel combustion products after the heat recovery plant on the determining factors, basic values, price indicators and initial data are obtained, which, in the case of reconstruction and modernization of the furnace facilities of forge and thermal shops, minimize the costs of reconstruction and increase the efficiency of its use. The practical significance of the application of the proposed developments for practical use in the design, reconstruction and modernization of the furnace facilities of forging and thermal shops has been substantiated.