A mathematical model the energy balances the process thermal decomposition methane under cooling conditions high-temperature installations is proposed. The model under study allows us to evaluate the possibility using regenerative heat use, in order to reduce heat losses through the fence a high-temperature installation by utilizing the heat of the liquid coolant, allowing to increase the productivity the high-temperature process. Natural gas as an energy carrier has a lot advantages and in comparison with other types fuel can be fully used, since it is easy to organize complete combustion with minimal heat loss. It is worth noting that natural gas does not contain ballast and harmful impurities, it also has a high calorific value and high temperatures develop during combustion. All high-temperature installations have the main task ensuring the continuity the process with minimal fuel consumption, using energy from both primary and secondary energy resources (SER). Under pyrolysis conditions, methane is most thermally stable, since thermal degradation methane is thermodynamically possible at temperatures above 560°C. However, when methane reaches significant speeds, it decomposes at temperatures about 900°C, and at temperatures above 1400°C it completely decomposes into carbon and hydrogen. The purpose calculations the mathematical model is to determine the heat transfer coefficient and the temperature field methane heating inside a single tube under specified boundary conditions and thermal parameter the system under consideration. Solving this problem will increase the energy efficiency the high-temperature process. Also, the input the calculations was the analysis of existing apparatus for the pyrolysis methane with liquid coolant for steelmaking, is determined depending on the heat transfer regime gas flow (Re⩽105), the number Nusselt, the amount heat received and given in the decomposition process, the temperature heating natural gas and represented by a graph fraction carbon and hydrogen inlet the thermal decomposition in terms the cooling high-temperature facilities.