The effect of the aerodynamics of indoor air flows on the power of the heating system

https://doi.org/10.58224/2618-7183-2025-8-1-7
An analytical dependence is presented for calculating the power of a heating system, taking into account the aerodynamics of the movement of air flows inside a heated room. The analytical dependence is derived on the basis of the theory of a two-zone mathematical model of a heated room. The method allows us to determine a rational way of organizing heating to ensure minimal transmission heat loss through enclosing structures, taking into account factors affecting thermal and air processes in a heated room and contributing to a decrease in the power of the heating system as a whole. The results of the analysis carried out on the regularity of the movement of air flows in a room divided into two control volumes (CV): upper and lower CV. A mathematical model of the processes of heat and mass transfer of a heated room in an administrative or residential building has been developed, which takes into account the heat exchange between the upper and lower CV. The physical picture of the distribution of air and heat flows in a heated room with a local heat source located in the window sill space of the heated room is analyzed. A method for calculating the power of the heating system is proposed, taking into account the nature of the aerodynamics of the distribution of air flows in a heated room. An analytical dependence for calculating the thermal power of a heating system is presented, taking into account the characteristics of the distribution of heat and air flows across two control volumes of the heated room.
[1] Publishing House of the Association of Construction Universities. Moscow. 2014. P. 400.
[2] Ulyasheva V.M. Improvement of methods for calculating heat-air processes at gas transportation facilities: monograph. St. Petersburg: SPbGASU., 2011.P. 168.
[3] Sborshchikov S.B., Sargsian S.V. and others. Fundamentals of design, construction, and operation of buildings and structures. Moscow. MISI-MGSU Publishing House. 2015. P. 492.
[4] Khavanov P.A., Zhila V.A., Sargsian S.V., et al. Engineering systems of buildings and structures. Heat and gas supply and ventilation: Textbook. Moscow: Akademiya Publishing Cente. 2014. P. 320.
[5] Bogoslovsky V.N. Construction thermal physics: Thermophysical principles of heating, ventilation and air conditioning. M.: Higher School. 1982. P. 415.
[6] Sargsian S.V., Rymarov A.G. Distribution of supply air in ventilation and air conditioning systems. Moscow: MGSU. 2012. P. 99.
[7] Sargsian S.V. Investigation of ways of organizing air exchange and air distribution systems on physical models in laboratory conditions. Nauchnoe obozrenie. Issue 16. 2015. P. 68 – 71.
[8] Sargsian S.V., Mazein S.V. Thermal energy consumption for temporary heating of rough-finished metro stations. Construction: Science and Education. 2023. 13 (2). P. 117 – 130.
[9] Sargsian S.V., Kravchuk V.Yu. Maintaining the required parameters of the microclimate of unheated parts of buildings through the organization of overflow air heating. Vestnik MGSU. 2023. 18 (9). P. 1433 – 1443.
[10] Sargsyan S., Agafonova V. Dependence of changes in the nominal heat flow of tubular heating devices on their design features. BIO Web of Conferences. 2024. 93 (94). P. 1 – 8.
[11] Sargsyan S., Agafonova V. Patterns of air temperature changes in air ducts of non-contact air heating or cooling systems. с BIO Web of Conferences. 2024. 93. P. 1 – 9.
[12] Sargsian S.V., Calculation of air exchange by the method of two-zone mathematical modeling of a ventilated room. Monograph. Moscow. MISI-MGSU PublishingHouse. 2022. P. 85.
[13] Sargsyan S.V., Borisova V.A. Mathematical model of spatial heat exchange of rooms with linearly sources of heat Interhational multi-conference on industrial engineering and modern technologies. IOP Conference Series Materials Science and Engineering. 2018. 463. P. 1 – 5.
[14] Sargsyan S.V., Tsap A. Air temperature stratification when flowing between rooms Interhational multi-conference. E3S Web of Conferences. 2021. 263 (218):04019. P. 1 – 8.
[15] Skanavi A.N., Makhov L.M. Heating, ASV. Moscow. 2008. P. 576.
[16] Martynenko O.G., Sokovishin Yu.A. Free-convective heat transfer: Handbook. Minsk: Science and Technology. 1982. P. 400.
[17] Ardeshir Moftakhari, Cyrus Aghanajafi, Ardalan Moftakhari Chaei Ghazvin. Inverse heat transfer analysis of radiator central heating systems inside residential buildings using sensitivity analysis. Inverse Problems in Science and Engineering. 2016. 25 (4). P. 1 – 28.
[18] Sevilgen G., Kilic M. Numerical analysis of air flow, heat transfer, moisture transport and thermal comfort in a room heated by two-panel radiators. Energy Build. 2011. 43. P. 137 – 146.
[19] Sebisi T., Bradshaw P., Convective heat transfer. Physical foundations and computational methods. Moscow: Mir. 1987. P. 487.
[20] Madera A.G., Mathematical modeling of free convection of a vertical plate in a conjugate formulation. International Journal of Applied and Basic Research. 2015. 4. P. 25 – 28.
[21] Makarov S.S., Karpov A.I., Makarova E.V. Mathematical model of convective heat transfer of a coolant flow moving along the heating surface of a metal cylinder. Chemical physics and mesoscopy. 2016. 18 (1). P. 32 – 40.
[22] Modern heating systems for residential buildings: opinions of international experts, ABOK. 2019. 5. P. 4 – 14.
[23] Shepelev I.A., Aerodynamics of indoor air flows.Stroyizdat. Moscow. 1978. P. 144.
Sargsyan S.V., Agafonova V.V. The effect of the aerodynamics of indoor air flows on the power of the heating system. Construction Materials and Products. 2025. 8 (1). 7. https://doi.org/10.58224/2618-7183-2025-8-1-7