Forecasting the temperature of the coolant in an aerodynamic heating system

Heating of livestock buildings contributes to the normalization of the indoor climate. However, electric heaters commonly used in such facilities require periodic cleaning of their tubular heating elements, lack a standardized service life, and pose a fire hazard. Water and steam heating systems, on the other hand, involve high installation and maintenance costs. An alternative to these systems is an aerodynamic heating unit, which is simple, reliable, and easy to install. Its operating principle is based on the rotary heating of the coolant (air) within a thermally insulated working chamber equipped with two connecting pipes linked by a heat exchanger duct. To explore the feasibility of using an aerodynamic heating unit in livestock building heating systems, the authors manufactured a prototype and constructed a building model. The study aimed to develop a mathematical model for predicting both the coolant temperature and the resulting indoor air temperature as functions of the installation parameters, environmental conditions, and the thermal characteristics of the building envelope. During the autumn–winter period of 2025, research was conducted at Bryansk State Agrarian University on a prototype aerodynamic heating installation to obtain initial data for implementing the proposed mathematical model. A heat balance equation for the installation was formulated over an infinitesimal time interval. Based on the solution to the resulting differential equation, the desired functional relationships were derived. Analysis of these relationships and their comparison with experimental data demonstrated that the developed mathematical model allows prediction of the coolant and indoor air temperatures with an accuracy ranging from 3.4% to 6.2%, depending on the installation parameters, environmental conditions, and room characteristics. The findings of this study will facilitate the determination of optimal heating installation parameters based on the required indoor temperature.

1. Ignatkin I.Yu., Erokhin M.N., Kirsanov V.V. Determination of an air jet propagation range in the jet ventilation system of livestock facilities. Agricultural Engineering (Moscow). 2025;27(3):23-32 (In Russ.) https://doi.org/10.26897/2687-1149-2025-3-23-32

2. Ilyin I.V., Ignatkin I.Yu., Kuryachiy M.G. Effect of indoor climate parameters on pig productivity. Perspektivnoe svinovodstvo: teoriya i praktika. 2011;3:21-25. (In Russ.).

3. Samarin G.N. The influence of microclimate parameters on the productivity of laying hens. Poultry & Chicken Products. 2007;2:37-38. (In Russ.)

4. Novikov N.N., Kolchik I.E. The Modern equipment and technical means of microclimate on livestock farms providing. Machinery and Technologies in Livestock. 2020;1:81-88. (In Russ.)

5. Kuzmichev A.V., Tikhomirov D.A., Trunov S.S. Heat air curtains in microclimate systems for livestock farms. Electrical Engineering and Electrical Equipment in Agriculture. 2019;1:14-20. (In Russ.)

6. Tikhomirov D.A. The ventilation and heating system is modular. Selskiy mekhanizator. 2012;9:32-33. (In Russ.)

7. Shatsky V.P., Gulevsky V.A., Osipov E.N. Plate-type air coolers based on the water-evaporation principle. Ptitsevodstvo. 2013;12:35-37. (In Russ.)

8. Kirsanov V.V., Ignatkin I.Y. Jet model of ventilation air inflow from a heat recovery unit. Vestnik of Federal State Educational Establishment of Higher Professional Education “Moscow State Agroengineering University named after V.P. Goryachkin”. 2018;2:28-32. (In Russ.) https://doi.org/10.26897/1728-7936-2018-2-28-32

9. Tikhomirov D.A., Trunov S.S., Khimenko A.V. Energy-saving heating system using electric heat accumulators and ceiling fans. Machinery and Equipment for Rural Area. 2022;2:34-38. (In Russ.) https://doi.org/10.33267/2072-9642-2022-2-34-38

10. Samarin V.A., Samarin G.N. Theoretical foundations of energy-saving technology for indoor climate control in livestock breeding. Agricultural Machinery and Technologies. 2010;5:36-38. (In Russ.)

11. Uzhik V.F., Chekhunov O.A., Saenko Yu.V., Makarenko A.N. Search for engineering solutions to maintain optimal temperature in barns with a transparent roof. Vestnik Vserossiyskogo nauchno-issledovatelskogo instituta mekhanizatsii zhivotnovodstva. 2018;2:34-39. (In Russ.)

12. Markaryants L.M., Zhiryakov A.V. Safety electroheaters installations. Vestnik Bryanskoy GSKhA. 2011;6:57-59. (In Russ.)

13. Kupreenko A.I., Isaev Kh.M., Isaev S.Kh. et al. Heating of livestock premises by aerodynamic heating’s units. Machinery and Technologies in Livestock. 2025;15(3):41-47. (In Russ.)

14. Kupreenko А.I., Isaev Kh.M., Kharchenko D.A. et al. Influence of the operating modes of an aerodynamic type heating instalation on the heat carrier temperature. Machinery and Technologies in Livestock. 2026;16(1):29-36. (In Russ.)

15. Kupreenko A.I., Bezik D.A., Isaev Kh.M. et al. Temperature of the drying agent during its recirculation in aerodynamic heating modular dryer. Vestnik Bryanskoy GSKhA. 2025;3:46-53. (In Russ.)