Research Article | | Peer-Reviewed

The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System

Received: 21 April 2025     Accepted: 3 May 2025     Published: 12 June 2025
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Abstract

District heating systems (DHS) comprise complex hydraulic networks that include multiple consumers, distribution pipe networks, and power sources. By analyzing key parameters such as pressure, flow rate, and resistance within a hydraulic system, it is possible to predict system performance and optimize adjustments. Calculating the hydraulic regime of a heat supply system means solving a system of large-scale quadratic equations. Unlike electrical systems, typically modeled by linear equations, hydraulic systems require nonlinear equations, making analysis more challenging and often necessitating iterative methods. In defining the scope of our study, we focused on stabilizing the network's hydraulic regime by adjusting the supply water temperature at the source. We observed that changes in a user’s automatic valve resistance altered the total resistance, causing the entire system to operate in a variable mode. Conversely, we analyzed how variations in source pressure influenced user resistance. Our study aimed to characterize constant and variable resistances in hydraulic systems and to determine the system’s equivalent total resistance. Kirchhoff's laws are applied to determine resistance, head loss, and flow distribution. Yet, many nonlinear equations call for transforming the problem into a linear system under hydraulic stability assumptions. This paper proposes a methodology to simplify computations by distinguishing between variable and constant hydraulic resistances, representing them as equivalent resistances for enhanced modeling accuracy. When performing hydraulic calculations of heat supply systems, we mainly relied on software from countries such as Russia and Denmark. As a result, engineers often neglected the theoretical development of hydraulic calculation methods. To address this issue, we began investigating these methods and developed a hydraulic calculation model, which we aim to improve through ongoing research. Based on this foundation, we present this study.

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 11, Issue 1)
DOI 10.11648/j.ijfmts.20251101.12
Page(s) 9-13
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Hydraulic Resistance, Hydraulic Regime, District Heating, Pressure Drop

References
[1] Purevjal O., Landannorov J., Bavudovjii S., Enkhtuya Y., The results of the hydraulic test of the heating network, Energy & Engineering, 2000, 2/8, pp. 16-19.
[2] Purevjal O., Numerical load adjustment of the heat supply system, //International scientific conference on "Energy production and ecology", Compilation of speeches, May 26-30, 2010, pp. 177-181.
[3] Purevjal O., On the problem of changing the heat distribution adjustment method in the heat supply system with variable consumption, Energy & Engineering, 2019-8(186) pp. 27-31.
[4] Tserendolgor D., Tsetsegee S., Erdenechimeg B., A study on the transition to a consumption-based heat billing system, Journal of Energy Transition, vol. 2, No. 1, pp. 1-8, Dec. 2024.
[5] X. Lin, N. Zhang, Z. Luo et al., Balanced operation strategies of district heating systems based on dynamic hydraulic-thermal modeling, Energy and Built Environment 6 (2025) 466-483.
[6] S. Kuntuarova et al., Design and simulation of district heating networks: A review of modeling approaches and tools, Energy 305 (2024) 132189.
[7] O. Angelidis et al., Development and experimental validation of a hydraulic design and control philosophies for 5th generation district heating and cooling networks, Energy 308 (2024) 132835.
[8] T. Dugargaramjav, B. Pashka, and B. Munkhbaatar, Study of the Influence of Electromagnetic Fields on the Corrosion of District Heating Pipelines: Corrosion of District Heating Pipelines, Journal of Energy Transition, vol. 2, no. 1, pp. 15-21, Dec. 2024.
[9] Stanislav Chicherin et al., The new method for hydraulic calculations of a district heating network, Energy, volume 260, 2022, 125071.
[10] Z. I. Shalaginova, Mathematical model for calculation of the heat-hydraulic modes of heating points of heat-supplying systems, Thermal Engineering, 63, 2016, pp. 222-232.
[11] Anton Eremin et al., Computer models of hydraulic systems of district heating, MATEC Web of Conferences 193, 02028, 2018.
[12] Luo, P.; Wang, H.; Liu, Y.; Du, Q.; Zhang, Z. Resistance Characteristic Parameters Estimation of Hydraulic Model in Heating Networks Based on Real-Time Operation Data. Buildings 2022, 12, 743.
[13] Abdulaev. D. A. et al. Hydraulic stability of the thermal network, Construction of Unique Buildings and Structures, 1(52), 2017, pp. 67-85.
[14] Stanislav Chicherin, Hydraulic Balancing of District Heating Systems and Improving Thermal Comfort in Buildings, Energies 2025, 18, 1259, 2-26.
[15] F. Agner et al., Hydraulic parameter estimation for district heating based on laboratory experiments, Energy 312 (2024) 133462.
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  • APA Style

    Bat-Erdene, E., Dugargaramjav, T. (2025). The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System. International Journal of Fluid Mechanics & Thermal Sciences, 11(1), 9-13. https://doi.org/10.11648/j.ijfmts.20251101.12

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    ACS Style

    Bat-Erdene, E.; Dugargaramjav, T. The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System. Int. J. Fluid Mech. Therm. Sci. 2025, 11(1), 9-13. doi: 10.11648/j.ijfmts.20251101.12

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    AMA Style

    Bat-Erdene E, Dugargaramjav T. The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System. Int J Fluid Mech Therm Sci. 2025;11(1):9-13. doi: 10.11648/j.ijfmts.20251101.12

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  • @article{10.11648/j.ijfmts.20251101.12,
      author = {Enkhbayar Bat-Erdene and Tserendolgor Dugargaramjav},
      title = {The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System
    },
      journal = {International Journal of Fluid Mechanics & Thermal Sciences},
      volume = {11},
      number = {1},
      pages = {9-13},
      doi = {10.11648/j.ijfmts.20251101.12},
      url = {https://doi.org/10.11648/j.ijfmts.20251101.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20251101.12},
      abstract = {District heating systems (DHS) comprise complex hydraulic networks that include multiple consumers, distribution pipe networks, and power sources. By analyzing key parameters such as pressure, flow rate, and resistance within a hydraulic system, it is possible to predict system performance and optimize adjustments. Calculating the hydraulic regime of a heat supply system means solving a system of large-scale quadratic equations. Unlike electrical systems, typically modeled by linear equations, hydraulic systems require nonlinear equations, making analysis more challenging and often necessitating iterative methods. In defining the scope of our study, we focused on stabilizing the network's hydraulic regime by adjusting the supply water temperature at the source. We observed that changes in a user’s automatic valve resistance altered the total resistance, causing the entire system to operate in a variable mode. Conversely, we analyzed how variations in source pressure influenced user resistance. Our study aimed to characterize constant and variable resistances in hydraulic systems and to determine the system’s equivalent total resistance. Kirchhoff's laws are applied to determine resistance, head loss, and flow distribution. Yet, many nonlinear equations call for transforming the problem into a linear system under hydraulic stability assumptions. This paper proposes a methodology to simplify computations by distinguishing between variable and constant hydraulic resistances, representing them as equivalent resistances for enhanced modeling accuracy. When performing hydraulic calculations of heat supply systems, we mainly relied on software from countries such as Russia and Denmark. As a result, engineers often neglected the theoretical development of hydraulic calculation methods. To address this issue, we began investigating these methods and developed a hydraulic calculation model, which we aim to improve through ongoing research. Based on this foundation, we present this study.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - The Variable Resistance on the Calculation of the Hydraulic Regime of a District Heating System
    
    AU  - Enkhbayar Bat-Erdene
    AU  - Tserendolgor Dugargaramjav
    Y1  - 2025/06/12
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    DO  - 10.11648/j.ijfmts.20251101.12
    T2  - International Journal of Fluid Mechanics & Thermal Sciences
    JF  - International Journal of Fluid Mechanics & Thermal Sciences
    JO  - International Journal of Fluid Mechanics & Thermal Sciences
    SP  - 9
    EP  - 13
    PB  - Science Publishing Group
    SN  - 2469-8113
    UR  - https://doi.org/10.11648/j.ijfmts.20251101.12
    AB  - District heating systems (DHS) comprise complex hydraulic networks that include multiple consumers, distribution pipe networks, and power sources. By analyzing key parameters such as pressure, flow rate, and resistance within a hydraulic system, it is possible to predict system performance and optimize adjustments. Calculating the hydraulic regime of a heat supply system means solving a system of large-scale quadratic equations. Unlike electrical systems, typically modeled by linear equations, hydraulic systems require nonlinear equations, making analysis more challenging and often necessitating iterative methods. In defining the scope of our study, we focused on stabilizing the network's hydraulic regime by adjusting the supply water temperature at the source. We observed that changes in a user’s automatic valve resistance altered the total resistance, causing the entire system to operate in a variable mode. Conversely, we analyzed how variations in source pressure influenced user resistance. Our study aimed to characterize constant and variable resistances in hydraulic systems and to determine the system’s equivalent total resistance. Kirchhoff's laws are applied to determine resistance, head loss, and flow distribution. Yet, many nonlinear equations call for transforming the problem into a linear system under hydraulic stability assumptions. This paper proposes a methodology to simplify computations by distinguishing between variable and constant hydraulic resistances, representing them as equivalent resistances for enhanced modeling accuracy. When performing hydraulic calculations of heat supply systems, we mainly relied on software from countries such as Russia and Denmark. As a result, engineers often neglected the theoretical development of hydraulic calculation methods. To address this issue, we began investigating these methods and developed a hydraulic calculation model, which we aim to improve through ongoing research. Based on this foundation, we present this study.
    
    VL  - 11
    IS  - 1
    ER  - 

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