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Heat transmission over long pipes: New model for fast and accurate district heating simulations

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  • Dénarié, A.
  • Aprile, M.
  • Motta, M.

Abstract

This paper presents a new numerical approach to model the heat transmission over long pipes, such as those encountered in district heating networks. The model is suitable for fast and accurate simulation of complex network dynamics. For fast calculation, the model is based on the method of characteristics. For high accuracy, the model splits the water thermal capacity between the turbulent core and the boundary layer. Compared with the finite-volume method and the node method, the proposed model shows accurate results at a lower computational expense and without introducing artificial smoothing of temperature waves. The model is validated by monitoring data of pronounced temperature transients in real pipes at low and high Reynolds numbers. The results confirm the need to properly model the thermal capacity of water, because at a low Reynolds number, the boundary-layer thickness is considerable, and the temperature difference between the water core and the pipe wall is not negligible.

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  • Dénarié, A. & Aprile, M. & Motta, M., 2019. "Heat transmission over long pipes: New model for fast and accurate district heating simulations," Energy, Elsevier, vol. 166(C), pages 267-276.
    • Handle: RePEc:eee:energy:v:166:y:2019:i:c:p:267-276
    DOI: 10.1016/j.energy.2018.09.186
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    References listed on IDEAS

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    Cited by:

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    3. Wang, Yang & Zhang, Shanhong & Chow, David & Kuckelkorn, Jens M., 2021. "Evaluation and optimization of district energy network performance: Present and future," Renewable and Sustainable Energy Reviews, Elsevier, vol. 139(C).
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    5. Nageler, P. & Heimrath, R. & Mach, T. & Hochenauer, C., 2019. "Prototype of a simulation framework for georeferenced large-scale dynamic simulations of district energy systems," Applied Energy, Elsevier, vol. 252(C), pages 1-1.
    6. Dénarié, A. & Aprile, M. & Motta, M., 2023. "Dynamical modelling and experimental validation of a fast and accurate district heating thermo-hydraulic modular simulation tool," Energy, Elsevier, vol. 282(C).
    7. Boghetti, Roberto & Kämpf, Jérôme H., 2024. "Verification of an open-source Python library for the simulation of district heating networks with complex topologies," Energy, Elsevier, vol. 290(C).
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    9. Dancker, Jonte & Wolter, Martin, 2021. "Improved quasi-steady-state power flow calculation for district heating systems: A coupled Newton-Raphson approach," Applied Energy, Elsevier, vol. 295(C).
    10. Vivian, Jacopo & Quaggiotto, Davide & Zarrella, Angelo, 2020. "Increasing the energy flexibility of existing district heating networks through flow rate variations," Applied Energy, Elsevier, vol. 275(C).
    11. Meibodi, Saleh S. & Rees, Simon & Loveridge, Fleur, 2024. "Modeling district heating pipelines using a hybrid dynamic thermal network approach," Energy, Elsevier, vol. 290(C).
    12. Roberto Tascioni & Luca Cioccolanti & Luca Del Zotto & Emanuele Habib, 2020. "Numerical Investigation of Pipelines Modeling in Small-Scale Concentrated Solar Combined Heat and Power Plants," Energies, MDPI, vol. 13(2), pages 1-16, January.
    13. Yang, Weijia & Huang, Yuping & Zhao, Daiqing, 2023. "A coupled hydraulic–thermal dynamic model for the steam network in a heat–electricity integrated energy system," Energy, Elsevier, vol. 263(PC).

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