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An extended two-dimensional borehole heat exchanger model for simulation of short and medium timescale thermal response

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  • Rees, Simon J.

Abstract

Common approaches to the simulation of Borehole Heat Exchangers (BHEs) assume heat transfer in circulating fluid and grout to be in a quasi-steady state and ignore fluctuations in fluid temperature due to transport of the fluid around the U-tube loop. Such effects have been shown to have an impact on peak temperatures and hence operation of heat pumps systems when short time scales are considered. A model has been developed that combines a two-dimensional numerical model and models of the pipe loop components. A novel heat exchanger analogy is employed to calculate the heat exchanger outlet temperatures such that iterative procedures can be avoided and numerical stability is unconditional. These approaches result in a model that is computationally efficient and captures much of the short timescale dynamic effects represented in fully three-dimensional models. This is demonstrated by comparison with experimental data and by comparing two and three-dimensional model behaviour in the frequency domain. Predicted monthly outlet temperatures and heat transfer rates are furthermore shown to be in close agreement with experimental values and in good agreement with existing borehole heat exchanger models. The model is computationally efficient enough to allow use in routine analysis and design tasks.

Suggested Citation

  • Rees, Simon J., 2015. "An extended two-dimensional borehole heat exchanger model for simulation of short and medium timescale thermal response," Renewable Energy, Elsevier, vol. 83(C), pages 518-526.
  • Handle: RePEc:eee:renene:v:83:y:2015:i:c:p:518-526
    DOI: 10.1016/j.renene.2015.05.004
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    References listed on IDEAS

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    1. Mottaghy, Darius & Dijkshoorn, Lydia, 2012. "Implementing an effective finite difference formulation for borehole heat exchangers into a heat and mass transport code," Renewable Energy, Elsevier, vol. 45(C), pages 59-71.
    2. De Carli, Michele & Tonon, Massimo & Zarrella, Angelo & Zecchin, Roberto, 2010. "A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers," Renewable Energy, Elsevier, vol. 35(7), pages 1537-1550.
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    3. Cerfontaine, B. & Radioti, G. & Collin, F. & Charlier, R., 2016. "Formulation of a 1D finite element of heat exchanger for accurate modelling of the grouting behaviour: Application to cyclic thermal loading," Renewable Energy, Elsevier, vol. 96(PA), pages 65-79.
    4. Beier, Richard A. & Spitler, Jeffrey D., 2016. "Weighted average of inlet and outlet temperatures in borehole heat exchangers," Applied Energy, Elsevier, vol. 174(C), pages 118-129.
    5. Meibodi, Saleh S. & Rees, Simon & Loveridge, Fleur, 2024. "Modeling district heating pipelines using a hybrid dynamic thermal network approach," Energy, Elsevier, vol. 290(C).
    6. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2018. "Evaluation of a transient borehole heat exchanger model in dynamic simulation of a ground source heat pump system," Energy, Elsevier, vol. 147(C), pages 81-93.
    7. Matt S. Mitchell & Jeffrey D. Spitler, 2020. "An Enhanced Vertical Ground Heat Exchanger Model for Whole-Building Energy Simulation," Energies, MDPI, vol. 13(16), pages 1-27, August.
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    10. Somogyi, Viola & Sebestyén, Viktor & Nagy, Georgina, 2017. "Scientific achievements and regulation of shallow geothermal systems in six European countries – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P2), pages 934-952.
    11. Lyu, Zehao & Song, Xianzhi & Li, Gensheng & Hu, Xiaodong & Shi, Yu & Xu, Zhipeng, 2017. "Numerical analysis of characteristics of a single U-tube downhole heat exchanger in the borehole for geothermal wells," Energy, Elsevier, vol. 125(C), pages 186-196.
    12. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.

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