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A modified mathematical model for spiral coil-type horizontal ground heat exchangers

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  • Jeon, Jun-Seo
  • Lee, Seung-Rae
  • Kim, Min-Jun

Abstract

Although many studies have investigated spiral coil-type horizontal ground heat exchangers (HGHEs), a reliable mathematical model of them has not yet been developed. Accordingly, this study proposes a modification of existing mathematical model, which was originally developed for energy piles and vertical ground heat exchangers, for HGHEs. Based on the solution of the heat equation using Green's function, the new mathematical model was derived by employing the mirror image method and superposition to consider the effect of a semi-infinite medium and ground temperature distribution. The prediction of the mathematical model showed a good fit with the results from on-site experiments with a mean absolute percentage error of 0.30% and was perfectly matched with the numerical results. The proposed mathematical model is capable of capturing the structure of the spiral coil exactly, and consequently, it offers a more accurate prediction of ground temperature.

Suggested Citation

  • Jeon, Jun-Seo & Lee, Seung-Rae & Kim, Min-Jun, 2018. "A modified mathematical model for spiral coil-type horizontal ground heat exchangers," Energy, Elsevier, vol. 152(C), pages 732-743.
    • Handle: RePEc:eee:energy:v:152:y:2018:i:c:p:732-743
    DOI: 10.1016/j.energy.2018.04.007
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    References listed on IDEAS

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    1. Han, Chanjuan & Ellett, Kevin M. & Naylor, Shawn & Yu, Xiong (Bill), 2017. "Influence of local geological data on the performance of horizontal ground-coupled heat pump system integrated with building thermal loads," Renewable Energy, Elsevier, vol. 113(C), pages 1046-1055.
    2. Lee, Jin-Yong, 2009. "Current status of ground source heat pumps in Korea," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(6-7), pages 1560-1568, August.
    3. Naylor, Shawn & Ellett, Kevin M. & Gustin, Andrew R., 2015. "Spatiotemporal variability of ground thermal properties in glacial sediments and implications for horizontal ground heat exchanger design," Renewable Energy, Elsevier, vol. 81(C), pages 21-30.
    4. Unverdi, Murat & Cerci, Yunus, 2013. "Performance analysis of Germencik Geothermal Power Plant," Energy, Elsevier, vol. 52(C), pages 192-200.
    5. Florides, G. & Theofanous, E. & Iosif-Stylianou, I. & Tassou, S. & Christodoulides, P. & Zomeni, Z. & Tsiolakis, E. & Kalogirou, S. & Messaritis, V. & Pouloupatis, P. & Panayiotou, G., 2013. "Modeling and assessment of the efficiency of horizontal and vertical ground heat exchangers," Energy, Elsevier, vol. 58(C), pages 655-663.
    6. Selamat, Salsuwanda & Miyara, Akio & Kariya, Keishi, 2016. "Numerical study of horizontal ground heat exchangers for design optimization," Renewable Energy, Elsevier, vol. 95(C), pages 561-573.
    7. Xiong, Zeyu & Fisher, Daniel E. & Spitler, Jeffrey D., 2015. "Development and validation of a Slinky™ ground heat exchanger model," Applied Energy, Elsevier, vol. 141(C), pages 57-69.
    8. Naili, Nabiha & Hazami, Majdi & Attar, Issam & Farhat, Abdelhamid, 2013. "In-field performance analysis of ground source cooling system with horizontal ground heat exchanger in Tunisia," Energy, Elsevier, vol. 61(C), pages 319-331.
    9. Cui, Ping & Li, Xin & Man, Yi & Fang, Zhaohong, 2011. "Heat transfer analysis of pile geothermal heat exchangers with spiral coils," Applied Energy, Elsevier, vol. 88(11), pages 4113-4119.
    10. Lu, Qi & Narsilio, Guillermo A. & Aditya, Gregorius Riyan & Johnston, Ian W., 2017. "Economic analysis of vertical ground source heat pump systems in Melbourne," Energy, Elsevier, vol. 125(C), pages 107-117.
    11. Chalhoub, Maha & Bernier, Michel & Coquet, Yves & Philippe, Mikael, 2017. "A simple heat and moisture transfer model to predict ground temperature for shallow ground heat exchangers," Renewable Energy, Elsevier, vol. 103(C), pages 295-307.
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    Cited by:

    1. Jun-Seo Jeon & Seung-Rae Lee & Min-Jun Kim & Seok Yoon, 2018. "Suggestion of a Scale Factor to Design Spiral-Coil-Type Horizontal Ground Heat Exchangers," Energies, MDPI, vol. 11(10), pages 1-16, October.
    2. Hou, Gaoyang & Taherian, Hessam & Song, Ying & Jiang, Wei & Chen, Diyi, 2022. "A systematic review on optimal analysis of horizontal heat exchangers in ground source heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 154(C).
    3. Yang, Weibo & Xu, Rui & Wang, Feng & Chen, Shikun, 2020. "Experimental and numerical investigations on the thermal performance of a horizontal spiral-coil ground heat exchanger," Renewable Energy, Elsevier, vol. 147(P1), pages 979-995.
    4. Hang Zou & Peng Pei & Chen Wang & Dingyi Hao, 2021. "A numerical study on heat transfer performances of horizontal ground heat exchangers in ground-source heat pumps," PLOS ONE, Public Library of Science, vol. 16(5), pages 1-19, May.

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