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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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    Cited by:

    1. 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).
    2. 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.
    3. 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.
    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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