IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v152y2018icp732-743.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544218305978
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2018.04.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Unverdi, Murat & Cerci, Yunus, 2013. "Performance analysis of Germencik Geothermal Power Plant," Energy, Elsevier, vol. 52(C), pages 192-200.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tang, Fujiao & Nowamooz, Hossein, 2020. "Outlet temperatures of a slinky-type Horizontal Ground Heat Exchanger with the atmosphere-soil interaction," Renewable Energy, Elsevier, vol. 146(C), pages 705-718.
    2. Md. Hasan Ali & Keishi Kariya & Akio Miyara, 2017. "Performance Analysis of Slinky Horizontal Ground Heat Exchangers for a Ground Source Heat Pump System," Resources, MDPI, vol. 6(4), pages 1-18, October.
    3. Javadi, Hossein & Mousavi Ajarostaghi, Seyed Soheil & Rosen, Marc A. & Pourfallah, Mohsen, 2019. "Performance of ground heat exchangers: A comprehensive review of recent advances," Energy, Elsevier, vol. 178(C), pages 207-233.
    4. 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).
    5. 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.
    6. Chengbin Zhang & Weibo Yang & Jingjing Yang & Suchen Wu & Yongping Chen, 2017. "Experimental Investigations and Numerical Simulation of Thermal Performance of a Horizontal Slinky-Coil Ground Heat Exchanger," Sustainability, MDPI, vol. 9(8), pages 1-22, August.
    7. 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.
    8. Zhang, Guozhu & Cao, Ziming & Xiao, Suguang & Guo, Yimu & Li, Chenglin, 2022. "A promising technology of cold energy storage using phase change materials to cool tunnels with geothermal hazards," Renewable and Sustainable Energy Reviews, Elsevier, vol. 163(C).
    9. Sofyan, Sarwo Edhy & Hu, Eric & Kotousov, Andrei, 2016. "A new approach to modelling of a horizontal geo-heat exchanger with an internal source term," Applied Energy, Elsevier, vol. 164(C), pages 963-971.
    10. 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.
    11. Jing, Zefeng & Wang, Huaijiu & Feng, Chenchen & Wang, Shuzhong, 2020. "Numerical study on the heat characteristics of a novel artificial seepage thermal storage based on the successive four seasons," Renewable Energy, Elsevier, vol. 160(C), pages 1185-1193.
    12. Lazaros Aresti & Paul Christodoulides & Gregoris P. Panayiotou & Georgios Florides, 2020. "Residential Buildings’ Foundations as a Ground Heat Exchanger and Comparison among Different Types in a Moderate Climate Country," Energies, MDPI, vol. 13(23), pages 1-22, November.
    13. 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.
    14. Gan, Guohui, 2018. "Dynamic thermal performance of horizontal ground source heat pumps – The impact of coupled heat and moisture transfer," Energy, Elsevier, vol. 152(C), pages 877-887.
    15. Sorranat Ratchawang & Srilert Chotpantarat & Sasimook Chokchai & Isao Takashima & Youhei Uchida & Punya Charusiri, 2022. "A Review of Ground Source Heat Pump Application for Space Cooling in Southeast Asia," Energies, MDPI, vol. 15(14), pages 1-18, July.
    16. Cuny, Mathias & Lin, Jian & Siroux, Monica & Fond, Christophe, 2020. "Influence of rainfall events on the energy performance of an earth-air heat exchanger embedded in a multilayered soil," Renewable Energy, Elsevier, vol. 147(P2), pages 2664-2675.
    17. Soni, Suresh Kumar & Pandey, Mukesh & Bartaria, Vishvendra Nath, 2016. "Hybrid ground coupled heat exchanger systems for space heating/cooling applications: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 724-738.
    18. Sivasakthivel, T. & Murugesan, K. & Sahoo, P.K., 2014. "A study on energy and CO2 saving potential of ground source heat pump system in India," Renewable and Sustainable Energy Reviews, Elsevier, vol. 32(C), pages 278-293.
    19. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    20. Mirzanamadi, Raheb & Hagentoft, Carl-Eric & Johansson, Pär, 2020. "Coupling a Hydronic Heating Pavement to a Horizontal Ground Heat Exchanger for harvesting solar energy and heating road surfaces," Renewable Energy, Elsevier, vol. 147(P1), pages 447-463.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:152:y:2018:i:c:p:732-743. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.