IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i8p2120-d350015.html
   My bibliography  Save this article

A New Analytical Model for Calculating Transient Temperature Response of Vertical Ground Heat Exchangers with a Single U-Shaped Tube

Author

Listed:
  • Shichen Gao

    (School of Science, China University of Geosciences (Beijing), Beijing 100083, China)

  • Changfu Tang

    (Exploration Research Institute, Anhui Provincial Bureau of Coal Geology, Hefei 230088, China)

  • Wanjing Luo

    (School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China)

  • Jiaqiang Han

    (School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China)

  • Bailu Teng

    (School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China)

Abstract

The transient temperature response is of great importance for evaluating the thermal capacity of ground heat exchangers (GHE). Based on the composition line source theory and superposition principle, we have developed a novel analytical model in Laplace space for calculating the temperature transient response. In comparison to the existing models, this proposed model can account for the fluid thermal storage effect and heat rate difference between the two legs of the single U-tube. With the aid of this proposed model, we conduct a thorough sensitivity analysis to investigate the effects of different influencing factors on the thermal transient response. The calculated results show that fluid thermal storage and the rate difference can significantly influence the thermal response during the early studied period. Therefore, the effect of fluid thermal storage should not be neglected when the early-time thermal response is investigated. The thermal interference between the two legs will reduce the heat capacity of GHEs. A large distance between these two legs can be favorable for practical use.

Suggested Citation

  • Shichen Gao & Changfu Tang & Wanjing Luo & Jiaqiang Han & Bailu Teng, 2020. "A New Analytical Model for Calculating Transient Temperature Response of Vertical Ground Heat Exchangers with a Single U-Shaped Tube," Energies, MDPI, vol. 13(8), pages 1-12, April.
  • Handle: RePEc:gam:jeners:v:13:y:2020:i:8:p:2120-:d:350015
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/8/2120/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/13/8/2120/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Javed, Saqib & Spitler, Jeffrey, 2017. "Accuracy of borehole thermal resistance calculation methods for grouted single U-tube ground heat exchangers," Applied Energy, Elsevier, vol. 187(C), pages 790-806.
    2. 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.
    3. Li, Min & Lai, Alvin C.K., 2012. "New temperature response functions (G functions) for pile and borehole ground heat exchangers based on composite-medium line-source theory," Energy, Elsevier, vol. 38(1), pages 255-263.
    4. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
    5. Yang, H. & Cui, P. & Fang, Z., 2010. "Vertical-borehole ground-coupled heat pumps: A review of models and systems," Applied Energy, Elsevier, vol. 87(1), pages 16-27, January.
    6. Beier, Richard A., 2011. "Vertical temperature profile in ground heat exchanger during in-situ test," Renewable Energy, Elsevier, vol. 36(5), pages 1578-1587.
    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. Kudela, Libor & Špiláček, Michal & Pospíšil, Jiří, 2021. "Influence of control strategy on seasonal coefficient of performance for a heat pump with low-temperature heat storage in the geographical conditions of Central Europe," Energy, Elsevier, vol. 234(C).
    2. Tomasz Janusz Teleszewski & Dorota Anna Krawczyk & Jose María Fernandez-Rodriguez & Angélica Lozano-Lunar & Antonio Rodero, 2022. "The Study of Soil Temperature Distribution for Very Low-Temperature Geothermal Energy Applications in Selected Locations of Temperate and Subtropical Climate," Energies, MDPI, vol. 15(9), 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. Zhang, Linfeng & Zhang, Quan & Huang, Gongsheng, 2016. "A transient quasi-3D entire time scale line source model for the fluid and ground temperature prediction of vertical ground heat exchangers (GHEs)," Applied Energy, Elsevier, vol. 170(C), pages 65-75.
    2. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Insights into geothermal utilization of abandoned oil and gas wells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 87(C), pages 44-60.
    3. Zhou, Yang & Zheng, Zhi-xiang & Zhao, Guang-si, 2022. "Analytical models for heat transfer around a single ground heat exchanger in the presence of both horizontal and vertical groundwater flow considering a convective boundary condition," Energy, Elsevier, vol. 245(C).
    4. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    5. Jia, Jie & Lee, W.L. & Cheng, Yuanda, 2019. "Field demonstration of a first constant-temperature thermal response test with both heat injection and extraction for ground source heat pump systems," Applied Energy, Elsevier, vol. 249(C), pages 79-86.
    6. 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.
    7. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "A finite line source model with Cauchy-type top boundary conditions for simulating near surface effects on borehole heat exchangers," Energy, Elsevier, vol. 98(C), pages 50-63.
    8. Guo, Y. & Huang, G. & Liu, W.V., 2023. "A new semi-analytical solution addressing varying heat transfer rates for U-shaped vertical borehole heat exchangers in multilayered ground," Energy, Elsevier, vol. 274(C).
    9. Li, Min & Zhang, Liwen & Liu, Gang, 2020. "Step-wise algorithm for estimating multi-parameter of the ground and geothermal heat exchangers from thermal response tests," Renewable Energy, Elsevier, vol. 150(C), pages 435-442.
    10. Zhang, Xueping & Han, Zongwei & Ji, Qiang & Zhang, Hongzhi & Li, Xiuming, 2021. "Thermal response tests for the identification of soil thermal parameters: A review," Renewable Energy, Elsevier, vol. 173(C), pages 1123-1135.
    11. 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.
    12. Javed, Saqib & Spitler, Jeffrey, 2017. "Accuracy of borehole thermal resistance calculation methods for grouted single U-tube ground heat exchangers," Applied Energy, Elsevier, vol. 187(C), pages 790-806.
    13. Li, Min & Zhang, Liwen & Liu, Gang, 2019. "Estimation of thermal properties of soil and backfilling material from thermal response tests (TRTs) for exploiting shallow geothermal energy: Sensitivity, identifiability, and uncertainty," Renewable Energy, Elsevier, vol. 132(C), pages 1263-1270.
    14. 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.
    15. Park, Sangwoo & Lee, Seokjae & Park, Sangyeong & Choi, Hangseok, 2022. "Empirical formulas for borehole thermal resistance of parallel U-type cast-in-place energy pile," Renewable Energy, Elsevier, vol. 197(C), pages 211-227.
    16. Abbas, Zulkarnain & Yong, Li & Abbas, Saqlain & Chen, Dongwen & Li, Y. & Wang, R.Z., 2021. "Performance analysis of seasonal soil heat storage system based on numerical simulation and experimental investigation," Renewable Energy, Elsevier, vol. 178(C), pages 66-78.
    17. Ma, WeiWu & Li, Min & Li, Ping & Lai, Alvin C.K., 2015. "New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance," Energy, Elsevier, vol. 90(P1), pages 578-587.
    18. Zhang, Linfeng & Huang, Gongsheng & Zhang, Quan & Wang, Jinggang, 2018. "An hourly simulation method for the energy performance of an office building served by a ground-coupled heat pump system," Renewable Energy, Elsevier, vol. 126(C), pages 495-508.
    19. 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.
    20. Claudia Naldi & Aminhossein Jahanbin & Enzo Zanchini, 2021. "A New Estimate of Sand and Grout Thermal Properties in the Sandbox Experiment for Accurate Validations of Borehole Simulation Codes," Energies, MDPI, vol. 14(4), pages 1-25, February.

    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:gam:jeners:v:13:y:2020:i:8:p:2120-:d:350015. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.