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

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  • 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
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    References listed on IDEAS

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    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.
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    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.
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    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.

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