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New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance

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  • Ma, WeiWu
  • Li, Min
  • Li, Ping
  • Lai, Alvin C.K.

Abstract

U-shaped GHEs (ground heat exchangers) are critical components in ground-coupled heat pumps and seasonal ground heat storage. This article reports a new quasi-3D heat transfer model for the circulating fluid in U-shaped GHEs to tackle the variation of the fluid temperature along the U-shaped channels. The model is derived from a full-scale temperature response function (G-function). The fluid temperatures in the descending and ascending legs are derived as functions of time and borehole depth. The quasi-3D model, together with the full-scale G-function, yields several effective overall thermal resistances of analytical forms. We also revise and improve the design formula proposed in the ASHRAE handbook by applying the effective thermal resistances. The improved design rule requires fewer input parameters but can address more influencing factors than the original ASHRAE's design formula.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:90:y:2015:i:p1:p:578-587
    DOI: 10.1016/j.energy.2015.07.098
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    References listed on IDEAS

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    2. Choi, Jung Chan & Park, Joonsang & Lee, Seung Rae, 2013. "Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays," Renewable Energy, Elsevier, vol. 52(C), pages 230-240.
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    6. 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.
    7. 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.
    8. 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.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Cimmino, Massimo, 2016. "Fluid and borehole wall temperature profiles in vertical geothermal boreholes with multiple U-tubes," Renewable Energy, Elsevier, vol. 96(PA), pages 137-147.
    7. 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.
    8. Nilsson, Emil & Rohdin, Patrik, 2019. "Performance evaluation of an industrial borehole thermal energy storage (BTES) project – Experiences from the first seven years of operation," Renewable Energy, Elsevier, vol. 143(C), pages 1022-1034.
    9. Johan Claesson & Saqib Javed, 2018. "Explicit Multipole Formulas for Calculating Thermal Resistance of Single U-Tube Ground Heat Exchangers," Energies, MDPI, vol. 11(1), pages 1-17, January.
    10. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2018. "Evaluation of a transient borehole heat exchanger model in dynamic simulation of a ground source heat pump system," Energy, Elsevier, vol. 147(C), pages 81-93.
    11. Bi, Yuehong & Lyu, Tianli & Wang, Hongyan & Sun, Ruirui & Yu, Meize, 2019. "Parameter analysis of single U-tube GHE and dynamic simulation of underground temperature field round one year for GSHP," Energy, Elsevier, vol. 174(C), pages 138-147.

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