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An average fluid temperature to estimate borehole thermal resistance of ground heat exchanger

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  • Du, Ciyuan
  • Chen, Youming

Abstract

Analysis of borehole thermal resistance is important for the standard sizing of ground heat exchanger (GHE). In this paper, a p-linear dimensionless average fluid temperature is proposed to estimate borehole thermal resistance. A p-linear dimensionless fluid temperature and p-linear dimensionless average fluid temperature are introduced, and the p-linear dimensionless fluid temperature is compared with theoretical dimensionless fluid temperature calculated by quasi-three-dimensional model for both single and double U-tubes. Results show that the p-linear dimensionless temperatures with parameters p→0 and p=−1/2 are respectively in good agreement with the theoretical dimensionless fluid temperatures of single and double U-tubes. Therefore, the dimensionless logarithmic mean temperature for p→0 and the dimensionless geometric mean temperature for p=−1/2 should respectively be adopted to reasonably estimate the thermal resistance of single and double U-tube boreholes.

Suggested Citation

  • Du, Ciyuan & Chen, Youming, 2011. "An average fluid temperature to estimate borehole thermal resistance of ground heat exchanger," Renewable Energy, Elsevier, vol. 36(6), pages 1880-1885.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:6:p:1880-1885
    DOI: 10.1016/j.renene.2010.10.033
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    References listed on IDEAS

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    1. Marcotte, D. & Pasquier, P., 2008. "On the estimation of thermal resistance in borehole thermal conductivity test," Renewable Energy, Elsevier, vol. 33(11), pages 2407-2415.
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    1. Raymond, Jasmin & Lamarche, Louis & Malo, Michel, 2015. "Field demonstration of a first thermal response test with a low power source," Applied Energy, Elsevier, vol. 147(C), pages 30-39.
    2. Zhang, Changxing & Wang, Xinjie & Sun, Pengkun & Kong, Xiangqiang & Sun, Shicai, 2020. "Effect of depth and fluid flow rate on estimate for borehole thermal resistance of single U-pipe borehole heat exchanger," Renewable Energy, Elsevier, vol. 147(P1), pages 2399-2408.
    3. 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.
    4. Zhang, Changxing & Xu, Hang & Fan, Jianhua & Sun, Pengkun & Sun, Shicai & Kong, Xiangqiang, 2020. "The coupled two-step parameter estimation procedure for borehole thermal resistance in thermal response test," Renewable Energy, Elsevier, vol. 154(C), pages 672-683.
    5. Chen, Youming & Pan, Bingbing & Zhang, Xunshui & Du, Ciyuan, 2019. "Thermal response factors for fast parameterized design and long-term performance simulation of vertical GCHP systems," Renewable Energy, Elsevier, vol. 136(C), pages 793-804.

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