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New g-functions for the hourly simulation of double U-tube borehole heat exchanger fields

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  • Zanchini, E.
  • Lazzari, S.

Abstract

A new method for the hourly simulation of fields of long BHEs (borehole heat exchangers) is presented, in dimensionless form. The method considers also the internal structure of the BHE, with reference to double U-tube BHEs. The analytical expressions of new g-functions (time evolutions of the dimensionless temperature, averaged along the BHE length, due to a uniform and constant heat load) are presented, which complement those reported in Zanchini E., Lazzari S., Energy 2013; 59: 570–80. The new g-functions yield the dimensionless temperature at the interface tubes-grout, and allow a more precise determination of the time evolution of the temperature of the operating fluid during hourly peak loads. Moreover, g-functions at the interface tubes-grout and at several radial distances are reported also for BHEs with a ratio 500 between length and diameter, a value not considered in the previous paper. Due to its higher accuracy, the new method is recommended for the hourly simulation and the optimization of ground-coupled heap pump systems with double U-tube BHEs.

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  • Zanchini, E. & Lazzari, S., 2014. "New g-functions for the hourly simulation of double U-tube borehole heat exchanger fields," Energy, Elsevier, vol. 70(C), pages 444-455.
    • Handle: RePEc:eee:energy:v:70:y:2014:i:c:p:444-455
    DOI: 10.1016/j.energy.2014.04.022
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    1. Zanchini, E. & Lazzari, S., 2013. "Temperature distribution in a field of long Borehole Heat Exchangers (BHEs) subjected to a monthly averaged heat flux," Energy, Elsevier, vol. 59(C), pages 570-580.
    2. Loveridge, Fleur & Powrie, William, 2014. "G-Functions for multiple interacting pile heat exchangers," Energy, Elsevier, vol. 64(C), pages 747-757.
    3. Zanchini, E. & Lazzari, S. & Priarone, A., 2010. "Effects of flow direction and thermal short-circuiting on the performance of small coaxial ground heat exchangers," Renewable Energy, Elsevier, vol. 35(6), pages 1255-1265.
    4. Lazzari, Stefano & Priarone, Antonella & Zanchini, Enzo, 2010. "Long-term performance of BHE (borehole heat exchanger) fields with negligible groundwater movement," Energy, Elsevier, vol. 35(12), pages 4966-4974.
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    8. Zanchini, E. & Lazzari, S. & Priarone, A., 2010. "Improving the thermal performance of coaxial borehole heat exchangers," Energy, Elsevier, vol. 35(2), pages 657-666.
    9. Zanchini, Enzo & Lazzari, Stefano & Priarone, Antonella, 2012. "Long-term performance of large borehole heat exchanger fields with unbalanced seasonal loads and groundwater flow," Energy, Elsevier, vol. 38(1), pages 66-77.
    10. Bujok, Petr & Grycz, David & Klempa, Martin & Kunz, Antonín & Porzer, Michal & Pytlik, Adam & Rozehnal, Zdeněk & Vojčinák, Petr, 2014. "Assessment of the influence of shortening the duration of TRT (thermal response test) on the precision of measured values," Energy, Elsevier, vol. 64(C), pages 120-129.
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    Cited by:

    1. Zanchini, Enzo & Jahanbin, Aminhossein, 2018. "Simple equations to evaluate the mean fluid temperature of double-U-tube borehole heat exchangers," Applied Energy, Elsevier, vol. 231(C), pages 320-330.
    2. 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.
    3. Shibin Geng & Yong Li & Xu Han & Huiliang Lian & Hua Zhang, 2016. "Evaluation of Thermal Anomalies in Multi-Boreholes Field Considering the Effects of Groundwater Flow," Sustainability, MDPI, vol. 8(6), pages 1-19, June.
    4. 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.
    5. Zanchini, Enzo & Jahanbin, Aminhossein, 2017. "Correlations to determine the mean fluid temperature of double U-tube borehole heat exchangers with a typical geometry," Applied Energy, Elsevier, vol. 206(C), pages 1406-1415.
    6. Longo, L. & Colantoni, A. & Castellucci, S. & Carlini, M. & Vecchione, L. & Savuto, E. & Pallozzi, V. & Di Carlo, A. & Bocci, E. & Moneti, M. & Cocchi, S. & Boubaker, K., 2015. "DEA (data envelopment analysis)-assisted supporting measures for ground coupled heat pumps implementing in Italy: A case study," Energy, Elsevier, vol. 90(P2), pages 1967-1972.
    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. Kordas, Olga & Nikiforovich, Eugene, 2019. "A phenomenological theory of steady-state vertical geothermal systems: A novel approach," Energy, Elsevier, vol. 175(C), pages 23-35.

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