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Temperature distribution in a field of long Borehole Heat Exchangers (BHEs) subjected to a monthly averaged heat flux

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  • Zanchini, E.
  • Lazzari, S.

Abstract

A method to evaluate the long-term temperature distribution in a field of long Borehole Heat Exchangers (BHEs) subjected to a monthly averaged heat flux is presented, under the assumption that the effects of the groundwater flow are negligible. Each BHE is considered as a cylindrical heat source with diameter D and length L. For each ratio L/D and dimensionless radial distance r/D, the g-function (time-dependent dimensionless temperature, averaged along the BHE length, due to a uniform and constant heat load) is determined by finite-element simulations and written in polynomial form through accurate interpolations, in a very broad range of values of the dimensionless time. Tables of the coefficients of the polynomial functions are provided. The g-functions are then used to determine the time evolution of the mean dimensionless temperature at the interface BHE-ground, averaged among BHEs, for some BHE fields subjected to a monthly averaged heat load.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:59:y:2013:i:c:p:570-580
    DOI: 10.1016/j.energy.2013.06.040
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Zanchini, E. & Lazzari, S. & Priarone, A., 2010. "Improving the thermal performance of coaxial borehole heat exchangers," Energy, Elsevier, vol. 35(2), pages 657-666.
    4. 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.
    5. Bozzoli, F. & Pagliarini, G. & Rainieri, S. & Schiavi, L., 2011. "Estimation of soil and grout thermal properties through a TSPEP (two-step parameter estimation procedure) applied to TRT (thermal response test) data," Energy, Elsevier, vol. 36(2), pages 839-846.
    6. 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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    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. 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.
    3. 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.
    4. 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.
    5. Gultekin, Ahmet & Aydin, Murat & Sisman, Altug, 2019. "Effects of arrangement geometry and number of boreholes on thermal interaction coefficient of multi-borehole heat exchangers," Applied Energy, Elsevier, vol. 237(C), pages 163-170.
    6. Alberdi-Pagola, Maria & Poulsen, Søren Erbs & Jensen, Rasmus Lund & Madsen, Søren, 2020. "A case study of the sizing and optimisation of an energy pile foundation (Rosborg, Denmark)," Renewable Energy, Elsevier, vol. 147(P2), pages 2724-2735.
    7. Aminhossein Jahanbin & Claudia Naldi & Enzo Zanchini, 2020. "Relation Between Mean Fluid Temperature and Outlet Temperature for Single U-Tube Boreholes," Energies, MDPI, vol. 13(4), pages 1-23, February.
    8. Claudia Naldi & Enzo Zanchini, 2019. "Full-Time-Scale Fluid-to-Ground Thermal Response of a Borefield with Uniform Fluid Temperature," Energies, MDPI, vol. 12(19), pages 1-18, September.
    9. 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.

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