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A new 1D analytical model for investigating the long term heat transfer rate of a borehole ground heat exchanger by Green's function method

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  • Dehghan B., Babak
  • Kukrer, Ergin

Abstract

In ground source heat pump (GSHP) applications, long term performance prediction of a borehole is an important issue since performance of a borehole ground heat exchanger decreases by the life time of the system. Therefore, it is important to find a reliable method determining the long term performance of a borehole. In this study, a new 1D analytical expression for heat transfer rate (HTR) per unit length of a borehole is derived at constant borehole wall temperature condition by using Green's function method (GFM). A 50 m-depth borehole containing U-tube polyethylene pipes with 32 mm outside and 26.6 inside diameter is considered. Experimental measurements are done by pumping warm water of 40 °C into the pipe system for 120 h. Variation of HTR value per length of borehole in time is determined from the experimental data. Analytical results based on GFM are verified by experimental measurements. Based on the validated analytical model, long term HTR values (thermal performance) per length of borehole are predicted. Verification of numeric and experiment results illustrates the compromise of them. Furthermore, temperature distribution around borehole is investigated by using new given analytical expression. Engineers can use analytical models that are given in this study in designing of GSHP systems.

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  • Dehghan B., Babak & Kukrer, Ergin, 2017. "A new 1D analytical model for investigating the long term heat transfer rate of a borehole ground heat exchanger by Green's function method," Renewable Energy, Elsevier, vol. 108(C), pages 615-621.
    • Handle: RePEc:eee:renene:v:108:y:2017:i:c:p:615-621
    DOI: 10.1016/j.renene.2016.11.002
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    1. Blum, Philipp & Campillo, Gisela & Kölbel, Thomas, 2011. "Techno-economic and spatial analysis of vertical ground source heat pump systems in Germany," Energy, Elsevier, vol. 36(5), pages 3002-3011.
    2. Michopoulos, [alpha]. & [Kappa]yriakis, [Nu]., 2009. "Predicting the fluid temperature at the exit of the vertical ground heat exchangers," Applied Energy, Elsevier, vol. 86(10), pages 2065-2070, October.
    3. Lee, C.K. & Lam, H.N., 2008. "Computer simulation of borehole ground heat exchangers for geothermal heat pump systems," Renewable Energy, Elsevier, vol. 33(6), pages 1286-1296.
    4. Dai, L.H. & Shang, Y. & Li, X.L. & Li, S.F., 2016. "Analysis on the transient heat transfer process inside and outside the borehole for a vertical U-tube ground heat exchanger under short-term heat storage," Renewable Energy, Elsevier, vol. 87(P3), pages 1121-1129.
    5. Lee, C.K., 2016. "A modified three-dimensional numerical model for predicting the short-time-step performance of borehole ground heat exchangers," Renewable Energy, Elsevier, vol. 87(P1), pages 618-627.
    6. De Carli, Michele & Tonon, Massimo & Zarrella, Angelo & Zecchin, Roberto, 2010. "A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers," Renewable Energy, Elsevier, vol. 35(7), pages 1537-1550.
    7. Maestre, Ismael Rodríguez & Gallero, Francisco Javier González & Gómez, Pascual Álvarez & Pérez-Lombard, Luis, 2015. "A new RC and g-function hybrid model to simulate vertical ground heat exchangers," Renewable Energy, Elsevier, vol. 78(C), pages 631-642.
    8. Florides, Georgios A. & Christodoulides, Paul & Pouloupatis, Panayiotis, 2013. "Single and double U-tube ground heat exchangers in multiple-layer substrates," Applied Energy, Elsevier, vol. 102(C), pages 364-373.
    9. Aydın, Murat & Sisman, Altug, 2015. "Experimental and computational investigation of multi U-tube boreholes," Applied Energy, Elsevier, vol. 145(C), pages 163-171.
    10. Zhang, Changxing & Guo, Zhanjun & Liu, Yufeng & Cong, Xiaochun & Peng, Donggen, 2014. "A review on thermal response test of ground-coupled heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 851-867.
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    Cited by:

    1. 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.
    2. Dehghan B, Babak, 2018. "Thermal conductivity determination of ground by new modified two dimensional analytical models: Study cases," Renewable Energy, Elsevier, vol. 118(C), pages 393-401.
    3. Chen, Chaofan & Cai, Wanlong & Naumov, Dmitri & Tu, Kun & Zhou, Hongwei & Zhang, Yuping & Kolditz, Olaf & Shao, Haibing, 2021. "Numerical investigation on the capacity and efficiency of a deep enhanced U-tube borehole heat exchanger system for building heating," Renewable Energy, Elsevier, vol. 169(C), pages 557-572.

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