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Periodic heat flux composite model for borehole heat exchanger and its application

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  • Lei, Fei
  • Hu, Pingfang
  • Zhu, Na
  • Wu, Tianhua

Abstract

Most existing borehole heat exchanger models are based on constant heat flux solutions. This paper first proposes a periodic heat flux composite model for a borehole heat exchanger to reproduce the periodic nature of real loads. An explicit analytical solution of a periodic cylinder-source in composite media is derived using a harmonic method. The periodic thermal response factor is defined to characterize the thermal behaviour of a borehole subjected to a periodic heat flux. The periodic thermal responses factors for high- and low-frequency periodic heat flux are dominantly determined by the thermal properties of the content inside the borehole and the ground outside the borehole, respectively. A frequency decomposition hybrid algorithm is specially designed according to the frequency response characteristic of borehole. The proposed periodic heat flux model is verified through an inter-model comparison with existing constant heat flux models and the comparison indicates an equivalent relationship between the two types of models. An annual simulation is performed using the hybrid algorithm and the accuracy of the algorithm is verified. The paper also presents a new method to analyse the data of an oscillatory thermal response test by using the periodic composite model. The effective heat capacities of the ground and grout are estimated. The simulation results of the periodic composite model are in good agreement with the experimental data.

Suggested Citation

  • Lei, Fei & Hu, Pingfang & Zhu, Na & Wu, Tianhua, 2015. "Periodic heat flux composite model for borehole heat exchanger and its application," Applied Energy, Elsevier, vol. 151(C), pages 132-142.
    • Handle: RePEc:eee:appene:v:151:y:2015:i:c:p:132-142
    DOI: 10.1016/j.apenergy.2015.04.035
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    References listed on IDEAS

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    1. Li, Min & Li, Ping & Chan, Vincent & Lai, Alvin C.K., 2014. "Full-scale temperature response function (G-function) for heat transfer by borehole ground heat exchangers (GHEs) from sub-hour to decades," Applied Energy, Elsevier, vol. 136(C), pages 197-205.
    2. 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.
    3. Zhang, Changxing & Chen, Ping & Liu, Yufeng & Sun, Shicai & Peng, Donggen, 2015. "An improved evaluation method for thermal performance of borehole heat exchanger," Renewable Energy, Elsevier, vol. 77(C), pages 142-151.
    4. Lamarche, Louis, 2013. "Short-term behavior of classical analytic solutions for the design of ground-source heat pumps," Renewable Energy, Elsevier, vol. 57(C), pages 171-180.
    5. Yang, H. & Cui, P. & Fang, Z., 2010. "Vertical-borehole ground-coupled heat pumps: A review of models and systems," Applied Energy, Elsevier, vol. 87(1), pages 16-27, January.
    6. Yang, Weibo & Shi, Mingheng & Liu, Guangyuan & Chen, Zhenqian, 2009. "A two-region simulation model of vertical U-tube ground heat exchanger and its experimental verification," Applied Energy, Elsevier, vol. 86(10), pages 2005-2012, October.
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    1. Yong Li & Shibin Geng & Xu Han & Hua Zhang & Fusheng Peng, 2017. "Performance Evaluation of Borehole Heat Exchanger in Multilayered Subsurface," Sustainability, MDPI, vol. 9(3), pages 1-16, March.
    2. 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.
    3. Lamarche, Louis & Raymond, Jasmin & Giordano, Nicolò, 2024. "Oscillatory thermal response tests to estimate the ground thermal diffusivity," Applied Energy, Elsevier, vol. 353(PA).
    4. Sangwoo Park & Seokjae Lee & Hyobum Lee & Khanh Pham & Hangseok Choi, 2016. "Effect of Borehole Material on Analytical Solutions of the Heat Transfer Model of Ground Heat Exchangers Considering Groundwater Flow," Energies, MDPI, vol. 9(5), pages 1-19, April.

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