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Analytical solution model of heat transfer for energy soldier piles during excavation to backfilling

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  • Kong, Gangqiang
  • Dai, Guohao
  • Zhou, Yang
  • Yang, Qing

Abstract

This paper presents a two-dimensional heat transfer model for energy soldier piles during excavation and after backfilling. Based on Green's function and separation of variables method, this model considers the heat transfer process from various angles during excavation and after backfilling, deriving a series of analytical solutions for the heat transfer processes. It is more suitable for solving the heat transfer problem of energy soldier piles. The accuracy of the analytical solution was verified by numerical simulation and classical analytical solutions. Then, the effects of air convection coefficient and backfill materials' thermal diffusivity on heat transfer are analyzed. The results show that the temperature rise of both the soil and the pile in the non-excavated case (ordinary energy pile) is lower than that of the various convective coefficient cases, and the convective heat transfer contributes to the heat transfer capacity of energy soldier piles. After backfilling, materials with higher thermal diffusivity have smaller temperature rise. Conversely, materials with lower thermal diffusivity have higher temperature rise. Under the long-term operation strategy, the heat flux within the soil and backfill is higher and favorable for heat transfer by selecting the backfill with lower thermal diffusivity.

Suggested Citation

  • Kong, Gangqiang & Dai, Guohao & Zhou, Yang & Yang, Qing, 2024. "Analytical solution model of heat transfer for energy soldier piles during excavation to backfilling," Renewable Energy, Elsevier, vol. 226(C).
    • Handle: RePEc:eee:renene:v:226:y:2024:i:c:s096014812400421x
    DOI: 10.1016/j.renene.2024.120356
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    References listed on IDEAS

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    1. Zhou, Guoqing & Zhou, Yang & Zhang, Donghai, 2016. "Analytical solutions for two pile foundation heat exchanger models in a double-layered ground," Energy, Elsevier, vol. 112(C), pages 655-668.
    2. Loveridge, Fleur & Powrie, William, 2014. "G-Functions for multiple interacting pile heat exchangers," Energy, Elsevier, vol. 64(C), pages 747-757.
    3. Zhou, Yang & Wu, Zi-han & Wang, Kang, 2021. "An analytical model for heat transfer outside a single borehole heat exchanger considering convection at ground surface and advection of vertical water flow," Renewable Energy, Elsevier, vol. 172(C), pages 1046-1062.
    4. Alberdi-Pagola, Maria & Poulsen, Søren Erbs & Loveridge, Fleur & Madsen, Søren & Jensen, Rasmus Lund, 2018. "Comparing heat flow models for interpretation of precast quadratic pile heat exchanger thermal response tests," Energy, Elsevier, vol. 145(C), pages 721-733.
    5. Zhou, Yang & Zheng, Zhi-xiang & Zhao, Guang-si, 2022. "Analytical models for heat transfer around a single ground heat exchanger in the presence of both horizontal and vertical groundwater flow considering a convective boundary condition," Energy, Elsevier, vol. 245(C).
    6. 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.
    7. Cao, Xuan & Kong, Gangqiang & Han, Chanjuan, 2024. "Feasibility assessment of implementing energy pile-based snowmelt system on a practical bridge deck in diverse climate conditions across China," Energy, Elsevier, vol. 290(C).
    8. Dai, Quanwei & Rotta Loria, Alessandro F. & Choo, Jinhyun, 2022. "Effects of internal airflows on the heat exchange potential and mechanics of energy walls," Renewable Energy, Elsevier, vol. 197(C), pages 1069-1080.
    9. Makasis, Nikolas & Narsilio, Guillermo A., 2020. "Energy diaphragm wall thermal design: The effects of pipe configuration and spacing," Renewable Energy, Elsevier, vol. 154(C), pages 476-487.
    10. Sutman, Melis & Speranza, Gianluca & Ferrari, Alessio & Larrey-Lassalle, Pyrène & Laloui, Lyesse, 2020. "Long-term performance and life cycle assessment of energy piles in three different climatic conditions," Renewable Energy, Elsevier, vol. 146(C), pages 1177-1191.
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