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A dimension reduction algorithm for numerical simulation of multi-borehole heat exchangers

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  • Zhang, Fangfang
  • Fang, Liang
  • Jia, Linrui
  • Man, Yi
  • Cui, Ping
  • Zhang, Wenke
  • Fang, Zhaohong

Abstract

Aimed at applications in ground-coupled heat pump and thermal energy storage systems, this paper presents a heat transfer model of a deep borehole cluster, taking into account the geothermal gradient in the subsurface and the real connection conditions of the two regions inside and outside the borehole. The superposition principle is proven valid in a mathematical sense for such models in certain conditions, and the three-dimensional heat conduction problem for a multi-borehole heat exchanger may be decomposed into a number of two-dimensional single-borehole problems. Then, a new dimension reduction algorithm is proposed for simulation of heat transfer in the deep borehole cluster. Using this algorithm, comparisons with other commercial model and simulations on example cases show that computational efficiency can be improved by orders of magnitude compared with traditional three-dimensional software.

Suggested Citation

  • Zhang, Fangfang & Fang, Liang & Jia, Linrui & Man, Yi & Cui, Ping & Zhang, Wenke & Fang, Zhaohong, 2021. "A dimension reduction algorithm for numerical simulation of multi-borehole heat exchangers," Renewable Energy, Elsevier, vol. 179(C), pages 2235-2245.
  • Handle: RePEc:eee:renene:v:179:y:2021:i:c:p:2235-2245
    DOI: 10.1016/j.renene.2021.08.028
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    References listed on IDEAS

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    Cited by:

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    2. Zheng, Jianqiao & Zhang, Yanjun & Huang, Yibin & Liu, Qiangbin & Cheng, Yuxiang & Guo, Jixiang, 2024. "Numerical investigation on heat transfer performance of the segmented cementing coaxial heat exchanger," Renewable Energy, Elsevier, vol. 220(C).
    3. Jia, Linrui & Lu, Lin & Chen, Jianheng & Han, Jie, 2022. "A novel radiative sky cooling-assisted ground-coupled heat exchanger system to improve thermal and energy efficiency for buildings in hot and humid regions," Applied Energy, Elsevier, vol. 322(C).
    4. Kexun Wang & Tishi Huang & Wenke Zhang & Zhiqiang Zhang & Xueqing Ma & Leyao Zhang, 2023. "An Analysis of the Heat Transfer Characteristics of Medium-Shallow Borehole Ground Heat Exchangers with Various Working Fluids," Sustainability, MDPI, vol. 15(16), pages 1-21, August.
    5. Chen, Wen & Zhou, Chaohui & Huang, Xinyu & Luo, Hanbin & Luo, Yongqiang & Cheng, Nan & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Zhang, Ling, 2024. "Study on thermal radius and capacity of multiple deep borehole heat exchangers: Analytical solution, algorithm and application based on Response Factor Matrix method (RFM)," Energy, Elsevier, vol. 296(C).

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