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Comparative study on heat transfer models of U-bend deep borehole heat exchanger based on different G functions
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Changlong Wang1, 2, Wanyu Sun1, 2, Yanchun Guo2, Tianzhuo Jiang1, 2, Yanhong Sun1
Renewable Energy Resources | 2026, 44(1) : 33 - 40
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Renewable Energy Resources | 2026, 44(1): 33-40
Comparative study on heat transfer models of U-bend deep borehole heat exchanger based on different G functions
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Changlong Wang1, 2, Wanyu Sun1, 2, Yanchun Guo2, Tianzhuo Jiang1, 2, Yanhong Sun1
Affiliations
  • 1.School of Civil Engineering and Architecture, Anhui University of Technology, Ma'anshan 243002, China
  • 2.Key Laboratory of Shallow Geothermal Energy, Ministry of Natural Resources of the People's Republic of China, Beijing 100195, China
Published: 2026-01-20
Outline
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The U-bend deep borehole heat exchanger (UDBHE) has a promising application potential. This paper is based on the G functions of infinite cylindrical source (ICS) and infinite line source (ILS) models, four heat transfer models of UDBHE are established, and they adopt the G function of ICS or ILS model, and consider or ignore the time-varying heat flow at the borehole wall, which are abbreviated as ICS-q, ILS-q, ICS-c and ILS-c models, respectively. The accuracy of the four models is studied by comparing with a more accurate two-dimensional numerical model and experimental data under two boundary conditions. The results show that the ILS-q model is the most accurate on the whole, and that the ICS-q model is the most accurate in analyzing the long-term performance of UDBHE. The four models have large errors in the early stage, but after enough long time, the errors of them are small except that the ILS-c and ICS-c models have large errors under the inlet temperature boundary condition. The errors mainly result from two aspects: the G functions of ICS and ILS models have some errors; ignoring the time-varying heat flow will cause some errors. The results can provide reference for the heat transfer model study of UDBHE.

U-bend deep borehole heat exchanger  /  G function  /  heat transfer model  /  infinite cylindrical source  /  infinite line source model
王昌龙, 孙婉玉, 郭艳春, 蒋天茁, 孙彦红. 基于不同G函数的U型中深层地埋管传热模型对比研究. 可再生能源, 2026 , 44 (1) : 33 -40 .
Changlong Wang, Wanyu Sun, Yanchun Guo, Tianzhuo Jiang, Yanhong Sun. Comparative study on heat transfer models of U-bend deep borehole heat exchanger based on different G functions[J]. Renewable Energy Resources, 2026 , 44 (1) : 33 -40 .
Year 2026 volume 44 Issue 1
119
34
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  • Receive Date:2024-09-03
  • Online Date:2026-09-23
  • Published:2026-01-20
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  • Received:2024-09-03
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Affiliations
    1.School of Civil Engineering and Architecture, Anhui University of Technology, Ma'anshan 243002, China
    2.Key Laboratory of Shallow Geothermal Energy, Ministry of Natural Resources of the People's Republic of China, Beijing 100195, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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