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A numerical model for transient simulation of borehole heat exchangers

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  • Biglarian, Hassan
  • Abbaspour, Madjid
  • Saidi, Mohammad Hassan

Abstract

A numerical model is developed to simulate the borehole heat exchanger both in the short and long time. In this regard, the computational domain is divided into the inside and outside borehole regions. A two-dimensional finite volume method is implemented in a cylindrical coordinate system for modeling of the outside borehole. Also, a thermal resistance-capacity model is presented for the borehole cross section. This model is extended to take into account the fluid transport through the U-tube and the temperature variation of the borehole components with depth. The governing equations of the two regions are solved iteratively in each time step. The proposed model is verified with the previously reported numerical, experimental and analytical results. Furthermore, the ability of the model in predicting the short-time response is evaluated in comparison with a three-dimensional computational fluid dynamics (CFD) model with a fine grid. The results show that the proposed model has a good performance in the prediction of the thermal response of the borehole in a wide time interval from 1 min to over 10 years. Moreover, the effects of time step size and number of capacity nodes on the results are investigated.

Suggested Citation

  • Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2017. "A numerical model for transient simulation of borehole heat exchangers," Renewable Energy, Elsevier, vol. 104(C), pages 224-237.
    • Handle: RePEc:eee:renene:v:104:y:2017:i:c:p:224-237
    DOI: 10.1016/j.renene.2016.12.010
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    References listed on IDEAS

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    1. Pasquier, Philippe & Marcotte, Denis, 2012. "Short-term simulation of ground heat exchanger with an improved TRCM," Renewable Energy, Elsevier, vol. 46(C), pages 92-99.
    2. Zarrella, Angelo & Scarpa, Massimiliano & De Carli, Michele, 2011. "Short time step analysis of vertical ground-coupled heat exchangers: The approach of CaRM," Renewable Energy, Elsevier, vol. 36(9), pages 2357-2367.
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    4. 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.
    5. 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.
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    Cited by:

    1. Zhu, Li & Chen, Sarula & Yang, Yang & Sun, Yong, 2019. "Transient heat transfer performance of a vertical double U-tube borehole heat exchanger under different operation conditions," Renewable Energy, Elsevier, vol. 131(C), pages 494-505.
    2. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.
    3. Ahmed A. Serageldin & Ali Radwan & Yoshitaka Sakata & Takao Katsura & Katsunori Nagano, 2020. "The Effect of Groundwater Flow on the Thermal Performance of a Novel Borehole Heat Exchanger for Ground Source Heat Pump Systems: Small Scale Experiments and Numerical Simulation," Energies, MDPI, vol. 13(6), pages 1-26, March.
    4. Marco Belliardi & Nerio Cereghetti & Paola Caputo & Simone Ferrari, 2021. "A Method to Analyze the Performance of Geocooling Systems with Borehole Heat Exchangers. Results in a Monitored Residential Building in Southern Alps," Energies, MDPI, vol. 14(21), pages 1-18, November.
    5. Esa Dube Kerme & Alan S. Fung & Wey H. Leong, 2024. "Analysis of the Combined Effect of Major Influencing Parameters for Designing High-Performance Single (sBHE) and Double (dBHE) U-Tube Borehole Heat Exchangers," Energies, MDPI, vol. 17(11), pages 1-52, May.
    6. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2018. "Evaluation of a transient borehole heat exchanger model in dynamic simulation of a ground source heat pump system," Energy, Elsevier, vol. 147(C), pages 81-93.
    7. Bi, Yuehong & Lyu, Tianli & Wang, Hongyan & Sun, Ruirui & Yu, Meize, 2019. "Parameter analysis of single U-tube GHE and dynamic simulation of underground temperature field round one year for GSHP," Energy, Elsevier, vol. 174(C), pages 138-147.
    8. Yang, Jiangming & Wu, Huijun & Xu, Xinhua & Huang, Gongsheng & Xu, Tao & Guo, Sitong & Liang, Yuying, 2019. "Numerical and experimental study on the thermal performance of aerogel insulating panels for building energy efficiency," Renewable Energy, Elsevier, vol. 138(C), pages 445-457.
    9. Biglarian, Hassan & Abdollahi, Sina, 2022. "Utilization of on-grid photovoltaic panels to offset electricity consumption of a residential ground source heat pump," Energy, Elsevier, vol. 243(C).

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