IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v104y2017icp224-237.html
   My bibliography  Save this article

A numerical model for transient simulation of borehole heat exchangers

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096014811631059X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2016.12.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    3. 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.
    4. Lee, C.K. & Lam, H.N., 2008. "Computer simulation of borehole ground heat exchangers for geothermal heat pump systems," Renewable Energy, Elsevier, vol. 33(6), pages 1286-1296.
    5. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    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 & 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).
    7. 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.
    8. 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.
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    5. Claudia Naldi & Enzo Zanchini, 2019. "Full-Time-Scale Fluid-to-Ground Thermal Response of a Borefield with Uniform Fluid Temperature," Energies, MDPI, vol. 12(19), pages 1-18, September.
    6. Ikeda, Shintaro & Choi, Wonjun & Ooka, Ryozo, 2017. "Optimization method for multiple heat source operation including ground source heat pump considering dynamic variation in ground temperature," Applied Energy, Elsevier, vol. 193(C), pages 466-478.
    7. Ma, WeiWu & Li, Min & Li, Ping & Lai, Alvin C.K., 2015. "New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance," Energy, Elsevier, vol. 90(P1), pages 578-587.
    8. Aminhossein Jahanbin & Claudia Naldi & Enzo Zanchini, 2020. "Relation Between Mean Fluid Temperature and Outlet Temperature for Single U-Tube Boreholes," Energies, MDPI, vol. 13(4), pages 1-23, February.
    9. 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.
    10. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    11. Zhang, Linfeng & Huang, Gongsheng & Zhang, Quan & Wang, Jinggang, 2018. "An hourly simulation method for the energy performance of an office building served by a ground-coupled heat pump system," Renewable Energy, Elsevier, vol. 126(C), pages 495-508.
    12. Dehghan B., Babak & Kukrer, Ergin, 2017. "A new 1D analytical model for investigating the long term heat transfer rate of a borehole ground heat exchanger by Green's function method," Renewable Energy, Elsevier, vol. 108(C), pages 615-621.
    13. Claudia Naldi & Aminhossein Jahanbin & Enzo Zanchini, 2021. "A New Estimate of Sand and Grout Thermal Properties in the Sandbox Experiment for Accurate Validations of Borehole Simulation Codes," Energies, MDPI, vol. 14(4), pages 1-25, February.
    14. Li, Xiaolei & Xu, Ershu & Song, Shuang & Wang, Xiangyan & Yuan, Guofeng, 2017. "Dynamic simulation of two-tank indirect thermal energy storage system with molten salt," Renewable Energy, Elsevier, vol. 113(C), pages 1311-1319.
    15. Alaie, Omid & Maddahian, Reza & Heidarinejad, Ghassem, 2021. "Investigation of thermal interaction between shallow boreholes in a GSHE using the FLS-STRCM model," Renewable Energy, Elsevier, vol. 175(C), pages 1137-1150.
    16. 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.
    17. Cimmino, Massimo, 2016. "Fluid and borehole wall temperature profiles in vertical geothermal boreholes with multiple U-tubes," Renewable Energy, Elsevier, vol. 96(PA), pages 137-147.
    18. Matt S. Mitchell & Jeffrey D. Spitler, 2020. "An Enhanced Vertical Ground Heat Exchanger Model for Whole-Building Energy Simulation," Energies, MDPI, vol. 13(16), pages 1-27, August.
    19. Nguyen, A. & Pasquier, P. & Marcotte, D., 2015. "Thermal resistance and capacity model for standing column wells operating under a bleed control," Renewable Energy, Elsevier, vol. 76(C), pages 743-756.
    20. Al-Khoury, Rafid & Focaccia, Sara, 2016. "A spectral model for transient heat flow in a double U-tube geothermal heat pump system," Renewable Energy, Elsevier, vol. 85(C), pages 195-205.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:104:y:2017:i:c:p:224-237. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.