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STUDY ON THE SIMPLIFIED MODEL OF VERTICAL DOUBLE U-PIPE GROUND HEAT EXCHANGER

ABSTRACT
A simplified semi-analytical model of vertical double U-pipe ground heat exchanger was established. The validity of the established model is examined by contrasting the figured outcomes with experiment data, emulation results of 3-D numerical model and calculation results of infinite line-source model for different inlet boundary conditions and configurations. After one hour, the semi-analytical model’s relative error is less than 0.32% under the boundary condition of given inlet fluid temperature. Under the boundary condition of given total heat input rate, the semi-analytical model’s relative error after ten hours is less than 0.11%, while the infinite line-source model’s relative error is less than 0.60%. The semi-analytical model is in good agreement with experiment and numerical model, and has higher calculation accuracy than infinite line-source model.
KEYWORDS
PAPER SUBMITTED: 2022-09-22
PAPER REVISED: 2022-12-15
PAPER ACCEPTED: 2022-12-22
PUBLISHED ONLINE: 2023-03-11
DOI REFERENCE: https://doi.org/10.2298/TSCI220922048W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 5, PAGES [4035 - 4048]
REFERENCES
  1. Li, W. X., et al., Experimental and Numerical Studies on the Thermal Performance of Ground Heat Exchangers in a Layered Subsurface with Groundwater, Renewable Energy, 147 (2020), Mar., pp. 620-629
  2. Cenejac, A. R., et al., Covering of Heating Load of Object by Using Ground Heat as a Renewable Energy Source, Thermal Science, 16 (2012), July, pp. S225-S235
  3. Zhang, Y., Qi, Y. F., The 3-D Numerical Simulation of Heat Transfer for The Vertical U-Type Berried Pipe of the Ground Source Heat Pump, Advanced Materials Research, 827 (2013), Oct., pp. 203-208
  4. Chen, J. H., et al., Simulation and Experimental Analysis of Optimal Buried Depth of The Vertical U-Tube Ground Heat Exchanger for a Ground-Coupled Heat Pump System, Renewable Energy, 73 (2015), Jan., pp. 46-54
  5. Liu, Y., et al., Vertical U-Shaped Heat Exchangers for Construction Engineering New Promises and Future Challenges, Thermal Science, 25 (2021), 3B, pp. 2253-2261
  6. You, S., et al., Operation Mode and Heat Performance of Energy Drilled Piles, Thermal Science, 25 (2021), 6B, pp. 4553-4560
  7. Raymond, J., et al., Extending Thermal Response Test Assessments with Inverse Numerical Modelling of Temperature Profiles Measured in Ground Heat Exchangers, Renewable Energy, 99 (2016), Dec., pp. 614-621
  8. Sun, Z. C., et al., Research on Heat Transfer Characteristics and Borehole Field Lay-Out of Ground Heat Exchangers to Alleviate Thermal Accumulation with Groundwater Advection, Thermal Science, 25 (2021), 4A, pp. 2781-2794
  9. Kayaci, N., Demir, H., Numerical modelling of transient soil temperature distribution for horizontal Ground Heat Exchanger of Ground Source Heat Pump, Geothermics, 73 (2018), Jan., pp. 33-47
  10. Gan, G. H., A numerical Methodology for Comprehensive Assessment of the Dynamic Thermal Performance of Horizontal Ground Heat Exchangers, Thermal Science and Engineering Progress, 11 (2019), Apr., pp. 365-379
  11. Habibi, M., et al., A Numerical Study on Utilizing Horizontal Flat-Panel Ground Heat Exchangers in Ground-Coupled Heat Pumps, Renewable Energy, 147 (2020), Sep., pp. 996-1010
  12. Zeng, H. Y., et al., Heat Transfer Analysis of Boreholes in Vertical Ground Heat Exchangers, International Journal of Heat Transfer, 46 (2003), Apr., pp. 4467-4481
  13. Conti, P., et al., Revised Heat Transfer Modelling of Double-U Vertical Ground-Coupled Heat Exchangers, Applied Thermal Engineering, 106 (2016), Aug., pp. 1257-1267
  14. Zarrella, A., et al., Short Time Step Analysis of Vertical Ground-Coupled Heat Exchangers: The Approach of CaRM, Renewable Energy, 36 (2011), Sep., pp. 2357-2367
  15. Luo, Y, Q., Xu, G. Z., Dynamic Thermal Analysis of Vertical Double-U Type Ground Heat Exchanger (in Chinese), Journal of Huazhong University of Science and Technology (Nature Science Edition), 49 (2021), Jan., pp. 122-127
  16. Magraner, T., et al., Thermal Response Test Analysis for U-Pipe Vertical Borehole Heat Exchangers Under Groundwater Flow Conditions, Renewable Energy, 165 (2021), Nov., pp. 391-404
  17. Zeng, H. Y., et al., A Finite Line-Source Model for Boreholes in Geothermal Heat Exchangers, Heat Transfer - Asian Research, 31 (2002), 7, pp. 558-567
  18. Babak, D. B., Kukrer, E., A New 1-D Analytical Model for Investigating the Long Term Heat Transfer Rate of a Borehole Ground Heat Exchanger by Green's Function Method, Renewable Energy, 108 (2017), Aug., pp. 615-621
  19. Erol, S., Francois, B., Multilayer Analytical Model for Vertical Ground Heat Exchanger with Groundwater Flow, Geothermics, 71 (2018), Sep., pp. 294-305
  20. Nian, Y. L., Cheng, W. L., Analytical g-Function for Vertical Geothermal Boreholes with Effect of Borehole Heat Capacity, Applied Thermal Engineering, 140 (2018), May., pp. 733-744
  21. Pan, A. Q., et al., A Novel Analytical Multilayer Cylindrical Heat Source Model for Vertical Ground Heat Exchangers Installed in Layered Ground, Energy, 200 (2020), 117545
  22. Li, M., Lai, A. C. K., New Temperature Response Functions (G Functions) for Pile and Borehole Ground Heat Exchangers Based on Composite-Medium Line-Source Theory, Energy, 38 (2012), Feb., pp. 255-263
  23. Li, M., Lai, A. C. K., Analytical Model for Short-Time Responses of Ground Heat Exchangers with U-Shaped Tubes: Model Development And Validation, Applied Energy, 104 (2013), Apr., pp. 510-516
  24. Li, M., Yang, Y., Short-Time Performance of Composite-Medium Line-Source Model for Predicting Responses of Ground Heat Exchangers With Single U-Shaped Tube, International Journal of Thermal Science, 82 (2014), Aug., pp. 130-137
  25. Li, M., et al., Full-Scale Temperature Response Function (G-Function) for Heat Transfer by Borehole Ground Heat Exchangers (Ghes) From Sub-Hour To Decades, Applied Energy, 136 (2014), Dec., pp. 197-205
  26. Wang, C. L., et al., A Simplified Semi-Numerical Model to Simulate a U-Pipe Ground Heat Exchanger, Numerical Heat Transfer - Part A: Applications, 77 (2020), Jan., pp. 482-496
  27. Wei, J. H., et al., A New Analytical Model for Short-Time Response of Vertical Ground Heat Exchangers Using Equivalent Diameter Method, Energy and Buildings, 119 (2016), Mar., pp. 13-19
  28. Su, H., et al., Fast Simulation of a Vertical U-Tube Ground Heat Exchanger by Using A 1-D Transient Numerical Model, Numerical Heat Transfer - Part A: Applications, 60 (2011), Aug., pp. 328-346
  29. Diao, N. R., et al., Improvement in Modelling Of Heat Transfer In Vertical Ground Heat Exchangers, HVAC and R Research, 10 (2004), Feb., pp. 459-470
  30. Ma, Z. D., et al., Numerical Simulation on Heat Transfer Inside and Outside of Vertical Buried Pipes Based on Two-Model Order Reduction Methods, Numerical Heat Transfer - Part A: Applications, 79 (2021), Jan., pp. 631-655
  31. Liao, Q., et al., Effective Borehole Thermal Resistance of A Single U-Tube Ground Heat Exchanger, Numerical Heat Transfer, Part A: Applications, 62 (2012), Apr., pp. 197-210
  32. Lee, C. K., Lam, H. N., Computer Simulation of Borehole Ground Heat Exchangers for Geothermal Heat Pump Systems, Renewable Energy, 33 (2008), Aug., pp. 1286-1296
  33. Liu, Z. Y., et al., Multilayer Quasi-3-D Model for the Heat Transfer Inside the Borehole Wall of a Vertical Ground Heat Exchanger, Geothermics, 83 (2020), 101711
  34. Al-Khoury, R., Bonnier, P. G., Efficient Finite Element Formulation for Geothermal Heating Systems - Part II: Transient, International Journal For Numerical Methods in Engineering, 67 (2006), Jan., pp. 725-745
  35. Al-Khoury, R., et al., Efficient Numerical Modelling of Borehole Heat Exchangers, Computers and Geosciences, 36 (2010), Dec., pp. 1301-1315
  36. Marcotte, B., Bernier, M., Experimental Validation of a TRC Model for a Double U-Tube Borehole with Two Independent Circuits, Applied Thermal Engineering, 162 (2019), 114229
  37. Spitler, J. D., Gehlin, S. E. A., Thermal Response Testing for Ground Source Heat Pump System - An Historical Review, Renewable and Sustainable Energy Reviews, 50 (2015), May, pp. 1125-1137
  38. Li, W. X., et al., Numerical Modelling of Thermal Response of a Ground Heat Exchanger with Single U-Shaped Tube, Science and Technology for the Built Environment, 25 (2018), Nov., pp. 525-533
  39. Beier, R. A., Transient Heat Transfer in A U-Tube Borehole Heat Exchanger, Applied Thermal Engineering, 62 (2014), July, pp. 256-266
  40. Lamarche, L., Beauchamp, B., New Solutions for the Short-Time Analysis of Geothermal Vertical Boreholes, International Journal of Heat and Mass Transfer, 50 (2017), Nov., pp. 1408-1419
  41. Chen, J. H., A Study on Layered Heat Transfer Model of Vertical Double U-Tube Ground Heat Exchangers (in Chinese), M. Sc. thesis, Chongqing University, Chongqing, China, 2015

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence