Abstract
The present study involves a numerical simulation of a borehole heat exchanger (BHE) configuration that utilizes computational fluid dynamics (CFD) methodology. The BHE comprises a U-shaped pipe that facilitates the thermal exchange between water entering from one end and exiting from the opposite end. These heat exchangers are employed for both heating and cooling applications. This study concerns a system that employs water as its working fluid. The water enters a pipe at a higher temperature than that of the surrounding soil and subsequently exits with a lower temperature. The borehole wall temperature is examined in order to investigate the effects of inlet mass flow rate, backfill porosity, the presence of subterranean water, and its seepage velocity on the convection and conduction heat transfer, as well as on the system's performance. The results indicate that an increase in mass flow rate improves convection heat transfer. A porosity of 0.6 is deemed suitable under conditions of the absence of subterranean water, while a porosity of 0.2 is considered appropriate for backfill saturation and the presence of subterranean water. Also, an increase in subterranean water velocity seepage increases convection heat transfer, albeit at the expense of a decrease in system performance.
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Abbreviations
- C p :
-
Specific heat capacity (J/kg K)
- P :
-
Pressure (Pa)
- T :
-
Water outlet temperature (K)
- R :
-
Thermal resistance (m K/W)
- h :
-
Convective heat transfer coefficient of the circulating fluid (W/m2K)
- Re:
-
Reynolds number of the circulating fluid
- ṁ :
-
Mass flow rate (kg/s)
- U :
-
Effective velocity (m/s)
- k :
-
Permeability factor
- φ :
-
Porosity
- α :
-
Thermal diffusivity (m2/s)
- λ :
-
Thermal conductivity (W/m K)
- ρ :
-
Density (Kg/m3)
- µ :
-
Dynamic viscosity (Kg/ms)
- p :
-
Soil particles
- s :
-
Solid pipe wall
- w :
-
Water
- g :
-
Groundwater
- TRT:
-
Thermal response test
- BHE:
-
Borehole heat exchanger
- CFD:
-
Computational fluid dynamics
- RANS:
-
Reynolds averaged Naiver Stokes
- HDPE:
-
High-density polyethylene
References
Ahmad T, Plee S, Myers J, (2016) Fluent user’s guide, Canonsburg, PA: ANSYS. [Google Scholar]
Allahyarzadeh-Bidgoli A, Heidaryan E, Yanagihara JI, Pessôa Filho PD (2021) Assessment of correlations and simulation software to calculate phase diagrams of pre-salt fluids. Petrol Sci Technol 39(11–12):410–420. https://doi.org/10.1080/10916466.2021.1906700
Angelidis O, Ioannou A, Friedrich D, Thomson A, Falcone G (2023) District heating and cooling networks with decentralised energy substations: opportunities and barriers for holistic energy system decarbonisation. Energy 269:126740. https://doi.org/10.1016/j.energy.2023.126740
Angelotti A, Alberti L, La Licata I, Antelmi M (2014) Energy performance and thermal impact of a Borehole Heat Exchanger in a sandy aquifer: influence of the groundwater velocity. Energy Convers Manage 77:700–708. https://doi.org/10.1016/j.enconman.2013.10.018
Assanis DN, Papageorgak GC (1999) comparison of linear and nonlinear RNG-based k-epsilon models for incompressible turbulent flows. Numer Heat Transf: Part b: Fundam 35(1):1–22
Ataei-Dadavi I, Rounaghi N, Chakkingal M, Kenjeres S, Kleijn CR, Tummers MJ (2019) An experimental study of flow and heat transfer in a differentially side heated cavity filled with coarse porous media. Int J Heat Mass Transf 143:118591. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118591
Bejan A, Kraus AD (2003) Heat transfer handbook. J. Wiley, New York
Chen C, Shao H, Naumov D, Kong Y, Tu K, Kolditz O (2019) Numerical investigation on the performance, sustainability, and efficiency of the deep borehole heat exchanger system for building heating. Geotherm Energy 7(1):18. https://doi.org/10.1186/s40517-019-0133-8
Choi JC, Park J, Lee SR (2013) Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays. Renew Energy 52:230–240. https://doi.org/10.1016/j.renene.2012.10.028
Choi JC, Park J, Lee SR (2013) Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays. Renew Energy 52:230–240
Choi KS, Son MJ, Moon BE, Kim J, Seonwoo H (2024) Numerical analysis of the 200-m length borehole heat exchanger for the precise characterization of flow rate and thermal properties. J Biosyst Eng. https://doi.org/10.1007/s42853-023-00205-w
Dirker J, Meyer JP (2005) Convective heat transfer coefficients in concentric annuli. Heat Transf Eng 26(2):38–44. https://doi.org/10.1080/01457630590897097
Eswiasi A, Mukhopadhyaya P (2020) Critical Review on efficiency of ground heat exchangers in heat pump systems. Clean Technol 2(2):204–224. https://doi.org/10.3390/cleantechnol2020014
Fan R, Jiang Y, Yao Y, Shiming D, Ma Z (2007) “A study on the performance of a geothermal heat exchanger under coupled heat conduction and groundwater advection. Energy 32(11):2199–2209
Gao T et al (2024) A review of advances and applications of geothermal energy extraction using a gravity-assisted heat pipe. Geothermics 116:102856. https://doi.org/10.1016/j.geothermics.2023.102856
Ghasemi MH, Hoseinzadeh S, Memon S (2022) A dual-phase-lag (DPL) transient non-Fourier heat transfer analysis of functional graded cylindrical material under axial heat flux. Int Commun Heat Mass Transf 131:105858. https://doi.org/10.1016/j.icheatmasstransfer.2021.105858
Ghasemiasl R, Hoseinzadeh S, Javadi MA (2018) Numerical analysis of energy storage systems using two phase-change materials with nanoparticles. J Thermophys Heat Transf 32(2):440–448. https://doi.org/10.2514/1.T5252
Hadavimoghaddam F et al (2021) Prediction of dead oil viscosity: machine learning versus classical correlations. Energies. https://doi.org/10.3390/en14040930
Hoseinzadeh S, Heyns PS (2020) Thermo-structural fatigue and lifetime analysis of a heat exchanger as a feedwater heater in power plant. Eng Fail Anal 113:104548. https://doi.org/10.1016/j.engfailanal.2020.104548
Hoseinzadeh S, Moafi A, Shirkhani A, Chamkha AJ (2019) Numerical validation heat transfer of rectangular cross-section porous fins. J Thermophys Heat Transfer 33(3):698–704. https://doi.org/10.2514/1.T5583
Hoseinzadeh S, Assareh E, Riaz A, Lee M, Garcia DA (2023) Ocean thermal energy conversion (OTEC) system driven with solar-wind energy and thermoelectric based on thermo-economic analysis using multi-objective optimization technique. Energy Rep 10:2982–3000
Hoseinzadeh S, PaeinLamouki MA, Garcia DA (2024) Thermodynamic analysis of heat storage of ocean thermal energy conversion integrated with a two-stage turbine by thermal power plant condenser output water. J Energy Storage 84:110818. https://doi.org/10.1016/j.est.2024.110818
Huang S, Li J, Gao H, Dong J, Jiang Y (2024) Thermal performance of medium-deep U-type borehole heat exchanger based on a novel numerical model considering groundwater seepage. Renew Energy. https://doi.org/10.1016/j.renene.2024.119988
Huang X-W, Wang ZZ, Jiang P-M, Li K-Q, Tang C-X (2024) Meso-scale investigation of the effects of groundwater seepage on the thermal performance of borehole heat exchangers. Appl Therm Eng 236:121809. https://doi.org/10.1016/j.applthermaleng.2023.121809
Jarrahian A, Heidaryan E (2012) A novel correlation approach to estimate thermal conductivity of pure carbon dioxide in the supercritical region. J Supercrit Fluids 64:39–45. https://doi.org/10.1016/j.supflu.2012.02.008
Javadi H, Mousavi Ajarostaghi SS, Pourfallah M, Zaboli M (2019) Performance analysis of helical ground heat exchangers with different configurations. Appl Therm Eng 154:24–36. https://doi.org/10.1016/j.applthermaleng.2019.03.021
Javed S 2018 Comparison of performance and effectiveness of vertical borehole heat exchanger collectors. pp 38
Jordaan H, Stephan Heyns P, Hoseinzadeh S (2021) Numerical development of a coupled one-dimensional/three-dimensional computational fluid dynamics method for thermal analysis with flow maldistribution. J Therm Sci Eng Appl 13:041017. https://doi.org/10.1115/1.4049040
Kim E-J, Roux J-J, Rusaouen G, Kuznik F (2010) Numerical modelling of geothermal vertical heat exchangers for the short time analysis using the state model size reduction technique. Appl Therm Eng 30(6–7):706–714. https://doi.org/10.1016/j.applthermaleng.2009.11.019
Li G, Yang J, Zhu X, Shen Z (2021) Numerical study on the heat transfer performance of coaxial shallow borehole heat exchanger. Energy Built Environ 2(4):445–455. https://doi.org/10.1016/j.enbenv.2020.10.002
Marsh P, Ranmuthugala D, Penesis I, Thomas G (2017) The influence of turbulence model and two and three-dimensional domain selection on the simulated performance characteristics of vertical axis tidal turbines. Renew Energy 105:106–116. https://doi.org/10.1016/j.renene.2016.11.063
Mascarin L et al (2022) Selection of backfill grout for shallow geothermal systems: materials investigation and thermo-physical analysis. Constr Build Mater 318:125832. https://doi.org/10.1016/j.conbuildmat.2021.125832
Mehrpooya M, Mohammadi M, Ahmadi E (2018) Techno-economic-environmental study of hybrid power supply system: a case study in Iran. Sustain Energy Technol Assess 25:1–10. https://doi.org/10.1016/j.seta.2017.10.007
Mehrpooya M, Ghafoorian F, Farajyar S (2023) 3D-modeling of a coaxial borehole heat exchanger in Sahand field, Northwest Iran considering the porous medium and presence of nanofluids. Iran J Chem Chem Eng. https://doi.org/10.30492/ijcce.2023.1986071.5789
Mehrpooya M, Mirmotahari SR, Ghafoorian F, Karimkhani M, Ganjali MR (2023) Investigation of a packed bed energy storage system with different PCM configurations and heat transfer enhancement with fins using CFD modeling. Chem Pap. https://doi.org/10.1007/s11696-023-03251-y
Nichols RH (2010) Turbulence models and their application to complex flows. University of Alabama at Birmingham, Revision
Pan S, Kong Y, Chen C, Pang Z, Wang J (2020) Optimization of the utilization of deep borehole heat exchangers. Geotherm Energy 8(1):6. https://doi.org/10.1186/s40517-020-0161-4
Patankar S (2018) Numerical heat transfer and fluid flow. CRC Press
Quaggiotto D (2019) Simulation-based comparison between the thermal behavior of coaxial and double u-tube borehole heat exchangers”. Energies 12(12):2321. https://doi.org/10.3390/en12122321
Rico J, Hermanns M (2024) Thermal interaction of slender geothermal boreholes with creeping groundwater flows. Appl Therm Eng 236:121626. https://doi.org/10.1016/j.applthermaleng.2023.121626
Sadeghi H, Jalali R, Singh RM (2024) A review of borehole thermal energy storage and its integration into district heating systems. Renew Sustain Energy Rev 192:114236. https://doi.org/10.1016/j.rser.2023.114236
Saeidi R, Karimi A, Noorollahi Y (2024) The novel designs for increasing heat transfer in ground heat exchangers to improve geothermal heat pump efficiency. Geothermics 116:102844. https://doi.org/10.1016/j.geothermics.2023.102844
Sheikholeslami M, Jafaryar M, Ganji DD, Zhixiong L (2018) Exergy loss analysis for nanofluid forced convection heat transfer in a pipe with modified turbulators. J Mol Liq 262:104–110
Sheikholeslami M, Jafaryar M, Ganji DD, Li Z (2018) Exergy loss analysis for nanofluid forced convection heat transfer in a pipe with modified turbulators. J Mol Liq 262:104–110. https://doi.org/10.1016/j.molliq.2018.04.077
Sliwa T, Leśniak P, Sapińska-Śliwa A, Rosen MA (2022) Effective thermal conductivity and borehole thermal resistance in selected borehole heat exchangers for the same geology. Energies 15(3):1152. https://doi.org/10.3390/en15031152
Song X, Jiang M, Qin P (2019) Numerical investigation of the backfilling material thermal conductivity impact on the heat transfer performance of the buried pipe heat exchanger. IOP Conf Ser: Earth Environ Sci 267(4):042010. https://doi.org/10.1088/1755-1315/267/4/042010
Taghavinejad A, Sharifi M, Heidaryan E, Liu K, Ostadhassan M (2020) Flow modeling in shale gas reservoirs: a comprehensive review. J Nat Gas Sci Eng 83:103535. https://doi.org/10.1016/j.jngse.2020.103535
Toth A, Bobok E (2017) “Borehole heat exchangers”, in flow and heat transfer in geothermal systems. Elsevier, pp 287–298. https://doi.org/10.1016/B978-0-12-800277-3.00013-X
Wood CJ, Liu H, Riffat SB (2012) Comparative performance of ‘U-tube’ and ‘coaxial’ loop designs for use with a ground source heat pump. Appl Therm Eng 37:190–195. https://doi.org/10.1016/j.applthermaleng.2011.11.015
Zarrella A et al (2017) Thermal response testing results of different types of borehole heat exchangers: an analysis and comparison of interpretation methods. Energies 10(6):801. https://doi.org/10.3390/en10060801
Zhang C, Wang X, Sun P, Kong X, Sun S (2020) Effect of depth and fluid flow rate on estimate for borehole thermal resistance of single U-pipe borehole heat exchanger. Renew Energy 147:2399–2408. https://doi.org/10.1016/j.renene.2019.10.036
Zhu L, Chen S, Yang Y, Sun Y (2019) Transient heat transfer performance of a vertical double U-tube borehole heat exchanger under different operation conditions. Renew Energy 131:494–505. https://doi.org/10.1016/j.renene.2018.07.073
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Mehrpooya, M., Ghafoorian, F., Mohammadi Afzal, S.P. et al. A comprehensive transient heat transfer simulation of U-tube borehole heat exchanger considering porous media and subterranean water seepage. Chem. Pap. (2024). https://doi.org/10.1007/s11696-024-03443-0
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DOI: https://doi.org/10.1007/s11696-024-03443-0