Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers
The study of heat transfer in ground heat exchangers (GHEs) considering the fluid advection inside the pipes; the heat transfer between the fluid and the ground through the grout material; and the thermal interaction between GHEs is a challenging task. The present paper presents a new semi-analytica...
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| Format: | Article |
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MDPI AG
2022-07-01
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| Series: | Thermo |
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| Online Access: | https://www.mdpi.com/2673-7264/2/3/14 |
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| author | Carlos Prieto Massimo Cimmino |
| author_facet | Carlos Prieto Massimo Cimmino |
| author_sort | Carlos Prieto |
| collection | DOAJ |
| description | The study of heat transfer in ground heat exchangers (GHEs) considering the fluid advection inside the pipes; the heat transfer between the fluid and the ground through the grout material; and the thermal interaction between GHEs is a challenging task. The present paper presents a new semi-analytical method that takes into account the aforementioned effects to consider both the short- to long-term effects of GHEs. The heat transfer between the fluid and grout was studied by a transient multipole expansion considering time-dependent fluid temperatures and an advection model for the pipes obtained from an energy balance on the heat carrier fluid. Thermal interactions were analyzed using an equivalent borehole method while penalizing the transient multipole expansion to include thermal interaction effects. Validation of the short-term predictions was performed by comparing the proposed model to experimental data found in the literature and to an FEA model. The proposed model was then compared with a FEA model in long-term simulations of a geothermal field comprised of 24 GHEs for multi-annual simulation. The method resulted in substantial reduction in computational time while preserving good accuracy when compared with the FEA model. |
| first_indexed | 2024-03-09T22:21:44Z |
| format | Article |
| id | doaj.art-fd6b0e6bbe2e47cbab8e3d83f38bf395 |
| institution | Directory Open Access Journal |
| issn | 2673-7264 |
| language | English |
| last_indexed | 2024-03-09T22:21:44Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Thermo |
| spelling | doaj.art-fd6b0e6bbe2e47cbab8e3d83f38bf3952023-11-23T19:14:30ZengMDPI AGThermo2673-72642022-07-012317119910.3390/thermo2030014Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat ExchangersCarlos Prieto0Massimo Cimmino1Department of Mechanical Engineering, Polytechnique Montréal, Case Postale 6079, Succursale “Centre-ville”, Montreal, QC H3C 3A7, CanadaDepartment of Mechanical Engineering, Polytechnique Montréal, Case Postale 6079, Succursale “Centre-ville”, Montreal, QC H3C 3A7, CanadaThe study of heat transfer in ground heat exchangers (GHEs) considering the fluid advection inside the pipes; the heat transfer between the fluid and the ground through the grout material; and the thermal interaction between GHEs is a challenging task. The present paper presents a new semi-analytical method that takes into account the aforementioned effects to consider both the short- to long-term effects of GHEs. The heat transfer between the fluid and grout was studied by a transient multipole expansion considering time-dependent fluid temperatures and an advection model for the pipes obtained from an energy balance on the heat carrier fluid. Thermal interactions were analyzed using an equivalent borehole method while penalizing the transient multipole expansion to include thermal interaction effects. Validation of the short-term predictions was performed by comparing the proposed model to experimental data found in the literature and to an FEA model. The proposed model was then compared with a FEA model in long-term simulations of a geothermal field comprised of 24 GHEs for multi-annual simulation. The method resulted in substantial reduction in computational time while preserving good accuracy when compared with the FEA model.https://www.mdpi.com/2673-7264/2/3/14ground-coupled heat pumpsground heat exchangerstransient multipole expansionequivalent boreholesthermal interactions |
| spellingShingle | Carlos Prieto Massimo Cimmino Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers Thermo ground-coupled heat pumps ground heat exchangers transient multipole expansion equivalent boreholes thermal interactions |
| title | Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers |
| title_full | Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers |
| title_fullStr | Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers |
| title_full_unstemmed | Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers |
| title_short | Semi-Analytical Method for 3D Transient Heat Transfer in Thermally Interacting Fields of Ground Heat Exchangers |
| title_sort | semi analytical method for 3d transient heat transfer in thermally interacting fields of ground heat exchangers |
| topic | ground-coupled heat pumps ground heat exchangers transient multipole expansion equivalent boreholes thermal interactions |
| url | https://www.mdpi.com/2673-7264/2/3/14 |
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