LAPSE:2023.22901
Published Article

LAPSE:2023.22901
A New Analytical Model for Calculating Transient Temperature Response of Vertical Ground Heat Exchangers with a Single U-Shaped Tube
March 24, 2023
Abstract
The transient temperature response is of great importance for evaluating the thermal capacity of ground heat exchangers (GHE). Based on the composition line source theory and superposition principle, we have developed a novel analytical model in Laplace space for calculating the temperature transient response. In comparison to the existing models, this proposed model can account for the fluid thermal storage effect and heat rate difference between the two legs of the single U-tube. With the aid of this proposed model, we conduct a thorough sensitivity analysis to investigate the effects of different influencing factors on the thermal transient response. The calculated results show that fluid thermal storage and the rate difference can significantly influence the thermal response during the early studied period. Therefore, the effect of fluid thermal storage should not be neglected when the early-time thermal response is investigated. The thermal interference between the two legs will reduce the heat capacity of GHEs. A large distance between these two legs can be favorable for practical use.
The transient temperature response is of great importance for evaluating the thermal capacity of ground heat exchangers (GHE). Based on the composition line source theory and superposition principle, we have developed a novel analytical model in Laplace space for calculating the temperature transient response. In comparison to the existing models, this proposed model can account for the fluid thermal storage effect and heat rate difference between the two legs of the single U-tube. With the aid of this proposed model, we conduct a thorough sensitivity analysis to investigate the effects of different influencing factors on the thermal transient response. The calculated results show that fluid thermal storage and the rate difference can significantly influence the thermal response during the early studied period. Therefore, the effect of fluid thermal storage should not be neglected when the early-time thermal response is investigated. The thermal interference between the two legs will reduce the heat capacity of GHEs. A large distance between these two legs can be favorable for practical use.
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Keywords
analytical model, transient temperature response, U-shaped tube
Subject
Suggested Citation
Gao S, Tang C, Luo W, Han J, Teng B. A New Analytical Model for Calculating Transient Temperature Response of Vertical Ground Heat Exchangers with a Single U-Shaped Tube. (2023). LAPSE:2023.22901
Author Affiliations
Gao S: School of Science, China University of Geosciences (Beijing), Beijing 100083, China
Tang C: Exploration Research Institute, Anhui Provincial Bureau of Coal Geology, Hefei 230088, China
Luo W: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China [ORCID]
Han J: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China
Teng B: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China [ORCID]
Tang C: Exploration Research Institute, Anhui Provincial Bureau of Coal Geology, Hefei 230088, China
Luo W: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China [ORCID]
Han J: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China
Teng B: School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, China [ORCID]
Journal Name
Energies
Volume
13
Issue
8
Article Number
E2120
Year
2020
Publication Date
2020-04-24
ISSN
1996-1073
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Original Submission
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PII: en13082120, Publication Type: Journal Article
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LAPSE:2023.22901
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https://doi.org/10.3390/en13082120
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Mar 24, 2023
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