Calculation of heat removal from a pipe buried in the soil
DOI:
https://doi.org/10.5281/zenodo.17395045Ключевые слова:
thermal power, heat flux density, circular isotherm, temperature distributionЛицензия
Аннотация
An analytical solution is developed for steady-state heat transfer from a buried circular pipe to greenhouse soil, modeled using a point source (logarithmic singularity). The source location differs from the pipe center. An approximate heat transfer condition on the soil surface is introduced, with negligible error in practice. Explicit equations are provided for soil temperature distribution, surface temperature, total heat flux from the pipe, and surface heat flux density. This approach addresses sustainable heating using secondary energy resources.
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Библиографические ссылки
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СПИСОК ИСТОЧНИКОВ
1. Jilani, Md. N. H. Computational fluid dynamics simulation of earth air heat exchanger combined with the Quonset type greenhouse to develop a sustainable controlled environment / Md. N. H. Jilani, P. K. Mohapatra // Geothermics. – 2024. – Vol. 116. – P. 102845. – DOI 10.1016/j.geothermics.2023.102845.
2. Structural design method, validation, and performance analysis of an earth-air heat exchanger for greenhouses / J. Xiao, Y. Hu, Q. Wang, J. Li // Geothermics. – 2023. – Vol. 111. – P. 102718. – DOI 10.1016/j.geothermics.2023.102718. – EDN UMIOBB.
3. Design challenges of agricultural greenhouses in hot and arid environments – A review / S. Ghani, F. Bakochristou, E. M. A. A. Elbialy [et al.] // Engineering in Agriculture, Environment and Food. – 2019. – Vol. 12, No. 1. – P. 48–70. – DOI 10.1016/j.eaef.2018.09.004. – EDN TIIDHC.
4. Hillel, D. Thermal properties and processes / D. Hillel // Encyclopedia of Soils in the Environment. Elsevier, 2005. – P. 156–163.
5. Towards automated greenhouse: A state of the art review on greenhouse monitoring methods and technologies based on internet of things / H. Li, Y. Guo, H. Zhao [et al.] // Computers and Electronics in Agriculture. – 2021. – Vol. 191. – P. 106558. – DOI 10.1016/j.compag.2021.106558. – EDN SFMPZE.
6. Baptista, F.J.F. Modelling the climate in unheated tomato greenhouses and predicting Botrytis cinerea infection: Doctoral dissertation / F.J.F. Baptista. – Portugal: Universidade de Evora, 2007. – 180 p.
7. Performance analysis of an earth–air heat exchanger integrated into an agricultural irrigation system for a greenhouse environmental temperature-control system / L.-H. Yang, B.-H. Huang, C.-Y. Hsu [et al.] // Energy and Buildings. – 2019. – Vol. 202. – P. 109381.
8. Optimizing the thermal environment of greenhouse with multi-pipe earth-to-air heat exchanger system using the Taguchi method / Di. Qi, Q. Liu, Ch. Zhao [et al.] // Applied Thermal Engineering. – 2024. – Vol. 242. – P. 122469. – DOI 10.1016/j.applthermaleng.2024.122469. – EDN DCYJUR.
9. Enhancing the thermal performance of an agricultural solar greenhouse by geothermal energy using an earth-air heat exchanger system: A review / N. S. Dhaidan, W. A. M. Al-Shohani, H. H. Abbas [et al.] // Geothermics. – 2024. – Vol. 123. – P. 103115. – DOI 10.1016/j.geothermics.2024.103115.
10. Advances in ground heat exchangers for space heating and cooling: Review and perspectives / P. Cui, W. Yang, W. Zhang [et al.] // Energy and Built Environment. – 2024. – Vol. 5, No. 2. – P. 255-269. – DOI 10.1016/j.enbenv.2022.10.002. – EDN ZEVPAP.
11. Frequency-dependent thermal resistance of vertical U-tube geothermal heat exchangers / B. S. Tilley, V. C. Yang, J. C. Baiense [et al.] // Journal of Engineering Mathematics. – 2017. – Vol. 102, № 1. – P. 131–150.
12. Experimental and numerical study of the characteristics of finned-tube oil radiators of power engineering devices / A. N. Skrypnik, A. M. Ermakov, R. T. Kalimullin [et al.] // Heat Transfer Research. – 2020. – Vol. 51, No. 14. – P. 1261-1271. – DOI 10.1615/HEATTRANSRES.2020035459. – EDN NYDZRO.
13. Ghosal, M. K. Parametric studies for heating performance of an earth to air heat exchanger coupled with a greenhouse / M. K. Ghosal, G. N. Tiwari // International Journal of Energy Research. – 2005. – Vol. 29, № 11. – P. 991–1005. – DOI 10.1002/er.1106.
14. Nauta, A. Simulation of an Earth-Air Heat Exchanger in a Commercial Greenhouse to Improve Energy Efficiency / A. Nauta, S. H. Tasnim, W. D. Lubitz // Journal of Biosystems Engineering. – 2023. – Vol. 48, No. 3. – P. 291-308. – DOI 10.1007/s42853-023-00188-8. – EDN AAHLDV.
15. Hegazy, A. Closed Greenhouse Heating in an Arid Egyptian Winter Using Earth-Air Heat Exchangers / A. Hegazy, A. Subiantoro, S. Norris // Proceedings of the ASME 2021 International Mechanical Engineering Congress and Exposition. Volume 11: Heat Transfer and Thermal Engineering. – 2021. – V011T11A077. – DOI 10.1115/IMECE2021-69509.
16. Structural optimization of multi-pipe earth to air heat exchanger in greenhouse / Di. Qi, Sh. Li, Ch. Zhao [et al.] // Geothermics. – 2022. – Vol. 98. – P. 102288. – DOI 10.1016/j.geothermics.2021.102288. – EDN XOAIMQ.
17. Morshed, W. Heating performance of the PVC earthair tubular heat exchanger applied to a greenhouse in the coastal area of west Syria: An experimental study / W. Morshed, L. Abbas, H. Nazha // Thermal Science and Engineering Progress. – 2022. – Vol. 27. – P. 101000. – DOI 10.1016/j.tsep.2021.101000. – EDN GFUEUP.
18. Evaluation of thermal performance of single pass earth–air heat exchanger in heating mode / N. Deldan, A. Rajan, V. S. Hans, A. Kaushal // Environmental Progress & Sustainable Energy. – 2017. – Vol. 36, № 4. – P. 1253–1261. – DOI 10.1002/ep.12566.
19. Metz, P. D. A Simple Computer Program to Model Three-Dimensional Underground Heat Flow With Realistic Boundary Conditions / P. D. Metz // Journal of Solar Energy Engineering. – 1983. – Vol. 105, № 1. – P. 42–49. – DOI 10.1115/1.3266345.
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21. Khatoon, Z. Numerical Analysis of Thermal Properties in Ground-Coupled Heat Exchanger / Z. Khatoon, R. Srivastava, V. K. Patel / Recent Advances in Mechanical Engineering, Volume 1. ICMech-REC 2023. Lecture Notes in Mechanical Engineering. – Singapoure: Springer, 2024. – P. 373–386. – DOI 10.1007/978-981-97-0918-2_30.
22. A new heat transfer model for single U-pipe ground heat exchanger / C.-L. Wang, H. Li, Y.-H. Lu [et al.] // Applied Thermal Engineering. – 2019. – Vol. 154. – P. 400–406. – DOI 10.1016/j.applthermaleng.2019.03.115.
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