LAPSE:2023.17512
Published Article

LAPSE:2023.17512
Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres
March 6, 2023
Abstract
Free convective heat transfer in the closed gap between concentric semi-hemispheres is quantified by means of a numerical approach based on the volume control method using the SIMPLE algorithm. The average Nusselt number is determined for several configurations obtained by varying the cavity’s aspect ratio between 0.15 and 1.5, while the Rayleigh number varies within the 5.33 × 103−4.50 × 108 range. The results show that the correlations available in the literature dealing with concentric whole spheres cannot be used for the configuration treated here. The new correlation between the Nusselt and Rayleigh numbers proposed in this work can be applied in various engineering sectors, such as in the electronic packaging considered in this present work, buildings, and architecture.
Free convective heat transfer in the closed gap between concentric semi-hemispheres is quantified by means of a numerical approach based on the volume control method using the SIMPLE algorithm. The average Nusselt number is determined for several configurations obtained by varying the cavity’s aspect ratio between 0.15 and 1.5, while the Rayleigh number varies within the 5.33 × 103−4.50 × 108 range. The results show that the correlations available in the literature dealing with concentric whole spheres cannot be used for the configuration treated here. The new correlation between the Nusselt and Rayleigh numbers proposed in this work can be applied in various engineering sectors, such as in the electronic packaging considered in this present work, buildings, and architecture.
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Keywords
architecture, buildings, concentric semi-hemispheres, electronic packaging, natural convection, numerical approach
Subject
Suggested Citation
Baïri A, Alilat N, Martín-Garín A, Adeyeye K, Millán-García JA, Roseiro L. Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres. (2023). LAPSE:2023.17512
Author Affiliations
Baïri A: Laboratoire Thermique Interfaces Environnement (LTIE), Université de Paris, EA 4415, 50 Rue de Sèvres, F-92410 Ville d’Avray, France
Alilat N: Laboratoire Thermique Interfaces Environnement (LTIE), Université de Paris, EA 4415, 50 Rue de Sèvres, F-92410 Ville d’Avray, France
Martín-Garín A: ENEDI Research Group, Department of Thermal Engineering, Faculty of Engineering of Gipuzkoa, Universidad del Pais Vasco UPV/EHU, Plaza Europa 1, 20018 Donostia-San Sebastián, Spain [ORCID]
Adeyeye K: Department of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK
Millán-García JA: ENEDI Research Group, Department of Thermal Engineering, Faculty of Engineering of Gipuzkoa, Universidad del Pais Vasco UPV/EHU, Plaza Europa 1, 20018 Donostia-San Sebastián, Spain [ORCID]
Roseiro L: Polytechnic of Coimbra, ISEC, Rua Pedro Nunes—Quinta da Nora, 3030-199 Coimbra, Portugal [ORCID]
Alilat N: Laboratoire Thermique Interfaces Environnement (LTIE), Université de Paris, EA 4415, 50 Rue de Sèvres, F-92410 Ville d’Avray, France
Martín-Garín A: ENEDI Research Group, Department of Thermal Engineering, Faculty of Engineering of Gipuzkoa, Universidad del Pais Vasco UPV/EHU, Plaza Europa 1, 20018 Donostia-San Sebastián, Spain [ORCID]
Adeyeye K: Department of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK
Millán-García JA: ENEDI Research Group, Department of Thermal Engineering, Faculty of Engineering of Gipuzkoa, Universidad del Pais Vasco UPV/EHU, Plaza Europa 1, 20018 Donostia-San Sebastián, Spain [ORCID]
Roseiro L: Polytechnic of Coimbra, ISEC, Rua Pedro Nunes—Quinta da Nora, 3030-199 Coimbra, Portugal [ORCID]
Journal Name
Energies
Volume
14
Issue
22
First Page
7479
Year
2021
Publication Date
2021-11-09
ISSN
1996-1073
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Original Submission
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PII: en14227479, Publication Type: Journal Article
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LAPSE:2023.17512
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https://doi.org/10.3390/en14227479
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Mar 6, 2023
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