Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres

Abderrahmane Baïri, Nacim Alilat, Alexander Martín-Garín, Kemi Adeyeye, José-Antonio Millán-García and Luis Roseiro
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Abderrahmane Baïri: Laboratoire Thermique Interfaces Environnement (LTIE), Université de Paris, EA 4415, 50 Rue de Sèvres, F-92410 Ville d’Avray, France
Nacim Alilat: Laboratoire Thermique Interfaces Environnement (LTIE), Université de Paris, EA 4415, 50 Rue de Sèvres, F-92410 Ville d’Avray, France
Alexander Martín-Garín: 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
Kemi Adeyeye: Department of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK
José-Antonio Millán-García: 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
Luis Roseiro: Polytechnic of Coimbra, ISEC, Rua Pedro Nunes—Quinta da Nora, 3030-199 Coimbra, Portugal

Energies, 2021, vol. 14, issue 22, 1-10

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 × 10 3 –4.50 × 10 8 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.

Keywords: natural convection; electronic packaging; numerical approach; concentric semi-hemispheres; buildings; architecture (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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