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,
Luis Roseiro
Affiliations
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
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.
