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

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)


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.

Original languageEnglish
Article number7479
Issue number22
Early online date9 Nov 2021
Publication statusPublished - 30 Nov 2021


  • Architecture
  • Buildings
  • Concentric semi-hemispheres
  • Electronic packaging
  • Natural convection
  • Numerical approach

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Energy (miscellaneous)
  • Control and Optimization
  • Electrical and Electronic Engineering


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