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| Titre:  | Numerical simulation of natural convection between two concentric isothermal spheres at moderate Rayleigh number |  
| Auteur(s):  | Baghli, Houda Cheddadi, Abdelkhalek |  
| Mots-clés:  | Natural Convection Numerical Rayleigh Number Simulation Spherical annuli |  
| Date de publication:  | 2019 |  
| Editeur:  | American Institute of Physics |  
| Collection/Numéro:  | AIP Conference Proceedings/ Vol.2190, N°1 (2019); |  
| Résumé:  | The numerical Simulation of natural convection within an incompressible Newtonian fluid confined between two isothermal and concentric spheres is carried out. The phenomenon considered is two-dimensional, axisymmetric and permanent, with an annular space ratio of A = 2, filled with air Pr = 0.7, at moderate Rayleigh number Ra between 103 and 106. Simultaneous resolution of the continuity equations, of Navier-Stokes and energy, is carried out by the combination of the implicit method of alternate directions (ADI) with the method of convergence acceleration by successive replacement (SAR), in the Vorticity-Stream function formulation. The isovalues of temperature T and the steam function ψ obtained, as well as the Average Nusselt number, are in a good agreement with previous studies, and gives new Nusselt number correlation Nu = f(Ra) |  
| URI/URL:  | https://aip.scitation.org/doi/10.1063/1.5138560 http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/6592 |  
| ISSN:  | 0094-243X |  
| Collection(s) : | Communications Internationales
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